UMVU estimation for certain family of exponential distributions.

被引：4

作者：

LopezBlazquez, F ^{[1
]}

BarrancoChamorro, I ^{[1
]}

MorenoRebollo, JL ^{[1
]}

机构：

[1] UNIV SEVILLA, FAC MATEMAT, DPTO ESTADIST & IO, SEVILLE 41012, SPAIN

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 1997年 / 26卷 / 02期

关键词：

minimum variance estimation; gamma distributions; transformed chi-square distributions;

D O I：

10.1080/03610929708831928

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In tills paper me study certain properties of estimable and UMVU-estimable functions in a subfamily of the one-parameter exponential family of distributions for which there exists a sufficient and complete statistic following a Gamma distribution. These results are applied to the problem of estimation in the transformed chi-square family.

引用

页码：469 / 482

页数：14

共 50 条

[41] HAIGHTS DISTRIBUTIONS AS A NATURAL EXPONENTIAL FAMILY
LETAC, G
SESHADRI, V
STATISTICS & PROBABILITY LETTERS, 1988, 6 (03) : 165 - 169
[42] Distributions of exact tests in the exponential family
Stehlik, M
METRIKA, 2003, 57 (02) : 145 - 164
[43] Distributions of exact tests in the exponential family
Milan Stehlík
Metrika, 2003, 57 : 145 - 164
[44] A family of bivariate exponential distributions and their copulas
Nair, N. Unnikrishnan
Sankaran, P. G.
SANKHYA-SERIES B-APPLIED AND INTERDISCIPLINARY STATISTICS, 2014, 76 (01): : 1 - 18
[45] Bayesian estimation for shifted exponential distributions
Madi, MT
Leonard, T
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1996, 55 (03) : 345 - 351
[46] On the betas of quadrilateral distributions.
Davies, OL
BIOMETRIKA, 1932, 24 : 498 - 510
[47] Sequential Estimation and Diffusion of Information Over Networks: A Bayesian Approach With Exponential Family of Distributions
Dedecius, Kamil
Djuric, Petar M.
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2017, 65 (07) : 1795 - 1809
[48] Interval estimation of the overlapping coefficients in an exponential family of distributions based on upper record values
Dhaker, Hamza
El Adlouni, Salah-Eddine
JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2024, 94 (09) : 1841 - 1856
[49] Estimation following a group sequential test for distributions in the one-parameter exponential family
Liu, AY
Hall, WJ
Yu, KF
Wu, CQ
STATISTICA SINICA, 2006, 16 (01) : 165 - 181
[50] NOTE ON A CERTAIN FAMILY OF DISCRETE DISTRIBUTIONS
MARITZ, JS
BIOMETRIKA, 1952, 39 (1-2) : 196 - 198

← 1 2 3 4 5 →