Implicit distributions and estimation

被引:13
作者
Hassairi, A
Masmoudi, A
Kokonendji, CC
机构
[1] Univ Sfax, Fac Sci, Sfax, Tunisia
[2] Univ Pau & Pays Adour, Lab Math Appl, Pau, France
关键词
estimator; exponential dispersion model; statistical model;
D O I
10.1081/STA-200047418
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 this article, we introduce a notion of implicit distribution for a parameter in a dominated statistical model. It is a conditional distribution of the parameter given the data. We show that the implicit distribution exists for the Jorgensen parameter in an exponential dispersion model. A method of point estimation is provided for some illustrative examples.
引用
收藏
页码:245 / 252
页数:8
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Jorgensen B., 1997, THEORY DISPERSION MO
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Robert C. P., 1994, The Bayesian choice: a decision-theoretic motivation