-
1
-
-
0012416859
-
The construction of uniformly minimum variance unbiased estimators for exponential distributions
-
MR0285064
-
Abbey, J.L. and David, H.T. (1970). The construction of uniformly minimum variance unbiased estimators for exponential distributions. Ann. Math. Statist. 41 1217-1222. MR0285064
-
(1970)
Ann. Math. Statist.
, vol.41
, pp. 1217-1222
-
-
Abbey, J.L.1
David, H.T.2
-
2
-
-
42249111232
-
The discrete Mohr and Noll inequality with applications to variance bounds
-
MR2428867
-
Afendras, G., Papadatos, N. and Papathanasiou, V. (2007). The discrete Mohr and Noll inequality with applications to variance bounds. Sankhyā 69 162-189. MR2428867
-
(2007)
Sankhyā
, vol.69
, pp. 162-189
-
-
Afendras, G.1
Papadatos, N.2
Papathanasiou, V.3
-
4
-
-
0030607383
-
General characterization theorems based on versions of the Chernoff inequality and the Cox representation
-
DOI 10.1016/0378-3758(95)00191-3
-
Alharbi, A.A. and Shanbhag, D.N. (1996). General characterization theorems based on versions of the Chernoff inequality and the Cox representation. J. Statist. Plann. Inference 55 139-150. MR1423963 (Pubitemid 126167208)
-
(1996)
Journal of Statistical Planning and Inference
, vol.55
, Issue.2
, pp. 139-150
-
-
Alharbi, A.A.1
Shanbhag, D.N.2
-
5
-
-
16244404689
-
Multiplicative renormalization and generating functions I
-
Asai, N., Kubo, I. and Kuo, H. (2003). Multiplicative renormalization and generating functions I. Taiwanese J. Math. 7 89-101. MR1961041 (Pubitemid 41393471)
-
(2003)
Taiwanese Journal of Mathematics
, vol.7
, Issue.1
, pp. 89-101
-
-
Asai, N.1
Kubo, I.2
Kuo, H.-H.3
-
6
-
-
7444251626
-
Multiplicative renormalization and generating functions II
-
Asai, N., Kubo, I. and Kuo, H. (2004). Multiplicative renormalization and generating functions II. Taiwanese J. Math. 8 593-628. MR2105554 (Pubitemid 41393385)
-
(2004)
Taiwanese Journal of Mathematics
, vol.8
, Issue.4
, pp. 593-628
-
-
Asai, N.1
Kubo, I.2
Kuo, H.-H.3
-
7
-
-
0001828623
-
On a certain class of orthogonal polynomials
-
MR0003852
-
Beale, F.S. (1941). On a certain class of orthogonal polynomials. Ann. Math. Statist. 12 97-103. MR0003852
-
(1941)
Ann. Math. Statist.
, vol.12
, pp. 97-103
-
-
Beale, F.S.1
-
8
-
-
0002914602
-
Density questions in the classical theory of moments
-
VI, MR0638619
-
Berg, C. and Christensen, J.P.R. (1981). Density questions in the classical theory of moments. Ann. Inst. Fourier (Grenoble) 31 VI 99-114. MR0638619
-
(1981)
Ann. Inst. Fourier (Grenoble)
, vol.31
, pp. 99-114
-
-
Berg, C.1
Christensen, J.P.R.2
-
9
-
-
0015954998
-
The convergence of Bhattacharyya bounds
-
MR0381097
-
Blight, B.J.N. and Rao, P.V. (1974). The convergence of Bhattacharyya bounds. Biometrika 61 137-142. MR0381097
-
(1974)
Biometrika
, vol.61
, pp. 137-142
-
-
Blight, B.J.N.1
Rao, P.V.2
-
10
-
-
0005387906
-
On Gaussian and Bernoulli covariance representations
-
Bobkov, S.G., Götze, F. and Houdré, C. (2001). On Gaussian and Bernoulli covariance representations. Bernoulli 7 439-451. MR1836739 (Pubitemid 33793049)
-
(2001)
Bernoulli
, vol.7
, Issue.3
, pp. 439-451
-
-
Bobkov, S.G.1
Gotze, F.2
Houdre, C.3
-
11
-
-
0036455622
-
An application of a density transform and the local limit theorem. Teor. Veroyatnost. i Primenen. 46 803-810; translation in
-
MR1971837
-
Cacoullos, T., Papadatos, N. and Papathanasiou, V. (2001). An application of a density transform and the local limit theorem. Teor. Veroyatnost. i Primenen. 46 803-810; translation in Theory Probab. Appl. 46 (2003) 699-707. MR1971837
-
(2001)
Theory Probab. Appl.
, vol.46
, Issue.2003
, pp. 699-707
-
-
Cacoullos, T.1
Papadatos, N.2
Papathanasiou, V.3
-
12
-
-
38249042346
-
Bounds for the variance of functions of random variables by orthogonal polynomials and Bhattacharyya bounds
-
MR0822720
-
Cacoullos, T. and Papathanasiou, V. (1986). Bounds for the variance of functions of random variables by orthogonal polynomials and Bhattacharyya bounds. Statist. Probab. Lett. 4 21-23. MR0822720
-
(1986)
Statist. Probab. Lett.
, vol.4
, pp. 21-23
-
-
Cacoullos, T.1
Papathanasiou, V.2
-
13
-
-
38249022748
-
Characterizations of distributions by variance bounds
-
MR1001133
-
Cacoullos, T. and Papathanasiou, V. (1989). Characterizations of distributions by variance bounds. Statist. Probab. Lett. 7 351-356. MR1001133
-
(1989)
Statist. Probab. Lett.
, vol.7
, pp. 351-356
-
-
Cacoullos, T.1
Papathanasiou, V.2
-
14
-
-
0000985130
-
Variational inequalities with examples and an application to the central limit theorem
-
MR1303658
-
Cacoullos, T., Papathanasiou, V. and Utev, S.A. (1994). Variational inequalities with examples and an application to the central limit theorem. Ann. Probab. 22 1607-1618. MR1303658
-
(1994)
Ann. Probab.
, vol.22
, pp. 1607-1618
-
-
Cacoullos, T.1
Papathanasiou, V.2
Utev, S.A.3
-
15
-
-
0001067389
-
Poisson approximation for dependent trials
-
MR0428387
-
Chen, L.H.Y. (1975). Poisson approximation for dependent trials. Ann. Probab. 3 534-545. MR0428387
-
(1975)
Ann. Probab.
, vol.3
, pp. 534-545
-
-
Chen, L.H.Y.1
-
16
-
-
0001136294
-
A note on an inequality involving the normal distribution
-
MR0614640
-
Chernoff, H. (1981). A note on an inequality involving the normal distribution. Ann. Probab. 9 533-535. MR0614640
-
(1981)
Ann. Probab.
, vol.9
, pp. 533-535
-
-
Chernoff, H.1
-
17
-
-
84972535617
-
Closed form summation for classical distributions: Variations on a theme of De Moivre
-
MR1144242
-
Diaconis, P. and Zabell, S. (1991). Closed form summation for classical distributions: Variations on a theme of De Moivre. Statist. Sci. 6 284-302. MR1144242
-
(1991)
Statist. Sci.
, vol.6
, pp. 284-302
-
-
Diaconis, P.1
Zabell, S.2
-
18
-
-
0031260681
-
Stein's method and the zero-bias transformation with application to simple random sampling
-
MR1484792
-
Goldstein, L. and Reinert, G. (1997). Stein's method and the zero-bias transformation with application to simple random sampling. Ann. Appl. Probab. 7 935-952. MR1484792
-
(1997)
Ann. Appl. Probab.
, vol.7
, pp. 935-952
-
-
Goldstein, L.1
Reinert, G.2
-
19
-
-
16244412903
-
Distributional transformations, orthogonal polynomials, and Stein characterizations
-
DOI 10.1007/s10959-004-2602-6
-
Goldstein, L. and Reinert, G. (2005). Distributional transformations, orthogonal polynomials, and Stein characterizations. J. Theoret. Probab. 18 237-260. MR2132278 (Pubitemid 40465394)
-
(2005)
Journal of Theoretical Probability
, vol.18
, Issue.1
, pp. 237-260
-
-
Goldstein, L.1
Reinert, G.2
-
20
-
-
0002321209
-
Variance inequalities for functions of Gaussian variables
-
MR1308667
-
Houdré, C. and Kagan, A. (1995). Variance inequalities for functions of Gaussian variables. J. Theoret. Probab. 8 23-30. MR1308667
-
(1995)
J. Theoret. Probab.
, vol.8
, pp. 23-30
-
-
Houdré, C.1
Kagan, A.2
-
21
-
-
0010773289
-
Covariance identities and inequalities for functionals on Wiener and Poisson spaces
-
MR1330776
-
Houdré, C. and Pérez-Abreu, V. (1995). Covariance identities and inequalities for functionals on Wiener and Poisson spaces. Ann. Probab. 23 400-419. MR1330776
-
(1995)
Ann. Probab.
, vol.23
, pp. 400-419
-
-
Houdré, C.1
Pérez-Abreu, V.2
-
22
-
-
0010994548
-
A note on variance bounds for a function of a Pearson variate
-
MR1257861
-
Johnson, R.W. (1993). A note on variance bounds for a function of a Pearson variate. Statist. Decisions 11 273-278. MR1257861
-
(1993)
Statist. Decisions
, vol.11
, pp. 273-278
-
-
Johnson, R.W.1
-
23
-
-
0000319146
-
On characterizations of distributions by mean absolute deviation and variance bounds
-
MR1128869
-
Korwar, R.M. (1991). On characterizations of distributions by mean absolute deviation and variance bounds. Ann. Inst. Statist. Math. 43 287-295. MR1128869
-
(1991)
Ann. Inst. Statist. Math.
, vol.43
, pp. 287-295
-
-
Korwar, R.M.1
-
24
-
-
12244291299
-
Generalized
-
Pearson distributions and related characterization problems, MR1954042
-
Lefévre, C., Papathanasiou, V. and Utev, S.A. (2002). Generalized Pearson distributions and related characterization problems. Ann. Inst. Statist. Math. 54 731-742. MR1954042
-
(2002)
Ann. Inst. Statist. Math.
, vol.54
, pp. 731-742
-
-
Lefévre, C.1
Papathanasiou, V.2
Utev, S.A.3
-
25
-
-
0347998575
-
Estimation based on the winzorized mean in the geometric distribution
-
MR1820824
-
López-Blázquez, F. and Salamanca-Miño, B. (2000). Estimation based on the winzorized mean in the geometric distribution. Statistics 35 81-95. MR1820824
-
(2000)
Statistics
, vol.35
, pp. 81-95
-
-
López-Blázquez, F.1
Salamanca-Mino, B.2
-
26
-
-
84962022819
-
Unified variance bounds and a Stein-type identity
-
(C.A. Charalambides, M.V. Koutras and N. Balakrishnan, eds.). New York: Chapman & Hall/CRC
-
Papadatos, N. and Papathanasiou, V. (2001). Unified variance bounds and a Stein-type identity. In Probability and Statistical Models With Applications (C.A. Charalambides, M.V. Koutras and N. Balakrishnan, eds.) 87-100. New York: Chapman & Hall/CRC.
-
(2001)
Probability and Statistical Models With Applications
, pp. 87-100
-
-
Papadatos, N.1
Papathanasiou, V.2
-
27
-
-
0036754022
-
Poisson approximation for a sum of dependent indicators: An alternative approach
-
DOI 10.1239/aap/1033662168
-
Papadatos, N. and Papathanasiou, V. (2002). Poisson approximation for a sum of dependent indicators: An alternative approach. Adv. in Appl. Probab. 34 609-625. MR1929600 (Pubitemid 35297880)
-
(2002)
Advances in Applied Probability
, vol.34
, Issue.3
, pp. 609-625
-
-
Papadatos, N.1
Papathanasiou, V.2
-
28
-
-
12244268590
-
A characterization of the Pearson system of distributions and the associated orthogonal polynomials
-
MR1341214
-
Papathanasiou, V. (1995). A characterization of the Pearson system of distributions and the associated orthogonal polynomials. Ann. Inst. Statist. Math. 47 171-176. MR1341214
-
(1995)
Ann. Inst. Statist. Math.
, vol.47
, pp. 171-176
-
-
Papathanasiou, V.1
-
29
-
-
0042910559
-
Extended covariance identities and inequalities
-
DOI 10.1016/S0167-7152(01)00140-7, PII S0167715201001407
-
Privault, N. (2001). Extended covariance identities and inequalities. Statist. Probab. Lett. 55 247-255. MR1867528 (Pubitemid 33619137)
-
(2001)
Statistics and Probability Letters
, vol.55
, Issue.3
, pp. 247-255
-
-
Privault, N.1
-
30
-
-
0001270801
-
Sur le problème des moments et le théorème de Parseval correspondant (in French)
-
Riesz, M. (1923). Sur le problème des moments et le théorème de Parseval correspondant (in French). Acta Litt. Ac. Sci. (Szeged) 1 209-225.
-
(1923)
Acta Litt. Ac. Sci. (Szeged)
, vol.1
, pp. 209-225
-
-
Riesz, M.1
-
31
-
-
0035863994
-
Orthogonal Polynomials in Stein's Method
-
DOI 10.1006/jmaa.2000.7159, PII S0022247X00971592
-
Schoutens, W. (2001). Orthogonal polynomials in Stein's method. J. Math. Anal. Appl. 253 515-531. MR1808151 (Pubitemid 33382562)
-
(2001)
Journal of Mathematical Analysis and Applications
, vol.253
, Issue.2
, pp. 515-531
-
-
Schoutens, W.1
-
32
-
-
0002314745
-
On the variance of estimates
-
MR0029141
-
Seth, G.R. (1949). On the variance of estimates. Ann. Math. Statist. 20 1-27. MR0029141
-
(1949)
Ann. Math. Statist.
, vol.20
, pp. 1-27
-
-
Seth, G.R.1
-
33
-
-
0000457248
-
A bound for the error in the normal approximation to the distribution of a sum of dependent random variables
-
Berkeley, CA: Univ. California Press. MR0402873
-
Stein, C.M. (1972). A bound for the error in the normal approximation to the distribution of a sum of dependent random variables. In Proc. Sixth Berkeley Symp. Math. Statist. Probab. 2 583-602. Berkeley, CA: Univ. California Press. MR0402873
-
(1972)
Proc. Sixth Berkeley Symp. Math. Statist. Probab.
, vol.2
, pp. 583-602
-
-
Stein, C.M.1
-
34
-
-
0000169918
-
Estimation of the mean of a multivariate normal distribution
-
MR0630098
-
Stein, C. (1981). Estimation of the mean of a multivariate normal distribution. Ann. Statist. 9 1135-1151. MR0630098
-
(1981)
Ann. Statist.
, vol.9
, pp. 1135-1151
-
-
Stein, C.1
|