Fisher information in weighted distributions

被引:15
作者
Iyengar, S [1 ]
Kvam, P [1 ]
Singh, H [1 ]
机构
[1] Univ Pittsburgh, Dept Math & Stat, Pittsburgh, PA 15260 USA
来源
CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE | 1999年 / 27卷 / 04期
关键词
exponential family; hazard-rate function; meta-analysis; order statistics; residual lifetime; reversed hazard-rate function; selection model;
D O I
10.2307/3316134
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
Suppose that a density f(theta)(x) belongs to an exponential family, but that inference about theta must be based on data that are obtained from a density that is proportional to w(x)f(theta)(x). The authors study the Fisher information about theta in observations obtained from such weighted distributions and give conditions under which this information is greater than under the original density. These conditions involve the hazard- and reversed-hazard-rate functions.
引用
收藏
页码:833 / 841
页数:9
相关论文
共 19 条
[1]  
Anderson P., 1993, STAT MODELS BASED CO
[2]  
Barlow RE, 1975, STAT THEORY RELIABIL
[3]  
Bayarri M. J., 1987, PROBABILITY BAYESIAN, P39
[4]  
Bayarri M. J., 1987, CONTRIBUTIONS PROBAB, P412
[5]  
BAYARRI MJ, 1987, STATISTICIAN, V36, P137
[6]   The reversed hazard rate function [J].
Block, HW ;
Savits, TH ;
Singh, H .
PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES, 1998, 12 (01) :69-90
[7]  
David H.A., 1970, ORDER STAT
[8]   The effect of methods of ascertainment upon the estimation of frequencies [J].
Fisher, RA .
ANNALS OF EUGENICS, 1934, 6 :13-25
[9]  
Hedges L. V., 1992, STAT SCI, V72, P246, DOI [DOI 10.1214/SS/1177011364, 10.1214/ss/1177011364]
[10]   ON A LOWER BOUND FOR THE MULTIVARIATE NORMAL MILLS RATIO [J].
IYENGAR, S .
ANNALS OF PROBABILITY, 1986, 14 (04) :1399-1403