Practical saddlepoint approximations

被引:63
作者
Huzurbazar, S [1 ]
机构
[1] Univ Wyoming, Dept Stat, Laramie, WY 82071 USA
关键词
convolution; cumulant generating function; finite mixture distribution; p value computations; saddlepoint approximation;
D O I
10.2307/2686101
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
This article illustrates univariate and conditional saddlepoint density and distribution function approximations. The emphasis is on the applications and on the calculations needed to compute the approximations. Uses of the approx imations include p value computations for some test statistics, approximations of finite mixture distributions, and convolutions.
引用
收藏
页码:225 / 232
页数:8
相关论文
共 32 条
[1]  
Abramowitz M., 1970, HDB MATH FUNCTIONS
[2]  
BARNDORFFNIELSEN O, 1979, J ROY STAT SOC B MET, V41, P279
[3]   AN EMPIRICAL-ASSESSMENT OF SADDLEPOINT APPROXIMATIONS FOR TESTING A LOGISTIC-REGRESSION PARAMETER [J].
BEDRICK, EJ ;
HILL, JR .
BIOMETRICS, 1992, 48 (02) :529-544
[4]   Saddlepoint approximations for p-values of some tests of covariance matrices [J].
Booth, JG ;
Butler, RW ;
Huzurbazar, S ;
Wood, ATA .
JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 1995, 53 (3-4) :165-180
[5]  
BUTLER RW, 1993, J ROY STAT SOC B MET, V55, P171
[6]  
BUTLER RW, 1992, BIOMETRIKA, V79, P157, DOI 10.1093/biomet/79.1.157
[7]  
BUTLER RW, 1992, BIOMETRIKA, V79, P705
[8]   A NOTE ON THE NONCENTRAL BETA-DISTRIBUTION FUNCTION [J].
CHATTAMVELLI, R .
AMERICAN STATISTICIAN, 1995, 49 (02) :231-234
[9]   AS 310 - Computing the non-central beta distribution function [J].
Chattamvelli, R ;
Shanmugam, R .
JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES C-APPLIED STATISTICS, 1997, 46 (01) :146-156
[10]   SADDLEPOINT APPROXIMATIONS IN STATISTICS [J].
DANIELS, HE .
ANNALS OF MATHEMATICAL STATISTICS, 1954, 25 (04) :631-650