INTEGRAL-TYPE TESTS FOR GOODNESS-OF-FIT

被引：0
|
作者：
Junjian ZHANG College of Mathematics
College of Applied Sciences
机构：
来源：
Journal of Systems Science & Complexity | 2010年 / 23卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Asymptotic distribution; goodness-of-fit; integral-type tests; power comparison;
D O I：
暂无
中图分类号：
O212.1 [一般数理统计];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
A family of integral-type goodness-of-fit tests is investigated.This family includes someexisting tests,such as the Cramér-von Mises test and Anderson-Darling test,etc.The asymptoticdistributions of the tests in the family under the null and local alternative hypotheses are established.The almost sure convergence under a fixed underlying distribution is obtained.Furthermore,simulationsare conducted to compare the powers of the tests in the family.Simulation results show that fordifferent alternatives,the more powerful tests are different,and the parameter λ has great influence onthe tests in small sample cases.
引用
收藏
页码：784 / 795
页数：12
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