SOME INEQUALITIES IN ELEMENTARY SPECIAL-FUNCTIONS WITH APPLICATIONS TO NONPARAMETRIC STATISTICAL-INFERENCE

被引:0
|
作者
KOTI, KM [1 ]
机构
[1] SO METHODIST UNIV,DALLAS,TX 75275
关键词
INCOMPLETE BETA FUNCTIONS; INEQUALITY; QUANTILE INTERVAL; ORDER STATISTICS; OUTER CONFIDENCE INTERVAL;
D O I
10.1080/03610929008830404
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
Some inequalities are established in P1(r, s) and P1(r + 1, s), where P1(r, s) is the confidence coefficient of Wilks' (1962) outer confidence interval (X(r), X(s)) for the quantile interval (xi-p1, xi-p2). An inequality concerning incomplete beta functions is also presented and it is shown to be an improved version of one of Koti's (1989) inequalities.
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页码:3671 / 3676
页数:6
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