On testing exponentiality under Type-I censoring

<div><p>Two new goodness-of-fit testing procedures are introduced to test exponentiality when data are subject to Type-I censoring. We proposed four test statistics for this purpose. Under extensive Monte Carlo simulations, we showed that the proposed tests maintain the nominal significa...

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Main Author: Reza Pakyari (18021664) (author)
Other Authors: Omama M. Al-Hamed (18021667) (author)
Published: 2023
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author Reza Pakyari (18021664)
author2 Omama M. Al-Hamed (18021667)
author2_role author
author_facet Reza Pakyari (18021664)
Omama M. Al-Hamed (18021667)
author_role author
dc.creator.none.fl_str_mv Reza Pakyari (18021664)
Omama M. Al-Hamed (18021667)
dc.date.none.fl_str_mv 2023-02-14T03:00:00Z
dc.identifier.none.fl_str_mv 10.3389/fams.2023.1113477
dc.relation.none.fl_str_mv https://figshare.com/articles/journal_contribution/On_testing_exponentiality_under_Type-I_censoring/25284967
dc.rights.none.fl_str_mv CC BY 4.0
info:eu-repo/semantics/openAccess
dc.subject.none.fl_str_mv Mathematical sciences
Applied mathematics
Statistics
beta distribution
binomial distribution
exponential distribution
goodness-of-fit testing
maximum likelihood estimator
order statistics
quantiles
Type-I censoring
dc.title.none.fl_str_mv On testing exponentiality under Type-I censoring
dc.type.none.fl_str_mv Text
Journal contribution
info:eu-repo/semantics/publishedVersion
text
contribution to journal
description <div><p>Two new goodness-of-fit testing procedures are introduced to test exponentiality when data are subject to Type-I censoring. We proposed four test statistics for this purpose. Under extensive Monte Carlo simulations, we showed that the proposed tests maintain the nominal significance level and show good power for both monotonic and non-monotonic hazard function alternatives even for small samples as n = 10. A real dataset is studied for illustrative purposes.</p><p> </p></div><h2>Other Information</h2> <p> Published in: Frontiers in Applied Mathematics and Statistics<br> License: <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank">https://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.3389/fams.2023.1113477" target="_blank">https://dx.doi.org/10.3389/fams.2023.1113477</a></p>
eu_rights_str_mv openAccess
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identifier_str_mv 10.3389/fams.2023.1113477
network_acronym_str Manara2
network_name_str Manara2
oai_identifier_str oai:figshare.com:article/25284967
publishDate 2023
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rights_invalid_str_mv CC BY 4.0
spelling On testing exponentiality under Type-I censoringReza Pakyari (18021664)Omama M. Al-Hamed (18021667)Mathematical sciencesApplied mathematicsStatisticsbeta distributionbinomial distributionexponential distributiongoodness-of-fit testingmaximum likelihood estimatororder statisticsquantilesType-I censoring<div><p>Two new goodness-of-fit testing procedures are introduced to test exponentiality when data are subject to Type-I censoring. We proposed four test statistics for this purpose. Under extensive Monte Carlo simulations, we showed that the proposed tests maintain the nominal significance level and show good power for both monotonic and non-monotonic hazard function alternatives even for small samples as n = 10. A real dataset is studied for illustrative purposes.</p><p> </p></div><h2>Other Information</h2> <p> Published in: Frontiers in Applied Mathematics and Statistics<br> License: <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank">https://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.3389/fams.2023.1113477" target="_blank">https://dx.doi.org/10.3389/fams.2023.1113477</a></p>2023-02-14T03:00:00ZTextJournal contributioninfo:eu-repo/semantics/publishedVersiontextcontribution to journal10.3389/fams.2023.1113477https://figshare.com/articles/journal_contribution/On_testing_exponentiality_under_Type-I_censoring/25284967CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/252849672023-02-14T03:00:00Z
spellingShingle On testing exponentiality under Type-I censoring
Reza Pakyari (18021664)
Mathematical sciences
Applied mathematics
Statistics
beta distribution
binomial distribution
exponential distribution
goodness-of-fit testing
maximum likelihood estimator
order statistics
quantiles
Type-I censoring
status_str publishedVersion
title On testing exponentiality under Type-I censoring
title_full On testing exponentiality under Type-I censoring
title_fullStr On testing exponentiality under Type-I censoring
title_full_unstemmed On testing exponentiality under Type-I censoring
title_short On testing exponentiality under Type-I censoring
title_sort On testing exponentiality under Type-I censoring
topic Mathematical sciences
Applied mathematics
Statistics
beta distribution
binomial distribution
exponential distribution
goodness-of-fit testing
maximum likelihood estimator
order statistics
quantiles
Type-I censoring