REPRODUCIBLE NATURAL EXPONENTIAL-FAMILIES

被引：0

作者：

BARLEV, SK ^{[1
]}

CASALIS, M ^{[1
]}

机构：

[1] UNIV TOULOUSE 3,STAT & PROBAB LAB,CNRS,URA 118,F-31062 TOULOUSE,FRANCE

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1994年 / 319卷 / 12期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Denoting by f(alpha,beta) (F) the image of a natural exponential family (NEF) F on R by the affine transformation f(alpha beta) and by F-lambda its lambda(e)-convolution power, we describe all the NEF for which f(alpha beta)(F) = F-lambda for a given (alpha,beta,lambda). We apply this result to reproducible NEF and we then obtain a new characterization of the NEF with a power variance-function.

引用

页码：1323 / 1326

页数：4

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