On precedence tests with double sampling

IF 1.2 4区数学 Q2 STATISTICS & PROBABILITY

Statistics Pub Date : 2023-04-24 DOI:10.1080/02331888.2023.2203491

Niladri Chakraborty, N. Balakrishnan, M. Finkelstein

引用次数: 0

Abstract

A new double sampling-based precedence and weighted precedence tests are introduced and analysed. The joint distributions of two precedence and weighted precedence statistics are obtained under the double-sampling framework. Subsequently, the closed-form expressions for the rejection probabilities are derived under the null hypothesis and the Lehmann alternative. The corresponding power comparison is carried out against the Lehmann alternative and the location-scale alternative through Monte-Carlo simulations. Finally, a couple of detailed illustrative examples are presented.

查看原文本刊更多论文

双采样优先试验

介绍并分析了一种新的基于双重抽样的优先级和加权优先级检验方法。在双采样框架下，得到了两个优先统计量和加权优先统计量的联合分布。然后，在零假设和Lehmann备选条件下，导出了拒绝概率的封闭表达式。通过蒙特卡罗仿真，对Lehmann替代方案和位置尺度替代方案进行了相应的功率比较。最后，给出了几个详细的示例。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Statistics 数学-统计学与概率论

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

12 months

期刊介绍： Statistics publishes papers developing and analysing new methods for any active field of statistics, motivated by real-life problems. Papers submitted for consideration should provide interesting and novel contributions to statistical theory and its applications with rigorous mathematical results and proofs. Moreover, numerical simulations and application to real data sets can improve the quality of papers, and should be included where appropriate. Statistics does not publish papers which represent mere application of existing procedures to case studies, and papers are required to contain methodological or theoretical innovation. Topics of interest include, for example, nonparametric statistics, time series, analysis of topological or functional data. Furthermore the journal also welcomes submissions in the field of theoretical econometrics and its links to mathematical statistics.