Statistical theory and inference

Statistical Theory and Inference

Volumn , Issue , 2014, Pages 1-434

  Olive, David J ^a  

^a Southern Illinois University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84930840439     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/978-3-319-04972-4     Document Type: Book

References (260)

1. Abuhassan, H. (2007), Some Transformed Distributions, Ph.D. Thesis, Southern Illinois University, see (http://lagrange.math.siu.edu/Olive/shassan.pdf).
2. Abuhassan, H., and Olive, D.J. (2008), "Inference for the Pareto, Half Normal and Related Distributions," unpublished manuscript, (http://lagrange.math.siu.edu/Olive/pppar.pdf).
3. Adell, J.A., and Jodrá, P. (2005), "Sharp Estimates for the Median of the (n+1,1) Distribution," Statistics & Probability Letters, 71, 185-191.
4. Agresti, A., and Caffo, B. (2000), "Simple and Effective Confidence Intervals for Proportions and Difference of Proportions Result by Adding Two Successes and Two Failures," The American Statistician, 54, 280-288.
5. Agresti, A., and Coull, B.A. (1998), "Approximate is Better than Exact for Interval Estimation of Binomial Parameters," The American Statistician, 52, 119-126.
6. Al-Mutairi, D.K., Ghitany, M.E., and Kundu, D. (2013), "Inference on Stress-Strength Reliability from Lindley Distributions," Communications in Statistics: Theory and Methods, 42, 1443-1463.
7. Anderson, T.W. (1984), An Introduction to Multivariate Statistical Analysis, 2nd ed., Wiley, New York, NY.
8. Apostol, T.M. (1957), Mathematical Analysis: a Modern Approach to Advanced Calculus, Addison-Wesley, Reading, MA.
9. Arnold, S.F. (1990), Mathematical Statistics, Prentice Hall, Upper Saddle River, NJ.
10. Ash, C. (1993), The Probability Tutoring Book: an Intuitive Course for Engineers and Scientists (and Everyone Else!), IEEE Press, Piscataway, NJ.
11. Ash, R.B. (1972), Real Analysis and Probability, Academic Press, San Diego, CA.
12. Ash, R.B. (2011), Statistical Inference: a Concise Course, Dover, Mineola, NY.
13. Ash, R.B. (2013), Lectures on Statistics, online at (http://www.math.uiuc.edu/~r-ash/).
14. Ash, R.B., and Doleans-Dade, C.A. (1999), Probability and Measure Theory, 2nd ed., Academic Press, San Diego, CA.
15. Azzalini, A. (1996), Statistical Inference Based on Likelihood, Chapman & Hall/CRC, Boca Raton, FL.
16. Bahadur, R.R. (1958), "Examples of Inconsistency of Maximum Likelihood Estimators," Sankhya¯, 20, 207-210.
17. Bain, L.J. (1978), Statistical Analysis of Reliability and Life-Testing Models, Marcel Dekker, New York, NY.
18. Bain, L.J., and Engelhardt, M. (1992), Introduction to Probability and Mathematical Statistics, Duxbury Press, Boston, MA.
19. Barker, L. (2002), "A Comparison of Nine Confidence Intervals for a Poisson Parameter When the Expected Number of Events ≤ 5," The American Statistician, 56, 85-89.
20. Barndorff-Nielsen, O. (1978), Information and Exponential Families in Statistical Theory, Wiley, New York, NY.
21. Barndorff-Nielsen, O. (1982), "Exponential Families," in Encyclopedia of Statistical Sciences, Vol. 2, eds. Kotz, S. and Johnson, N.L., Wiley, New York, NY, 587-596.
22. Bartle, R.G. (1964), The Elements of Real Analysis, Wiley, New York, NY.
23. Basu, D. (1959), "The Family of Ancillary Statistics," Sankhya¯, A, 21, 247-256.
24. Becker, R.A., Chambers, J.M., and Wilks, A.R. (1988), The New S Language: a Programming Environment for Data Analysis and Graphics, Wadsworth and Brooks/Cole, Pacific Grove, CA.
25. Berger, J.O., Boukai, B., and Wang, Y. (1997), "Unified Frequentist and Bayesian Testing of a Precise Hypothesis," Statistical Science, 12, 133-160.
26. Berk, R. (1967), "Review 1922 of 'Invariance of Maximum Likelihood Estimators' by Peter W. Zehna," Mathematical Reviews, 33, 342-343.
27. Berk, R.H. (1972), "Consistency and Asymptotic Normality of MLE's for Exponential Models," The Annals of Mathematical Statistics, 43, 193-204.
28. Berry, D.A., and Lindgren, B.W. (1995), Statistics, Theory and Methods, 2nd ed., Duxbury Press, Belmont, CA.
29. Bertsekas, D.P. (1999), Nonlinear Programming, 2nd ed., Athena Scientific, Nashua, NH.
30. Besbeas, P., and Morgan, B.J.T. (2004), "Efficient and Robust Estimation for the One-Sided Stable Distribution of Index 1/2," Statistics & Probability Letters, 66, 251-257.
31. Bickel, P.J., and Doksum, K.A. (2007), Mathematical Statistics: Basic Ideas and Selected Topics, Vol. 1., 2nd ed., Updated Printing, Pearson Prentice Hall, Upper Saddle River, NJ.
32. Bierens, H.J. (2004), Introduction to the Mathematical and Statistical Foundations of Econometrics, Cambridge University Press, Cambridge, UK.
33. Billingsley, P. (1995), Probability and Measure, 3rd ed., Wiley, New York, NY.
34. Birkes, D. (1990), "Generalized Likelihood Ratio Test and Uniformly Most Powerful Tests," The American Statistician, 44, 163-166.
35. Bolstad, W.M. (2004, 2007), Introduction to Bayesian Statistics, 1st and 2nd ed., Wiley, Hoboken, NJ.
36. Boos, D.D., and Hughes-Oliver, J.M. (1998), "Applications of Basu's Theorem," The American Statistician, 52, 218-221.
37. Bowman, K.O., and Shenton, L.R. (1988), Properties of Estimators for the Gamma Distribution, Marcel Dekker, New York, NY.
38. Broffitt, J.D. (1986), "Zero Correlation, Independence, and Normality," The American Statistician, 40, 276-277.
39. Brown, L.D. (1986), Fundamentals of Statistical Exponential Families with Applications in Statistical Decision Theory, Institute of Mathematical Statistics Lecture Notes - Monograph Series, IMS, Haywood, CA.
40. Brown, L.D., Cai, T.T., and DasGupta, A. (2001), "Interval Estimation for a Binomial Proportion," (with discussion), Statistical Science, 16, 101-133.
41. Brown, L.D., Cai, T.T., and DasGupta, A. (2002), "Confidence Intervals for a Binomial Proportion and Asymptotic Expansions," The Annals of Statistics, 30, 150-201.
42. Brown, L.D., Cai, T.T., and DasGupta, A. (2003), "Interval Estimation in Exponential Families," Statistica Sinica, 13, 19-49.
43. Brownstein, N., and Pensky, M. (2008), "Application of Transformations in Parametric Inference," Journal of Statistical Education, 16 (online).
44. Buckland, S.T. (1984), "Monte Carlo Confidence Intervals," Biometrics, 40, 811-817.
45. Bühler, W.J., and Sehr, J. (1987), "Some Remarks on Exponential Families," The American Statistician, 41, 279-280.
46. Buxton, L.H.D. (1920), "The Anthropology of Cyprus," The Journal of the Royal Anthropological Institute of Great Britain and Ireland, 50, 183-235.
47. Byrne, J., and Kabaila, P. (2005), "Comparison of Poisson Confidence Intervals," Communications in Statistics: Theory and Methods, 34, 545-556.
48. Cambanis, S., Huang, S., and Simons, G. (1981), "On the Theory of Elliptically Contoured Distributions," Journal of Multivariate Analysis, 11, 368-385.
49. Carlin, B.P., and Louis, T.A. (2009), Bayesian Methods for Data Analysis, 3rd ed., Chapman & Hall/CRC Press, Boca Raton, FL.
50. Casella, G., and Berger, R.L. (2002), Statistical Inference, 2nd ed., Duxbury, Belmont, CA.
51. Casella, G., and George, E.I. (1992), "Explaining the Gibbs Sampler," The American Statistician, 46, 167-174.
52. Castillo, E. (1988), Extreme Value Theory in Engineering, Academic Press, Boston, MA.
53. Chambers, J.M. (2008), Software for Data Analysis: Programming With R, Springer, New York, NY.
54. Chen, J., and Rubin, H. (1986), "Bounds for the Difference Between Median and Mean of Gamma and Poisson Distributions," Statistics & Probability Letters, 4, 281-283.
55. Chernoff, H. (1956), "Large-Sample Theory: Parametric Case," The Annals of Mathematical Statistics, 27, 1-22.
56. Chmielewski, M.A. (1981), "Elliptically Symmetric Distributions: a Review and Bibliography," International Statistical Review, 49, 67-74.
57. Cohen, A.C., and Whitten, B.J. (1988), Parameter Estimation in Reliability and Life Span Models, Marcel Dekker, New York, NY.
58. Consonni, G., and Veronese, P. (1992), "Conjugate Priors for Exponential Families Having Quadratic Variance Functions," Journal of the American Statistical Association, 87, 1123-1127.
59. Cook, R.D. (1998), Regression Graphics: Ideas for Studying Regression Through Graphics, Wiley, New York, NY.
60. Cooke, D., Craven, A.H., and Clarke, G.M. (1982), Basic Statistical Computing, Edward Arnold Publishers, London, UK.
61. Cox, C. (1984), "An Elementary Introduction to Maximum Likelihood Estimations for Multinomial Models: Birch's Theorem and the Delta Method," The American Statistician, 38, 283-287.
62. Cox, D.R., and Hinkley, D.V. (1974), Theoretical Statistics, Chapman and Hall, London, UK.
63. Cramér, H. (1946), Mathematical Methods of Statistics, Princeton University Press, Princeton, NJ.
64. Crawley, M.J. (2005), Statistics: an Introduction Using R, Wiley, Hoboken, NJ.
65. Crawley, M.J. (2013), The R Book, 2nd ed., Wiley, Hoboken, NJ.
66. Croux, C., Dehon, C., Rousseeuw, P.J., and Van Aelst, S. (2001), "Robust Estimation of the Conditional Median Function at Elliptical Models," Statistics & Probability Letters, 51, 361-368.
67. Dalgaard, P. (2002), Introductory Statistics with R, Springer, New York, NY.
68. DasGupta, A. (2008), Asymptotic Theory of Statistics and Probability, Springer, New York, NY.
69. Datta, G.S. (2005), "An Alternative Derivation of the Distributions of the Maximum Likelihood Estimators of the Parameters in an Inverse Gaussian Distribution," Biometrika, 92, 975-977.
70. Datta, G.S., and Sarker, S.K. (2008), "A General Proof of Some Known Results of Independence Between Two Statistics," The American Statistician, 62, 141-143.
71. David, H.A. (1981), Order Statistics, Wiley, New York, NY.
72. David, H.A. (1995), "First (?) Occurrences of Common Terms in Mathematical Statistics," The American Statistician, 49, 121-133.
73. David, H.A. (2006-7), "First (?) Occurrences of Common Terms in Statistics and Probability," Publications and Preprint Series, Iowa State University, (www.stat.iastate.edu/preprint/hadavid.html).
74. Davidson, J. (1994), Stochastic Limit Theory, Oxford University Press, Oxford, UK.
75. deCani, J.S., and Stine, R.A. (1986), "A Note on Deriving the Information Matrix for a Logistic Distribution," The American Statistician, 40, 220-222.
76. DeGroot, M.H., and Schervish, M.J. (2012), Probability and Statistics, 4th ed., Pearson Education, Boston, MA.
77. Dekking, F.M., Kraaikamp, C., Lopuhaä, H.P., and Meester, L.E. (2005), A Modern Introduction to Probability and Statistics Understanding Why and How, Springer, London, UK.
78. Dudley, R.M. (2002), Real Analysis and Probability, Cambridge University Press, Cambridge, UK.
79. Durrett, R. (1995), Probability, Theory and Examples, 2nd ed., Duxbury Press, Belmont, CA.
80. Eaton, M.L. (1986), "A Characterization of Spherical Distributions," Journal of Multivariate Analysis, 20, 272-276.
81. Efron, B., and Tibshirani, R.J. (1993), An Introduction to the Bootstrap, Chapman & Hall/CRC, New York, NY.
82. Fang, K.T., and Anderson, T.W. (eds.) (1990), Statistical Inference in Elliptically Contoured and Related Distributions, Allerton Press, New York, NY.
83. Fang, K.T., Kotz, S., and Ng, K.W. (1990), Symmetric Multivariate and Related Distributions, Chapman & Hall, New York, NY.
84. Feller, W. (1957), An Introduction to Probability Theory and Its Applications, Vol. I, 2nd ed., Wiley, New York, NY.
85. Feller, W. (1971), An Introduction to Probability Theory and Its Applications, Vol. II, 2nd ed., Wiley, New York, NY.
86. Ferguson, T.S. (1967), Mathematical Statistics: a Decision Theoretic Approach, Academic Press, New York, NY.
87. Ferguson, T.S. (1996), A Course in Large Sample Theory, Chapman & Hall, New York, NY.
88. Fisher, R.A. (1922), "On the Mathematical Foundations of Theoretical Statistics," Philosophical Transactions of the Royal Statistical Society A, 222, 309-368.
89. Forbes, C., Evans, M., Hastings, N., and Peacock, B. (2011), Statistical Distributions, 4th ed., Wiley, Hoboken, NJ.
90. Frey, J. (2013), "Data-Driven Nonparametric Prediction Intervals," Journal of Statistical Planning and Inference, 143, 1039-1048.
91. Gabel, R.A., and Roberts, R.A. (1980), Signals and Linear Systems, Wiley, New York, NY.
92. Garwood, F. (1936), "Fiducial Limits for the Poisson Distribution," Bio-metrika, 28, 437-442.
93. Gathwaite, P.H., Jolliffe, I.T., and Jones, B. (2002), Statistical Inference, 2nd ed., Oxford University Press, Oxford, UK.
94. Gaughan, E.D. (2009), Introduction to Analysis, 5th ed., American Mathematical Society, Providence, RI.
95. Greenwood, J.A., and Durand, D. (1960), "Aids for Fitting the Gamma Distribution by Maximum Likelihood," Technometrics, 2, 55-56.
96. Grosh, D. (1989), A Primer of Reliability Theory, Wiley, New York, NY.
97. Grübel, R. (1988), "The Length of the Shorth," The Annals of Statistics, 16, 619-628.
98. Guenther, W.C. (1969), "Shortest Confidence Intervals," The American Statistician, 23, 22-25.
99. Guenther, W.C. (1978), "Some Easily Found Minimum Variance Unbiased Estimators," The American Statistician, 32, 29-33.
100. Gupta, A.K., and Varga, T. (1993), Elliptically Contoured Models in Statistics, Kluwar Academic Publishers, Dordrecht, The Netherlands.
101. Hahn, G.J., and Meeker, M.Q. (1991), Statistical Intervals: a Guide for Practitioners, Wiley, Hoboken, NJ.
102. Halmos, P.R., and Savage, L.J. (1949), "Applications of the Radon-Nikodym Theorem to the Theory of Sufficient Statistics," The Annals of Mathematical Statistics, 20, 225-241.
103. Hamza, K. (1995), "The Smallest Uniform Upper Bound on the Distance Between the Mean and the Median of the Binomial and Poisson Distributions," Statistics & Probability Letters, 23, 21-25.
104. Hanley, J.A., Julien, M., Moodie, E.E.M. (2008), "t Distribution Centennial: Student's z, t, and s: What if Gosset had R?" The American Statistician, 62, 64-69.
105. Headrick, T.C., Pant, M.D., and Sheng, Y. (2010), "On Simulating Univariate and Multivariate Burr Type III and Type XII Distributions," Applied Mathematical Sciences, 4, 2207-2240.
106. Hoel, P.G., Port, S.C., and Stone, C.J. (1971), Introduction to Probability Theory, Houghton Mifflin, Boston, MA.
107. Hogg, R.V. (1991), "Statistical Education: Improvements are Badly Needed," The American Statistician, 45, 342-343.
108. Hogg, R.V., McKean, J.W., and Craig, A.T. (2012), Introduction to Mathematical Statistics, 7th ed., Pearson Education, Boston, MA.
109. Hogg, R.V., and Tanis, E.A. (2005), Probability and Statistical Inference, 7th ed., Prentice Hall, Englewood Cliffs, NJ.
110. Hudson, H.M. (1978), "A Natural Identity for Exponential Families with Applications in Multiparameter Estimation," The Annals of Statistics, 6, 473-484
111. Hyndman, R.J. (1996), "Computing and Graphing Highest Density Regions," The American Statistician, 50, 120-126.
112. Jiang, J. (2010), Large Sample Techniques for Statistics, Springer, New York, NY.
113. Jöckel, K.H. (1986), "Finite Sample Properties and Asymptotic Efficiency of Monte Carlo Tests," The Annals of Statistics, 14, 336-347.
114. Johanson, S. (1979), Introduction to the Theory of Regular Exponential Families, Institute of Mathematical Statistics, University of Copenhagen, Copenhagen, Denmark.
115. Johnson, M.E. (1987), Multivariate Statistical Simulation, Wiley, New York, NY.
116. Johnson, N.L., and Kotz, S. (1970ab), Distributions in Statistics: Continuous Univariate Distributions, Vol. 1-2, Houghton Mifflin Company, Boston, MA.
117. Johnson, N.L., and Kotz, S. (1972), Distributions in Statistics: Continuous Multivariate Distributions, Wiley, New York, NY.
118. Johnson, N.L., Kotz, S., and Kemp, A.K. (1992), Distributions in Statistics: Univariate Discrete Distributions, 2nd ed., Wiley, New York, NY.
119. Johnson, R.A., Ladella, J., and Liu, S.T. (1979), "Differential Relations, in the Original Parameters, Which Determine the First Two Moments of the Multi-parameter Exponential Family," The Annals of Statistics, 7, 232-235.
120. Johnson, R.A., and Wichern, D.W. (1988), Applied Multivariate Statistical Analysis, 2nd ed., Prentice Hall, Englewood Cliffs, NJ.
121. Joshi, V.M. (1976), "On the Attainment of the Cramér-Rao Lower Bound," The Annals of Statistics, 4, 998-1002.
122. Kalbfleisch, J.D., and Prentice, R.L. (1980), The Statistical Analysis of Failure Time Data, Wiley, New York, NY.
123. Karakostas, K.X. (1985), "On Minimum Variance Estimators," The American Statistician, 39, 303-305.
124. Keener, R.W. (2010), Theoretical Statistics: Topics for a Core Course, Springer, New York, NY.
125. Kelker, D. (1970), "Distribution Theory of Spherical Distributions and a Location Scale Parameter Generalization," Sankhya¯, A, 32, 419-430.
126. Kennedy, W.J., and Gentle, J.E. (1980), Statistical Computing, Marcel Dekker, New York, NY.
127. Kiefer, J. (1961), "On Large Deviations of the Empiric D. F. of a Vector of Chance Variables and a Law of Iterated Logarithm," Pacific Journal of Mathematics, 11, 649-660.
128. Knight, K. (2000), Mathematical Statistics, Chapman & Hall/CRC, Boca Raton, FL.
129. Koehn, U., and Thomas, D.L. (1975), "On Statistics Independent of a Sufficient Statistic: Basu's Lemma," The American Statistician, 29, 40-42.
130. Kotz, S., and Johnson, N.L. (editors) (1982ab), Encyclopedia of Statistical Sciences, Vol. 1-2, Wiley, New York, NY.
131. Kotz, S., and Johnson, N.L. (editors) (1983ab), Encyclopedia of Statistical Sciences, Vol. 3-4, Wiley, New York, NY.
132. Kotz, S., and Johnson, N.L. (editors) (1985ab), Encyclopedia of Statistical Sciences, Vol. 5-6, Wiley, New York, NY.
133. Kotz, S., and Johnson, N.L. (editors) (1986), Encyclopedia of Statistical Sciences, Vol. 7, Wiley, New York, NY.
134. Kotz, S., and Johnson, N.L. (editors) (1988ab), Encyclopedia of Statistical Sciences, Vol. 8-9, Wiley, New York, NY.
135. Kotz, S., and van Dorp, J.R. (2004), Beyond Beta: Other Continuous Families of Distributions with Bounded Support and Applications, World Scientific, Singapore.
136. Kowalski, C.J. (1973), "Non-Normal Bivariate Distributions with Normal Marginals," The American Statistician, 27, 103-106.
137. Krishnamoorthy, K., and Mathew, T. (2009), Statistical Tolerance Regions: Theory, Applications and Computation, Wiley, Hoboken, NJ.
138. Lancaster, H.O. (1959), "Zero Correlation and Independence," Australian Journal of Statistics, 21, 53-56.
139. Larsen, R.J., and Marx, M.L. (2011), Introduction to Mathematical Statistics and Its Applications, 5th ed., Prentice Hall, Upper Saddle River, NJ.
140. Lavine, M., and Schervish, M.J. (1999), "Bayes Factors: What They Are and What They Are Not," The American Statistician, 53, 119-122.
141. Leemis, L.M., and McQueston, J.T. (2008), "Univariate Distribution Relationships," The American Statistician, 62, 45-53.
142. Lehmann, E.L. (1980), "Efficient Likelihood Estimators," The American Statistician, 34, 233-235.
143. Lehmann, E.L. (1983), Theory of Point Estimation, Wiley, New York, NY.
144. Lehmann, E.L. (1986), Testing Statistical Hypotheses, 2nd ed., Wiley, New York, NY.
145. Lehmann, E.L. (1999), Elements of Large-Sample Theory, Springer, New York, NY.
146. Lehmann, E.L., and Casella, G. (1998), Theory of Point Estimation, 2nd ed., Springer, New York, NY.
147. Lehmann, E.L., and Romano, J.P. (2005), Testing Statistical Hypotheses, 3rd ed., Springer, New York, NY.
148. Lehmann, E.L., and Scheffé, H. (1950), "Completeness, Similar Regions, and Unbiased Estimation," Sankhya¯, 10, 305-340.
149. Levy, M.S. (1985), "A Note on Nonunique MLE's and Sufficient Statistics", The American Statistician, 39, 66.
150. Liero, H., and Zwanzig, S. (2012), Introduction to the Theory of Statistical Inference, CRC Press, Boca Raton, FL.
151. Lindgren, B.W. (1993), Statistical Theory, 4th ed., Chapman & Hall/CRC, Boca Raton, FL.
152. Lindley, D.V. (1972), Bayesian Statistics: a Review, SIAM, Philadelphia, PA.
153. Lindsey, J.K. (1996), Parametric Statistical Inference, Oxford University Press, Oxford, UK.
154. Lindsey, J.K. (2004), Introduction to Applied Statistics: a Modelling Approach, 2nd ed., Oxford University Press, Oxford, UK.
155. Mahmoud, M.A.W., Sultan, K.S., and Amer, S.M. (2003), "Order Statistics for Inverse Weibull Distributions and Characterizations," Metron, LXI, 389-402.
156. Mann, H. B., and Wald, A. (1943), "On Stochastic Limit and Order Relationships," The Annals of Mathematical Statistics, 14, 217-226.
157. Mann, N.R., Schafer, R.E., and Singpurwalla, N.D. (1974), Methods for Statistical Analysis of Reliability and Life Data, Wiley, New York, NY.
158. Marden, J.I. (2012), Mathematical Statistics, Old School, course notes from (http://istics.net/pdfs/mathstat.pdf).
159. Mardia, K.V., Kent, J.T., and Bibby, J.M. (1979), Multivariate Analysis, Academic Press, London, UK.
160. Marsden, J.E., and Hoffman, M.J. (1993), Elementary Classical Analysis, 2nd ed., W.H. Freeman, New York, NY.
161. Marshall, A.W., and Olkin, I. (2007), Life Distributions, Springer, New York, NY.
162. Massart, P. (1990), "The Tight Constant in the Dvoretzky-Kiefer-Wolfo-Witcz Inequality," The Annals of Probability, 3, 1269-1283.
163. Math Soft (1999a), S-Plus 2000 User's Guide, Data Analysis Products Division, Math Soft, Seattle, WA.
164. Math Soft (1999b), S-Plus 2000 Guide to Statistics, Vol. 2, Data Analysis Products Division, Math Soft, Seattle, WA.
165. McCulloch, R.E. (1988), "Information and the Likelihood Function in Exponential Families," The American Statistician, 42, 73-75.
166. Meeker, W.Q., and Escobar, L.A. (1998), Statistical Methods for Reliability Data, Wiley, New York, NY.
167. Melnick, E.L., and Tenebien, A. (1982), "Misspecifications of the Normal Distribution," The American Statistician, 36, 372-373.
168. Mood, A.M., Graybill, F.A., and Boes, D.C. (1974), Introduction to the Theory of Statistics, 3rd ed., McGraw-Hill, New York, NY.
169. Moore, D.S. (1971), "Maximum Likelihood and Sufficient Statistics," The American Mathematical Monthly, 78, 50-52.
170. Moore, D.S. (2007), The Basic Practice of Statistics, 4th ed., W.H. Freeman, New York, NY.
171. Morris, C.N. (1982), "Natural Exponential Families with Quadratic Variance Functions," The Annals of Statistics, 10, 65-80.
172. Morris, C.N. (1983), "Natural Exponential Families with Quadratic Variance Functions: Statistical Theory," The Annals of Statistics, 11, 515-529.
173. Muirhead, R.J. (1982), Aspects of Multivariate Statistical Theory, Wiley, New York, NY.
174. Mukhopadhyay, N. (2000), Probability and Statistical Inference, Marcel Dekker, New York, NY.
175. Mukhopadhyay, N. (2006), Introductory Statistical Inference, Chapman & Hall/CRC, Boca Raton, FL.
176. Olive, D.J. (2004), "Does the MLE Maximize the Likelihood?" Unpublished Document, see (http://lagrange.math.siu.edu/Olive/infer.htm).
177. Olive, D.J. (2007), "A Simple Limit Theorem for Exponential Families," Unpublished Document, see (http://lagrange.math.siu.edu/Olive/infer.htm).
178. Olive, D.J. (2008), "Using Exponential Families in an Inference Course," Unpublished Document, see (http://lagrange.math.siu.edu/Olive/infer.htm).
179. Olive, D.J. (2008b), Applied Robust Statistics, Unpublished Online Text, see (http://lagrange.math.siu.edu/Olive/ol-bookp.htm).
180. Olive, D.J. (2013), "Asymptotically Optimal Regression Prediction Intervals and Prediction Regions for Multivariate Data," International Journal of Statistics and Probability, 2, 90-100.
181. O'Reilly, F., and Rueda, R. (2007), "Fiducial Inferences for the Truncated Exponential Distribution," Communications in Statistics: Theory and Methods, 36, 2207-2212.
182. Pal, N., and Berry, J.C. (1992), "On Invariance and Maximum Likelihood Estimation," The American Statistician, 46, 209-212.
183. Panjer, H.H. (1969), "On the Decomposition of Moments by Conditional Moments," The American Statistician, 23, 170-171.
184. Parzen, E. (1960), Modern Probability Theory and Its Applications, Wiley, New York, NY.
185. Patel, J.K., Kapadia C.H., and Owen, D.B. (1976), Handbook of Statistical Distributions, Marcel Dekker, New York, NY.
186. Pawitan, Y. (2001), In All Likelihood: Statistical Modelling and Inference Using Likelihood, Oxford University Press, Oxford, UK.
187. Peressini, A.L., Sullivan, F.E., and Uhl, J.J. (1988), The Mathematics of Nonlinear Programming, Springer, New York, NY.
188. Perlman, M.D. (1972), "Maximum Likelihood-an Introduction," Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability, 1, 263-281.
189. Pewsey, A. (2002), "Large-Sample Inference for the Half-Normal Distribution," Communications in Statistics: Theory and Methods, 31, 1045-1054.
190. Pfanzagl, J. (1968), "A Characterization of the One Parameter Exponential Family by the Existence of Uniformly Most Powerful Tests," Sankhya¯, A, 30, 147-156.
191. Pfanzagl, J. (1993), "Sequences of Optimal Unbiased Estimators Need Not be Asymptotically Optimal," Scandinavian Journal of Statistics, 20, 73-76.
192. Pires, A.M., and Amado, C. (2008), "Interval Estimators for a Binomial Proportion: Comparison of Twenty Methods," REVSTAT-Statistical Journal, 6, 165-197.
193. Polansky, A.M. (2011), Introduction to Statistical Limit Theory, CRC Press, Boca Raton, FL.
194. Poor, H.V. (1994), An Introduction to Signal Detection and Estimation, 2nd ed., Springer, New York, NY.
195. Portnoy, S. (1977), "Asymptotic Efficiency of Minimum Variance Unbiased Estimators," The Annals of Statistics, 5, 522-529.
196. Pourahmadi, M. (1995), "Ratio of Successive Probabilities, Moments and Convergence of (Negative) Binomial to Poisson Distribution," Unpublished Manuscript.
197. Pratt, J.W. (1959), "On a General Concept of 'in Probability'," The Annals of Mathematical Statistics, 30, 549-558.
198. Pratt, J.W. (1968), "A Normal Approximation for Binomial, F, Beta, and Other Common, Related Tail Probabilities, II," Journal of the American Statistical Association, 63, 1457-1483.
199. Press, S.J. (2005), Applied Multivariate Analysis: Using Bayesian and Frequentist Methods of Inference, 2nd ed., Dover, New York, NY.
200. Rahman, M.S., and Gupta, R.P. (1993), "Family of Transformed Chi-Square Distributions," Communications in Statistics: Theory and Methods, 22, 135-146.
201. Rao, C.R. (1965, 1973), Linear Statistical Inference and Its Applications, 1st and 2nd ed., Wiley, New York, NY.
202. Resnick, S. (1999), A Probability Path, Birkhäuser, Boston, MA.
203. Rice, J. (1988), Mathematical Statistics and Data Analysis, Wadsworth, Belmont, CA.
204. Rice, J. (2006), Mathematical Statistics and Data Analysis, 3rd ed., Dux-bury, Belmont, CA.
205. Robert, C.P., and Casella, G. (2010), Monte Carlo Statistical Methods, Springer, New York, NY.
206. Robinson, J. (1988), "Discussion of 'Theoretical Comparison of Bootstrap Confidence Intervals' by P. Hall," The Annals of Statistics, 16, 962-965.
207. Rohatgi, V.K. (1976), An Introduction to Probability Theory and Mathematical Statistics, Wiley, New York, NY.
208. Rohatgi, V.K. (1984), Statistical Inference, Wiley, New York, NY.
209. Rohatgi, V.K., and Ehsanes Saleh, A.K.M.D. (2001), An Introduction to Probability and Statistics, 2nd ed., Wiley, NY.
210. Romano, J.P., and Siegel, A.F. (1986), Counterexamples in Probability and Statistics, Wadsworth, Belmont, CA.
211. Rosenlicht, M. (1985), Introduction to Analysis, Dover, New York, NY.
212. Ross, K.A. (1980), Elementary Analysis: The Theory of Calculus, Springer, New York, NY.
213. Ross, S. (2009), A First Course in Probability, 8th ed., Prentice Hall, Upper Saddle River, NJ.
214. Roussas, G. (1997), A Course in Mathematical Statistics, 2nd ed., Academic Press, San Diego, CA.
215. Rousseeuw, P.J., and Croux, C. (1993), "Alternatives to the Median Absolute Deviation," Journal of the American Statistical Association, 88, 1273-1283.
216. Rudin, W. (1964), Principles of Mathematical Analysis, 2nd ed., McGraw Hill, New York, NY.
217. Sampson, A., and Spencer, B. (1976), "Sufficiency, Minimal Sufficiency, and the Lack Thereof," The American Statistician, 30, 34-35.
218. Sankaran, P.G., and Gupta, R.D. (2005), "A General Class of Distributions: Properties and Applications," Communications in Statistics: Theory and Methods, 34, 2089-2096.
219. Savage, L.J. (1976), "On Rereading R.A. Fisher," The Annals of Statistics, 4, 441-500.
220. Schervish, M.J. (1995), Theory of Statistics, Springer, New York, NY.
221. Schwarz, C.J., and Samanta, M. (1991), "An Inductive Proof of the Sampling Distributions for the MLE's of the Parameters in an Inverse Gaussian Distribution," The American Statistician, 45, 223-225.
222. Scott, W.F. (2007), "On the Asymptotic Distribution of the Likelihood Ratio Statistic," Communications in Statistics: Theory and Methods, 36, 273-281.
223. Searle, S.R. (1982), Matrix Algebra Useful for Statistics, Wiley, New York, NY.
224. Seber, G.A.F., and Lee, A.J. (2003), Linear Regression Analysis, 2nd ed., Wiley, New York, NY.
225. Sen, P.K., and Singer, J.M. (1993), Large Sample Methods in Statistics: an Introduction with Applications, Chapman & Hall, New York, NY.
226. Sen, P.K., Singer, J.M., and Pedrosa De Lima, A.C. (2010), From Finite Sample to Asymptotic Methods in Statistics, Cambridge University Press, New York, NY.
227. Serfling, R.J. (1980), Approximation Theorems of Mathematical Statistics, Wiley, New York, NY.
228. Severini, T.A. (2005), Elements of Distribution Theory, Cambridge University Press, New York, NY.
229. Shao, J. (1989), "The Efficiency and Consistency of Approximations to the Jackknife Variance Estimators," Journal of the American Statistical Association, 84, 114-119.
230. Shao, J. (2003), Mathematical Statistics, 2nd ed., Springer, New York, NY.
231. Silvey, S.D. (1970), Statistical Inference, Penguin Books, Baltimore, MD.
232. Smith, A.F.M, and Gelfand, A.E. (1992), "Bayesian Statistics Without Tears: a Sampling-Resampling Perspective," The American Statistician, 46, 84-88.
233. Solomen, D.L. (1975), "A Note on the Non-Equivalence of the Neyman Pearson and Generalized Likelihood Ratio Tests for Testing a Simple Null Hypothesis Versus a Simple Alternative Hypothesis," The American Statistician, 29, 101-102.
234. Spanos, A. (1999), Probability Theory and Statistical Inference: Econometric Modeling with Observational Data, Cambridge University Press, Cambridge, UK.
235. Spiegel, M.R. (1975), Probability and Statistics, Shaum's Outline Series, McGraw-Hill, New York, NY.
236. Staudte, R.G., and Sheather, S.J. (1990), Robust Estimation and Testing, Wiley, New York, NY.
237. Stein, C. (1981), "Estimation of the Mean of a Multivariate Normal Distribution," The Annals of Statistics, 9, 1135-1151.
238. Stigler, S.M. (1984), "Kruskal's Proof of the Joint Distribution of X and s2," The American Statistician, 38, 134-135.
239. Stigler, S.M. (2007), "The Epic Journey of Maximum Likelihood," Statistical Science, 22, 598-620.
240. Stigler, S.M. (2008), "Karl Pearson's Theoretical Errors and the Advances They Inspired," Statistical Science, 23, 261-271.
241. Sundaram, R.K. (1996), A First Course in Optimization Theory, Cambridge University Press, Cambridge, UK.
242. Swift, M.B. (2009), "Comparison of Confidence Intervals for a Poisson Mean-Further Considerations," Communications in Statistics: Theory and Methods, 38, 748-759.
243. Tucker, A. (1984), Applied Combinatorics, 2nd ed., Wiley, New York, NY.
244. van der Vaart, A.W. (1998), Asymptotic Statistics, Cambridge University Press, Cambridge, UK.
245. Vardeman, S.B. (1992), "What About Other Intervals?," The American Statistician, 46, 193-197.
246. Venables, W.N., and Ripley, B.D. (2010), Modern Applied Statistics with S, 4th ed., Springer, New York, NY.
247. Wackerly, D.D., Mendenhall, W., and Scheaffer, R.L. (2008), Mathematical Statistics with Applications, 7th ed., Thomson Brooks/Cole, Belmont, CA.
248. Wade, W.R. (2000), Introduction to Analysis, 2nd ed., Prentice Hall, Upper Saddle River, NJ.
249. Wald, A. (1949), "Note on the Consistency of the Maximum Likelihood Estimate," The Annals of Mathematical Statistics, 20, 595-601.
250. Walpole, R.E., Myers, R.H., Myers, S.L., and Ye, K. (2006), Probability & Statistics for Engineers & Scientists, 8th ed., Prentice Hall, Upper Saddle River, NJ.
251. Wasserman, L. (2004), All of Statistics: a Concise Course in Statistical Inference, Springer, New York, NY.
252. Welch, B.L. (1937), "The Significance of the Difference Between Two Means When the Population Variances are Unequal," Biometrika, 29, 350-362.
253. Welsh, A.H. (1996), Aspects of Statistical Inference, Wiley, New York, NY.
254. White, H. (1984), Asymptotic Theory for Econometricians, Academic Press, San Diego, CA.
255. Wijsman, R.A. (1973), "On the Attainment of the Cramér-Rao Lower Bound, The Annals of Statistics, 1, 538-542.
256. Yuen, K.K. (1974), "The Two-Sample Trimmed t for Unequal Population Variances," Biometrika, 61, 165-170.
257. Zabell, S.L. (2008), "On Student's 1908 Article 'The Probable Error of a Mean'," Journal of the American Statistical Association, 103, 1-7.
258. Zacks, S. (1971), Theory of Statistical Inference, Wiley, New York, NY.
259. Zehna, P.W. (1966), "Invariance of Maximum Likelihood Estimators," The Annals of Mathematical Statistics, 37, 744.
260. Zehna, P.W. (1991), "On Proving that X and S2 are Independent," The American Statistician, 45, 121-122.