INTEGRABLE EXPANSIONS FOR POSTERIOR DISTRIBUTIONS FOR ONE-PARAMETER EXPONENTIAL-FAMILIES

被引:0
作者
WOODROOFE, M [1 ]
机构
[1] UNIV MICHIGAN,DEPT STAT,ANN ARBOR,MI 48109
关键词
POSTERIOR DISTRIBUTIONS; PARAMETER TRANSFORMATIONS; STEINS IDENTITY; MARTINGALE CONVERGENCE THEOREM; STOPPING TIMES; SEQUENTIAL CONFIDENCE INTERVALS;
D O I
暂无
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
The main results provide asymptotic expansions for posterior distributions which may be integrated termwise with respect to the marginal distribution of the data. The proof uses a data dependent transformation which converts the likelihood function to exact normality and then applies a version of Stein's identity to the posterior distributions. Applications to sequential confidence intervals are described briefly.
引用
收藏
页码:91 / 111
页数:21
相关论文
共 11 条
[1]   LARGE-SAMPLE THEORY OF SEQUENTIAL ESTIMATION [J].
ANSCOMBE, FJ .
PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1952, 48 (04) :600-607
[2]  
Berger J. O., 1984, LIKELIHOOD PRINCIPLE, V6
[3]  
BICKEL PJ, 1985, P BERKELEY C HONOR J, V2, P749
[4]  
BROWN LD, 1986, FUNDAMENTALS STATIST
[5]  
Chow YS, 1971, GREAT EXPECTATIONS T
[6]  
GHOSH JK, 1985, 3RD P PURD S STAT DE, V1, P403
[7]   ASYMPTOTIC EXPANSIONS ASSOCIATED WITH POSTERIOR DISTRIBUTIONS [J].
JOHNSON, RA .
ANNALS OF MATHEMATICAL STATISTICS, 1970, 41 (03) :851-&
[8]  
STEIN C, 1987, APPROXIMATE COMPUTAS
[9]   VERY WEAK EXPANSIONS FOR SEQUENTIALLY DESIGNED EXPERIMENTS - LINEAR-MODELS [J].
WOODROOFE, M .
ANNALS OF STATISTICS, 1989, 17 (03) :1087-1102
[10]   VERY WEAK EXPANSIONS FOR SEQUENTIAL CONFIDENCE LEVELS [J].
WOODROOFE, M .
ANNALS OF STATISTICS, 1986, 14 (03) :1049-1067