Asymptotic properties of goodness of fit tests based on higher order overlapping spacings

IF 0.9 4区数学 Q3 STATISTICS & PROBABILITY

Statistics & Probability Letters Pub Date : 2025-05-29 DOI:10.1016/j.spl.2025.110461

Sherzod M. Mirakhmedov

引用次数: 0

Abstract

The paper is devoted to tests for uniformity based on sum-functions of overlapping spacings, where the order of spacings can diverge to infinity as the sample size increases. In particular, it is shown that the asymptotic local power and Pitman asymptotic relative efficiencies of these tests depend significantly on the asymptotic properties of the counterpart statistics based on disjoint spacings. The general results are applied to a family of tests based on power divergence statistics.

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基于高阶重叠间距的拟合优度检验的渐近性质

本文致力于基于重叠间隔和函数的均匀性检验，其中间隔的顺序可以随着样本量的增加而发散到无穷大。特别地，证明了这些检验的渐近局部幂和Pitman渐近相对效率在很大程度上取决于基于不相交间隔的对应统计量的渐近性质。将一般结果应用于基于功率散度统计的一系列测试。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Statistics & Probability Letters 数学-统计学与概率论

CiteScore

1.60

自引率

0.00%

发文量

173

审稿时长

6 months

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