On the Joint Distribution of Precedences and Exceedances for the Two-Sample Problem

This paper studies the joint behaviour of precedences of one sample with respect to a threshold from the other sample and exceedances of second sample with respect to a threshold from the first sample. Exact joint distribution of the number of precedences and exceedances is derived for the case of e...

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Main Authors:	Eugenia Stoimenova, Narayanaswamy Balakrishnan
Format:	Article
Language:	English
Published:	Austrian Statistical Society 2016-02-01
Series:	Austrian Journal of Statistics
Online Access:	http://www.ajs.or.at/index.php/ajs/article/view/207

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spelling	doaj-d8f6122cf6cc478c98b4abbba7cda3f52021-04-22T12:34:42ZengAustrian Statistical SocietyAustrian Journal of Statistics1026-597X2016-02-01401&210.17713/ajs.v40i1&2.207On the Joint Distribution of Precedences and Exceedances for the Two-Sample ProblemEugenia Stoimenova0Narayanaswamy Balakrishnan1Bulgarian Academy of Sciences, BulgariaMcMaster University, CanadaThis paper studies the joint behaviour of precedences of one sample with respect to a threshold from the other sample and exceedances of second sample with respect to a threshold from the first sample. Exact joint distribution of the number of precedences and exceedances is derived for the case of equal distributions of the two samples.http://www.ajs.or.at/index.php/ajs/article/view/207
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Eugenia Stoimenova Narayanaswamy Balakrishnan
spellingShingle	Eugenia Stoimenova Narayanaswamy Balakrishnan On the Joint Distribution of Precedences and Exceedances for the Two-Sample Problem Austrian Journal of Statistics
author_facet	Eugenia Stoimenova Narayanaswamy Balakrishnan
author_sort	Eugenia Stoimenova
title	On the Joint Distribution of Precedences and Exceedances for the Two-Sample Problem
title_short	On the Joint Distribution of Precedences and Exceedances for the Two-Sample Problem
title_full	On the Joint Distribution of Precedences and Exceedances for the Two-Sample Problem
title_fullStr	On the Joint Distribution of Precedences and Exceedances for the Two-Sample Problem
title_full_unstemmed	On the Joint Distribution of Precedences and Exceedances for the Two-Sample Problem
title_sort	on the joint distribution of precedences and exceedances for the two-sample problem
publisher	Austrian Statistical Society
series	Austrian Journal of Statistics
issn	1026-597X
publishDate	2016-02-01
description	This paper studies the joint behaviour of precedences of one sample with respect to a threshold from the other sample and exceedances of second sample with respect to a threshold from the first sample. Exact joint distribution of the number of precedences and exceedances is derived for the case of equal distributions of the two samples.
url	http://www.ajs.or.at/index.php/ajs/article/view/207
work_keys_str_mv	AT eugeniastoimenova onthejointdistributionofprecedencesandexceedancesforthetwosampleproblem AT narayanaswamybalakrishnan onthejointdistributionofprecedencesandexceedancesforthetwosampleproblem
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On the Joint Distribution of Precedences and Exceedances for the Two-Sample Problem

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