-
1
-
-
0000501656
-
Information Theory and an Extension of the Maximum Likelihood Principle
-
B. N. Petrov and F. Csaki, Budapest: Akademia Kiado
-
Akaike, H. (1973), “Information Theory and an Extension of the Maximum Likelihood Principle,” in 2nd International Symposium on Information Theory, eds. B. N. Petrov and F. Csaki, Budapest: Akademia Kiado, pp. 267–281.
-
(1973)
2nd International Symposium on Information Theory
, pp. 267-281
-
-
Akaike, H.1
-
2
-
-
0002165927
-
A Test for Normality Based on Kullback–Leibler Information
-
Arizono, I., and Ohta, H. (1989), “A Test for Normality Based on Kullback–Leibler Information,” The American Statistician, 34, 20–23.
-
(1989)
The American Statistician
, vol.34
, pp. 20-23
-
-
Arizono, I.1
Ohta, H.2
-
4
-
-
84972513393
-
“Statistics, Probability and Chaos” (with discussion)
-
Berliner, L. M. (1992), “Statistics, Probability and Chaos” (with discussion), Statistical Science, 7, 69–90.
-
(1992)
Statistical Science
, vol.7
, pp. 69-90
-
-
Berliner, L.M.1
-
6
-
-
0000626524
-
Expected Information as Expected Utility
-
Bernardo, J. M. (1979a), “Expected Information as Expected Utility,” The Annals of Statistics, 7, 686–690.
-
(1979)
The Annals of Statistics
, vol.7
, pp. 686-690
-
-
Bernardo, J.M.1
-
7
-
-
0002183088
-
“Reference Posterior Distributions for Bayesian Inference” (with discussion)
-
Ser. B
-
—— (1979b), “Reference Posterior Distributions for Bayesian Inference” (with discussion), Journal of the Royal Statistical Society, Ser. B, 41, 113–147.
-
(1979)
Journal of the Royal Statistical Society
, vol.41
, pp. 113-147
-
-
Bernardo, J.M.1
-
8
-
-
0000747992
-
On the Information-Based Measure of Covariance Complexity and Its Application to the Evaluation of Multivariate Linear Models
-
Bozdogan, H. (1990), “On the Information-Based Measure of Covariance Complexity and Its Application to the Evaluation of Multivariate Linear Models,” Communications in Statistics, Part A—Theory and Methods, 19, 221–278.
-
(1990)
Communications in Statistics, Part A—Theory and Methods
, vol.19
, pp. 221-278
-
-
Bozdogan, H.1
-
9
-
-
0345249458
-
“Information-Theoretic Approach to Actuarial Science: A Unification and Extension of Relevant Theory and Applications,” (with discussion)
-
Brockett, P. L. (1991), “Information-Theoretic Approach to Actuarial Science: A Unification and Extension of Relevant Theory and Applications,” (with discussion) Transactions of the Society of Actuaries, 43, 73–135.
-
(1991)
Transactions of the Society of Actuaries
, vol.43
, pp. 73-135
-
-
Brockett, P.L.1
-
10
-
-
8244265202
-
On the Loss of Information Through Censoring
-
Brooks, R. J. (1982), “On the Loss of Information Through Censoring,” Biometrika, 69, 137–144.
-
(1982)
Biometrika
, vol.69
, pp. 137-144
-
-
Brooks, R.J.1
-
11
-
-
36349011503
-
On the Sample Redundancy and a Test for Exponentiality
-
Chandra, M., De Wet, T., and Singpurwalla, N. D. (1982), “On the Sample Redundancy and a Test for Exponentiality,” Communications in Statistics, Part A—Theory and Methods, 11, 429–438.
-
(1982)
Communications in Statistics, Part A—Theory and Methods
, vol.11
, pp. 429-438
-
-
Chandra, M.1
De Wet, T.2
Singpurwalla, N.D.3
-
14
-
-
0001731697
-
Why Least Squares and Maximum Entropy? An Axiomatic Approach to Inference in Linear Inverse Problems
-
Csiszar, I. (1991), “Why Least Squares and Maximum Entropy? An Axiomatic Approach to Inference in Linear Inverse Problems,” The Annals of Statistics, 19, 2032–66.
-
(1991)
The Annals of Statistics
, vol.19
, pp. 2032-2066
-
-
Csiszar, I.1
-
15
-
-
0000546609
-
I-Divergence Geometry of Probability Distributions and Minimization Problems
-
—— (1975) “I-Divergence Geometry of Probability Distributions and Minimization Problems,” Annals of Probability, 3, 146–158.
-
(1975)
Annals of Probability
, vol.3
, pp. 146-158
-
-
Csiszar, I.1
-
17
-
-
0002712203
-
“Maximum Entropy and Nearly Black Object” (with discussion)
-
Ser. B
-
Donoho, D. L., Johnstone, I. M., Hoch, J. C, and Stern, A. S. (1992), “Maximum Entropy and Nearly Black Object” (with discussion), Journal of the Royal Statistical Society, Ser. B, 54, 41–81.
-
(1992)
Journal of the Royal Statistical Society
, vol.54
, pp. 41-81
-
-
Donoho, D.L.1
Johnstone, I.M.2
Hoch, J.C.3
Stern, A.S.4
-
18
-
-
84909697821
-
Entropy-Based Tests of Uniformity
-
Dudewicz, E. J., and Van Der Meulen, E. C. (1981), “Entropy-Based Tests of Uniformity,” Journal of the American Statistical Association, 76, 967–974.
-
(1981)
Journal of the American Statistical Association
, vol.76
, pp. 967-974
-
-
Dudewicz, E.J.1
Van Der Meulen, E.C.2
-
19
-
-
3042554769
-
Relative Information Loss Under Type II Censored Exponential Data
-
Ebrahimi, N., and Soofi, E. S. (1990), “Relative Information Loss Under Type II Censored Exponential Data,” Biometrika, 77, 429–35.
-
(1990)
Biometrika
, vol.77
, pp. 429-435
-
-
Ebrahimi, N.1
Soofi, E.S.2
-
20
-
-
0000918124
-
Testing Exponentiality Based on Kullback–Leibler Information
-
Ser. B
-
Ebrahimi, N., Habibullah, M., and Soofi, E. S. (1992), “Testing Exponentiality Based on Kullback–Leibler Information,” Journal of the Royal Statistical Society, Ser. B, 54, 739–748.
-
(1992)
Journal of the Royal Statistical Society
, vol.54
, pp. 739-748
-
-
Ebrahimi, N.1
Habibullah, M.2
Soofi, E.S.3
-
21
-
-
78751616624
-
Information and Sampling From Exponential Distribution
-
El-Sayyad, G. M. (1969), “Information and Sampling From Exponential Distribution,” Technometrics, 11, 4145.
-
(1969)
Technometrics
, vol.11
, pp. 4145
-
-
El-Sayyad, G.M.1
-
23
-
-
84950966010
-
Comment: Inference and Prediction in the Presence of Uncertainty and Determinism
-
Geweke, J. (1992), “Comment: Inference and Prediction in the Presence of Uncertainty and Determinism,” Statistical Science, 7, 94–101.
-
(1992)
Statistical Science
, vol.7
, pp. 94-101
-
-
Geweke, J.1
-
24
-
-
0345784083
-
Information Measures and Bayesian Hierarchical Models
-
Goel, P. K. (1983), “Information Measures and Bayesian Hierarchical Models,” Journal of the American Statistical Association, 78, 408–410.
-
(1983)
Journal of the American Statistical Association
, vol.78
, pp. 408-410
-
-
Goel, P.K.1
-
25
-
-
0042003916
-
Comparison of Experiments and Information Measures
-
Goel, P. K., and DeGroot, M. H. (1979), “Comparison of Experiments and Information Measures,” The Annals of Statistics, 7, 1066–1077.
-
(1979)
The Annals of Statistics
, vol.7
, pp. 1066-1077
-
-
Goel, P.K.1
DeGroot, M.H.2
-
28
-
-
84950947262
-
-
unpublished manuscript, University of California, Berkeley
-
Golan, A., Judge, G., and Jeffrey, P. (1993), “Recovering Information From Multinomial Response Data,” unpublished manuscript, University of California, Berkeley.
-
(1993)
Recovering Information from Multinomial Response Data
-
-
Golan, A.1
Judge, G.2
Jeffrey, P.3
-
30
-
-
0005746898
-
Adjustment by Minimum Discriminant Information
-
Haberman, S. J. (1984), “Adjustment by Minimum Discriminant Information,” The Annals of Statistics, 12, 971–988.
-
(1984)
The Annals of Statistics
, vol.12
, pp. 971-988
-
-
Haberman, S.J.1
-
31
-
-
0023587369
-
Noninformative Bayesian Priors for Large Samples Based on Shannon Information
-
New York: Institute of Electrical and Electronics Engineers
-
Hill, S. D., and Spall, J. C. (1987), “Noninformative Bayesian Priors for Large Samples Based on Shannon Information,” in Proceedings of the IEEE Conference on Decision and Control, New York: Institute of Electrical and Electronics Engineers, 1690–1693.
-
(1987)
Proceedings of the IEEE Conference on Decision and Control
, pp. 1690-1693
-
-
Hill, S.D.1
Spall, J.C.2
-
32
-
-
0020187981
-
On the Rationale of Maximum-Entropy Methods
-
Jaynes, E. T. (1982), “On the Rationale of Maximum-Entropy Methods,” Proceedings of IEEE, 70, 939–952.
-
(1982)
Proceedings of IEEE
, vol.70
, pp. 939-952
-
-
Jaynes, E.T.1
-
34
-
-
11944266539
-
Information Theory and Statistical Mechanics
-
—— (1957), “Information Theory and Statistical Mechanics,” Physical Review, 106, 620–630.
-
(1957)
Physical Review
, vol.106
, pp. 620-630
-
-
Jaynes, E.T.1
-
35
-
-
84873751778
-
An Invariant Form for the Prior Probability in Estimation Problems
-
Ser. A
-
Jeffreys, H. (1946), “An Invariant Form for the Prior Probability in Estimation Problems,” Proceedings Royal Society London, Ser. A, 186, 453–461.
-
(1946)
Proceedings Royal Society London
, vol.186
, pp. 453-461
-
-
Jeffreys, H.1
-
36
-
-
0003797830
-
The Detection of Influential Observations for Allocation, Separation, and the Determination of Probabilities in a Bayesian Framework
-
Johnson, W. (1987), “The Detection of Influential Observations for Allocation, Separation, and the Determination of Probabilities in a Bayesian Framework,” Journal of Business & Economic Statistics, 5, 369–381.
-
(1987)
Journal of Business & Economic Statistics
, vol.5
, pp. 369-381
-
-
Johnson, W.1
-
37
-
-
0039784605
-
Assessing the Predictive Influence of Observations
-
Kallianpur, Krishnaiah, and Ghosh, Amsterdam: North-Holland
-
Johnson, W., and Geisser, S. (1982), “Assessing the Predictive Influence of Observations,” in Essays in Honor of C. R. Rao, eds. Kallianpur, Krishnaiah, and Ghosh, Amsterdam: North-Holland.
-
(1982)
Essays in Honor of C. R. Rao
-
-
Johnson, W.1
Geisser, S.2
-
38
-
-
0013121929
-
A Predictive View of the Detection and Characterization of Influential Observations in Regression Analysis
-
—— (1983), “A Predictive View of the Detection and Characterization of Influential Observations in Regression Analysis,” Journal of the American Statistical Association, 78, 137–144.
-
(1983)
Journal of the American Statistical Association
, vol.78
, pp. 137-144
-
-
Johnson, W.1
Geisser, S.2
-
40
-
-
0004707958
-
Relative Importance by Averaging Over Orderings
-
Kruskal, W. (1987), “Relative Importance by Averaging Over Orderings,” The American Statistician, 41, 6–10.
-
(1987)
The American Statistician
, vol.41
, pp. 6-10
-
-
Kruskal, W.1
-
42
-
-
0001927585
-
On Information and Sufficiency
-
Kullback, S., and Leibler, R. A. (1951), “On Information and Sufficiency,” The Annals of Mathematical Statistics, 22, 79–86.
-
(1951)
The Annals of Mathematical Statistics
, vol.22
, pp. 79-86
-
-
Kullback, S.1
Leibler, R.A.2
-
43
-
-
0001249987
-
On a Measure of the Information Provided by an Experiment
-
Lindley, D. V. (1956), “On a Measure of the Information Provided by an Experiment,” The Annals of Mathematical Statistics, 27, 986–1005.
-
(1956)
The Annals of Mathematical Statistics
, vol.27
, pp. 986-1005
-
-
Lindley, D.V.1
-
44
-
-
0037580073
-
The Use of Prior Probability Distributions in Statistical Inference and Decision
-
—— (1961), “The Use of Prior Probability Distributions in Statistical Inference and Decision,” Proceedings of the Fourth Berkeley Symposium, 1, 436–468.
-
(1961)
Proceedings of the Fourth Berkeley Symposium
, vol.1
, pp. 436-468
-
-
Lindley, D.V.1
-
45
-
-
84950938400
-
A Note on the Geometry of Kullback-Leibler Information Numbers
-
Loh, W. (1985), “A Note on the Geometry of Kullback-Leibler Information Numbers,” Communications in Statistics, Part A—Theory and Methods, 14, 895–904.
-
(1985)
Communications in Statistics, Part A—Theory and Methods
, vol.14
, pp. 895-904
-
-
Loh, W.1
-
46
-
-
0347204027
-
Information Diagnostics for Bayesian Reliability Analysis
-
Mazzuchi, T. A., Soofi, E. S., and Soyer, R. (1993), “Information Diagnostics for Bayesian Reliability Analysis,” Proceedings of the Section on Bayesian Statistical Science of the American Statistical Association, pp. 173–178.
-
(1993)
Proceedings of the Section on Bayesian Statistical Science of the American Statistical Association
, pp. 173-178
-
-
Mazzuchi, T.A.1
Soofi, E.S.2
Soyer, R.3
-
48
-
-
0000208683
-
“Stochastic Complexity” (with discussion)
-
Ser. B
-
Rissanen, J. (1987), “Stochastic Complexity” (with discussion), Journal of the Royal Statistical Society, Ser. B, 49, 223–239.
-
(1987)
Journal of the Royal Statistical Society
, vol.49
, pp. 223-239
-
-
Rissanen, J.1
-
49
-
-
0000318553
-
Stochastic Complexity and Modeling
-
—— (1986), “Stochastic Complexity and Modeling,” The Annals of Statistics, 14, 1080–1100.
-
(1986)
The Annals of Statistics
, vol.14
, pp. 1080-1100
-
-
Rissanen, J.1
-
51
-
-
38249002533
-
Maximum Entropy Estimation of Density and Regression Functions
-
Ryu, H. K. (1993), “Maximum Entropy Estimation of Density and Regression Functions,” Journal of Econometrics, 56, 397–440.
-
(1993)
Journal of Econometrics
, vol.56
, pp. 397-440
-
-
Ryu, H.K.1
-
52
-
-
0000817912
-
Information Criteria for Discriminating Among Alternative Regression Models
-
Sawa, T. (1978), “Information Criteria for Discriminating Among Alternative Regression Models Econometrica, 46, 1273–1292.
-
(1978)
Econometrica
, vol.46
, pp. 1273-1292
-
-
Sawa, T.1
-
53
-
-
84940644968
-
A Mathematical Theory of Communication
-
Shannon, C. E. (1948), “A Mathematical Theory of Communication,” Bell System Technical Journal, 27, 379–423.
-
(1948)
Bell System Technical Journal
, vol.27
, pp. 379-423
-
-
Shannon, C.E.1
-
54
-
-
0018877134
-
Axiomatic Derivation of the Principle of Maximum Entropy and the Principle of Minimum Cross-Entropy
-
Shore, J. E., and Johnson, R. W. (1980), “Axiomatic Derivation of the Principle of Maximum Entropy and the Principle of Minimum Cross-Entropy,” IEEE Transactions on Information Theory, IT-26, 26–37.
-
(1980)
IEEE Transactions on Information Theory
, vol.IT-26
, pp. 26-37
-
-
Shore, J.E.1
Johnson, R.W.2
-
55
-
-
78751639257
-
Principal Component Regression Under Exchangeability
-
Soofi, E. S. (1988), “Principal Component Regression Under Exchangeability,” Communications in Statistics, Part A—Theory and Methods, 17, 1717–1733.
-
(1988)
Communications in Statistics, Part A—Theory and Methods
, vol.17
, pp. 1717-1733
-
-
Soofi, E.S.1
-
56
-
-
38249018835
-
Effects of Collinearity on Information About Regression Coefficients
-
—— (1990), “Effects of Collinearity on Information About Regression Coefficients,” Journal of Econometrics, 43, 255–274.
-
(1990)
Journal of Econometrics
, vol.43
, pp. 255-274
-
-
Soofi, E.S.1
-
57
-
-
0006583614
-
A Generalizable Formulation of Conditional Logit With Diagnostics
-
—— (1992), “A Generalizable Formulation of Conditional Logit with Diagnostics,” Journal of the American Statistical Association, 87, 412–816.
-
(1992)
Journal of the American Statistical Association
, vol.87
, pp. 412-816
-
-
Soofi, E.S.1
-
58
-
-
84950942972
-
The Information Theory and Bayesian Statistics
-
D. Berry, K. Chaloner, and J. Geweke, New York: John Wiley
-
—— (1995), “The Information Theory and Bayesian Statistics,” in Bayesian Statistics and Applications: A Tribute to Arnold Zellner, eds. D. Berry, K. Chaloner, and J. Geweke, New York: John Wiley.
-
(1995)
Bayesian Statistics and Applications: A Tribute to Arnold Zellner
-
-
Soofi, E.S.1
-
59
-
-
21844481917
-
Information Distinguishability With Application to Analysis of Failure Data
-
submitted to
-
Soofi, E., Ebrahimi, N., and Habibullah, M. (1995), “Information Distinguishability with Application to Analysis of Failure Data,” submitted to Journal of the American Statistical Association.
-
(1995)
Journal of the American Statistical Association
-
-
Soofi, E.1
Ebrahimi, N.2
Habibullah, M.3
-
60
-
-
34548045205
-
Minimum Discrimination Information Estimator of the Mean With Known Coefficient of Variation
-
Soofi, E. S., and Gokhale, D. V. (1991), “Minimum Discrimination Information Estimator of the Mean With Known Coefficient of Variation,” Computational Statistics and Data Analysis, 11, 165–177.
-
(1991)
Computational Statistics and Data Analysis
, vol.11
, pp. 165-177
-
-
Soofi, E.S.1
Gokhale, D.V.2
-
61
-
-
0025432123
-
Least-Informative Bayesian Prior Distributions for Finite Samples Based on Information Theory
-
Spall, J. C., and Hill, S. D. (1990), “Least-Informative Bayesian Prior Distributions for Finite Samples Based on Information Theory,” IEEE Transactions on Automatic Control, 35, 580–583.
-
(1990)
IEEE Transactions on Automatic Control
, vol.35
, pp. 580-583
-
-
Spall, J.C.1
Hill, S.D.2
-
62
-
-
0001858516
-
Application of a Measure of Information to the Design and Comparison of Regression Experiments
-
Stone, M. (1959), “Application of a Measure of Information to the Design and Comparison of Regression Experiments,” The Annals of Mathematical Statistics, 30, 55–70.
-
(1959)
The Annals of Mathematical Statistics
, vol.30
, pp. 55-70
-
-
Stone, M.1
-
63
-
-
8244234263
-
On the Relative Efficiency of Grouped and Censored Survival Data
-
Turrero, A. (1989), “On the Relative Efficiency of Grouped and Censored Survival Data,” Biometrika, 76, 125–131.
-
(1989)
Biometrika
, vol.76
, pp. 125-131
-
-
Turrero, A.1
-
64
-
-
0002260546
-
A Test for Normality Based on Sample Entropy
-
Ser. B
-
Vasicek, O. (1976), “A Test for Normality Based on Sample Entropy,” Journal of the Royal Statistical Society, Ser. B, 38, 54–59.
-
(1976)
Journal of the Royal Statistical Society
, vol.38
, pp. 54-59
-
-
Vasicek, O.1
-
67
-
-
84874386477
-
On the Information Criterion for Selecting Regressors
-
Young, A. S. (1987), “On the Information Criterion for Selecting Regressors,” Metrika, 34, 185–194.
-
(1987)
Metrika
, vol.34
, pp. 185-194
-
-
Young, A.S.1
-
69
-
-
0002817906
-
On Assessing Prior Distributions and Bayesian Regression Analysis With g-Prior Distributions
-
P. Goel and A. Zellner, Amsterdam: North-Holland
-
—— (1982), “On Assessing Prior Distributions and Bayesian Regression Analysis With g-Prior Distributions,” in Bayesian Decision Techniques: Essays in Honor of Bruno de Finetti, eds. P. Goel and A. Zellner, Amsterdam: North-Holland, pp. 233–243.
-
(1982)
Bayesian Decision Techniques: Essays in Honor of Bruno De Finetti
, pp. 233-243
-
-
Zellner, A.1
-
71
-
-
84950953580
-
-
invited paper presented at a symposium in honor of E. T. Jaynes, H. G. B. Alexander Research Foundation, Graduate School of Business, University of Chicago
-
Zellner, A., and Min, C. (1992), “Bayesian Analysis, Model Selection and Prediction,” invited paper presented at a symposium in honor of E. T. Jaynes, H. G. B. Alexander Research Foundation, Graduate School of Business, University of Chicago.
-
(1992)
Bayesian Analysis, Model Selection and Prediction
-
-
Zellner, A.1
Min, C.2
|