On the asymptotic behaviour of the joint distribution of the maxima and minima of observations, when the sample size is a random variable

IF 0.9 4区数学 Q3 STATISTICS & PROBABILITY

Metrika Pub Date : 2024-01-05 DOI:10.1007/s00184-023-00940-2

R. Vasudeva

引用次数: 0

Abstract

In this paper, we obtain the asymptotic form of the joint distribution of maxima and minima of independent observations, when the sample size is a random variable. We also discuss the asymptotic distribution of the Range.

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当样本量是一个随机变量时，观测值最大值和最小值联合分布的渐近行为

在本文中，我们得到了当样本量为随机变量时，独立观测值的最大值和最小值的联合分布的渐近形式。我们还讨论了范围的渐近分布。

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

Metrika 数学-统计学与概率论

CiteScore

1.50

自引率

14.30%

发文量

审稿时长

6-12 weeks

期刊介绍： Metrika is an international journal for theoretical and applied statistics. Metrika publishes original research papers in the field of mathematical statistics and statistical methods. Great importance is attached to new developments in theoretical statistics, statistical modeling and to actual innovative applicability of the proposed statistical methods and results. Topics of interest include, without being limited to, multivariate analysis, high dimensional statistics and nonparametric statistics; categorical data analysis and latent variable models; reliability, lifetime data analysis and statistics in engineering sciences.