Nonparametric tolerance intervals controlling percentages in both tails and simultaneous testing of quantiles.

IF 1.1 4区数学 Q2 STATISTICS & PROBABILITY

Journal of Applied Statistics Pub Date : 2025-06-18 eCollection Date: 2026-01-01 DOI:10.1080/02664763.2025.2520339

Gboyega Adepoju, K Krishnamoorthy

引用次数: 0

Abstract

The problem of constructing nonparametric equal-tailed tolerance intervals is considered. A method for finding minimum sample size required so that the rth order statistic and the largest rth order statistic form a p content- $(1 - α)$ coverage equal-tailed tolerance interval is proposed. A simultaneous test for quantiles is also provided. Minimum sample sizes that are required to construct equal-tailed TIs and those to carry out hypothesis tests at a given nominal level are presented. The methods are illustrated using data collected from a new secure messaging system.

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控制双尾百分比和分位数同时检验的非参数公差区间。

研究了非参数等尾容限区间的构造问题。提出了一种求最小样本量的方法，使第n阶统计量和最大第n阶统计量形成p含量- (1 - α)覆盖等尾容差区间。还提供了分位数的同时测试。给出了构造等尾ti所需的最小样本量和在给定名义水平上进行假设检验所需的最小样本量。使用从一个新的安全消息传递系统收集的数据来说明这些方法。

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

Journal of Applied Statistics 数学-统计学与概率论

CiteScore

3.40

自引率

0.00%

发文量

126

审稿时长

6 months

期刊介绍： Journal of Applied Statistics provides a forum for communication between both applied statisticians and users of applied statistical techniques across a wide range of disciplines. These areas include business, computing, economics, ecology, education, management, medicine, operational research and sociology, but papers from other areas are also considered. The editorial policy is to publish rigorous but clear and accessible papers on applied techniques. Purely theoretical papers are avoided but those on theoretical developments which clearly demonstrate significant applied potential are welcomed. Each paper is submitted to at least two independent referees.