REPETITIVE ACCEPTANCE SAMPLING PLAN FOR LIFETIMES FOLLOWING A SKEW-GENERALIZED INVERSE WEIBULL DISTRIBUTION

REPETITIVE ACCEPTANCE SAMPLING PLAN FOR LIFETIMES FOLLOWING A SKEW-GENERALIZED INVERSE WEIBULL DISTRIBUTION

ABSTRACT In this paper, we consider a skew-generalized inverse Weibull probability distribution for repetitive acceptance sampling plans based on truncated life tests with known shape parameter. The design parameters such as sample size and acceptance numbers are evaluated by considering the median life time of the test units as a quality parameter under the constraint of two risks, known as the producer’s risk and consumer’s risk at a certain level. We explained the proposed method with the help of tables for different values of the known parameter. The skew-generalized inverse Weibull distribution fits better a real data set considered than the generalized inverse Weibull distribution. Comparison between the proposed plan and the single sampling plan is presented.

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Main Authors: Singh,Navjeet, Singh,Gurcharan, Kanwar,Ashima, Singh,Navyodh
Format: Digital revista
Language:English
Published: Sociedade Brasileira de Pesquisa Operacional 2022
Online Access:http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0101-74382022000100208
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spelling oai:scielo:S0101-743820220001002082022-04-27REPETITIVE ACCEPTANCE SAMPLING PLAN FOR LIFETIMES FOLLOWING A SKEW-GENERALIZED INVERSE WEIBULL DISTRIBUTIONSingh,NavjeetSingh,GurcharanKanwar,AshimaSingh,Navyodh consumer’s risk median life producer’s risk repetitive acceptance sampling plan skew-generalized inverse Weibull distribution ABSTRACT In this paper, we consider a skew-generalized inverse Weibull probability distribution for repetitive acceptance sampling plans based on truncated life tests with known shape parameter. The design parameters such as sample size and acceptance numbers are evaluated by considering the median life time of the test units as a quality parameter under the constraint of two risks, known as the producer’s risk and consumer’s risk at a certain level. We explained the proposed method with the help of tables for different values of the known parameter. The skew-generalized inverse Weibull distribution fits better a real data set considered than the generalized inverse Weibull distribution. Comparison between the proposed plan and the single sampling plan is presented.info:eu-repo/semantics/openAccessSociedade Brasileira de Pesquisa OperacionalPesquisa Operacional v.42 20222022-01-01info:eu-repo/semantics/articletext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0101-74382022000100208en10.1590/0101-7438.2022.042.00249077
institution SCIELO
collection OJS
country Brasil
countrycode BR
component Revista
access En linea
databasecode rev-scielo-br
tag revista
region America del Sur
libraryname SciELO
language English
format Digital
author Singh,Navjeet
Singh,Gurcharan
Kanwar,Ashima
Singh,Navyodh
spellingShingle Singh,Navjeet
Singh,Gurcharan
Kanwar,Ashima
Singh,Navyodh
REPETITIVE ACCEPTANCE SAMPLING PLAN FOR LIFETIMES FOLLOWING A SKEW-GENERALIZED INVERSE WEIBULL DISTRIBUTION
author_facet Singh,Navjeet
Singh,Gurcharan
Kanwar,Ashima
Singh,Navyodh
author_sort Singh,Navjeet
title REPETITIVE ACCEPTANCE SAMPLING PLAN FOR LIFETIMES FOLLOWING A SKEW-GENERALIZED INVERSE WEIBULL DISTRIBUTION
title_short REPETITIVE ACCEPTANCE SAMPLING PLAN FOR LIFETIMES FOLLOWING A SKEW-GENERALIZED INVERSE WEIBULL DISTRIBUTION
title_full REPETITIVE ACCEPTANCE SAMPLING PLAN FOR LIFETIMES FOLLOWING A SKEW-GENERALIZED INVERSE WEIBULL DISTRIBUTION
title_fullStr REPETITIVE ACCEPTANCE SAMPLING PLAN FOR LIFETIMES FOLLOWING A SKEW-GENERALIZED INVERSE WEIBULL DISTRIBUTION
title_full_unstemmed REPETITIVE ACCEPTANCE SAMPLING PLAN FOR LIFETIMES FOLLOWING A SKEW-GENERALIZED INVERSE WEIBULL DISTRIBUTION
title_sort repetitive acceptance sampling plan for lifetimes following a skew-generalized inverse weibull distribution
description ABSTRACT In this paper, we consider a skew-generalized inverse Weibull probability distribution for repetitive acceptance sampling plans based on truncated life tests with known shape parameter. The design parameters such as sample size and acceptance numbers are evaluated by considering the median life time of the test units as a quality parameter under the constraint of two risks, known as the producer’s risk and consumer’s risk at a certain level. We explained the proposed method with the help of tables for different values of the known parameter. The skew-generalized inverse Weibull distribution fits better a real data set considered than the generalized inverse Weibull distribution. Comparison between the proposed plan and the single sampling plan is presented.
publisher Sociedade Brasileira de Pesquisa Operacional
publishDate 2022
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0101-74382022000100208
work_keys_str_mv AT singhnavjeet repetitiveacceptancesamplingplanforlifetimesfollowingaskewgeneralizedinverseweibulldistribution
AT singhgurcharan repetitiveacceptancesamplingplanforlifetimesfollowingaskewgeneralizedinverseweibulldistribution
AT kanwarashima repetitiveacceptancesamplingplanforlifetimesfollowingaskewgeneralizedinverseweibulldistribution
AT singhnavyodh repetitiveacceptancesamplingplanforlifetimesfollowingaskewgeneralizedinverseweibulldistribution
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