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

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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