Asymptotic Theory of Dual Generalized Order Statistics from Heterogeneous Population

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成果类型：

期刊论文

作者：

A. M. Elsawah*;Fatma Essawe;Hui Zhao

通讯作者：

A. M. Elsawah

作者机构：

Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt

Division of Science and Technology, BNU-HKBU United International College, Zhuhai, China

[Hui Zhao] Faculty of Mathematics and Statistics, Central China Normal University, Wuhan, China

Department of Statistics and Computer, Faculty of Applied Science, Read Sea University, Port Sudan, Sudan

[A. M. Elsawah] Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt<&wdkj&>Division of Science and Technology, BNU-HKBU United International College, Zhuhai, China

通讯机构：

[A. M. Elsawah] D

Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt<&wdkj&>Division of Science and Technology, BNU-HKBU United International College, Zhuhai, China

语种：

英文

关键词：

Dual generalized order statistics;Asymptotic theory;Homogeneous population;Heterogeneous population;Normalization

期刊：

Journal of the Indian Society for Probability and Statistics

ISSN：

2364-9569

年：

2018

卷：

期：

页码：

359-377

DOI：

10.1007/s41096-018-0049-9

基金类别：

Zhuhai Pre- mier Discipline Grant UIC Grant#&#&#R201409#&#&#R201712 UIC Grant#&#&#R201810

机构署名：

本校为第一机构

院系归属：

数学与统计学学院

摘要：

The outcomes of several real-life experiments arise in descending order. Dual generalized order statistics (DGOS) have been introduced as a unification of several models of descendingly ordered random variables like reversed ordered order statistics, lower k-records and lower Pfeifer records. The asymptotic theory (AT) proceeds by assuming that it is possible (in principle) to keep collecting additional data, so that the sample size grows infinitely. Under this assumption, many results can be obtained that are unavailable for samples of finite size. The AT is widely used in various statistical...

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Asymptotic Theory of Dual Generalized Order Statistics from Heterogeneous Population

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