THE MODIFIED SIGNED LIKELIHOOD STATISTIC AND SADDLEPOINT APPROXIMATIONS

被引:47
作者
JENSEN, JL
机构
关键词
APPROXIMATELY SIMILAR TEST; FISHER-BEHRENS PROBLEM; LARGE DEVIATION; MODIFIED LIKELIHOOD RATIO STATISTIC; UNIFORM ASYMPTOTIC EXPANSION;
D O I
10.2307/2337225
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
For a number of tests in exponential families we show that the use of a normal approximation to the modified signed likelihood ratio statistic r* is equivalent to the use of a saddlepoint approximation. This is also true in a large deviation region where the signed likelihood ratio statistic r is of order square-root n.
引用
收藏
页码:693 / 703
页数:11
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