Mean ranked acceptance sampling plan under exponential distribution

This study proposes a new acceptance sampling scheme, namely mean ranked sampling scheme, for efficient decision of statistical quality control. The proposed scheme is based on ranked set sampling under exponential distribution for acceptance or rejection of a lot. Two-point method on operating char...

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Autores principales: Syed Adil Hussain, Ishfaq Ahmad, Aamir Saghir, Muhammad Aslam, Ibrahim M. Almanjahie
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Lenguaje:EN
Publicado: Elsevier 2021
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Acceso en línea:https://doaj.org/article/ca1a46fe26644f1995422ecc3523b5a1
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spelling oai:doaj.org-article:ca1a46fe26644f1995422ecc3523b5a12021-11-22T04:21:24ZMean ranked acceptance sampling plan under exponential distribution2090-447910.1016/j.asej.2021.03.008https://doaj.org/article/ca1a46fe26644f1995422ecc3523b5a12021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S209044792100160Xhttps://doaj.org/toc/2090-4479This study proposes a new acceptance sampling scheme, namely mean ranked sampling scheme, for efficient decision of statistical quality control. The proposed scheme is based on ranked set sampling under exponential distribution for acceptance or rejection of a lot. Two-point method on operating characteristic function is used for the derivation of plan parameters assuming approximation of exponential to normal distribution. The minimum sample sizes and acceptance numbers are obtained satisfying producer’s and consumer’s risk at certain levels of acceptable (AQL) and tolerable quality (RQL). The main advantages of proposed scheme are (i) data is selected by using free cost sampling method from a large lot and (ii) all units of selected lot are used in making decision. The probability & distribution functions for proposed mean ranked set sampling plan are derived. The OC values comparison with simple random sampling is presented. It is shown that the tables presented here can be used if mean life of units are chosen as a criterion.Syed Adil HussainIshfaq AhmadAamir SaghirMuhammad AslamIbrahim M. AlmanjahieElsevierarticleProducer’s riskConsumer’s riskMeans ranked sampling plansRanked set samplingExponential distributionEngineering (General). Civil engineering (General)TA1-2040ENAin Shams Engineering Journal, Vol 12, Iss 4, Pp 4125-4131 (2021)
institution DOAJ
collection DOAJ
language EN
topic Producer’s risk
Consumer’s risk
Means ranked sampling plans
Ranked set sampling
Exponential distribution
Engineering (General). Civil engineering (General)
TA1-2040
spellingShingle Producer’s risk
Consumer’s risk
Means ranked sampling plans
Ranked set sampling
Exponential distribution
Engineering (General). Civil engineering (General)
TA1-2040
Syed Adil Hussain
Ishfaq Ahmad
Aamir Saghir
Muhammad Aslam
Ibrahim M. Almanjahie
Mean ranked acceptance sampling plan under exponential distribution
description This study proposes a new acceptance sampling scheme, namely mean ranked sampling scheme, for efficient decision of statistical quality control. The proposed scheme is based on ranked set sampling under exponential distribution for acceptance or rejection of a lot. Two-point method on operating characteristic function is used for the derivation of plan parameters assuming approximation of exponential to normal distribution. The minimum sample sizes and acceptance numbers are obtained satisfying producer’s and consumer’s risk at certain levels of acceptable (AQL) and tolerable quality (RQL). The main advantages of proposed scheme are (i) data is selected by using free cost sampling method from a large lot and (ii) all units of selected lot are used in making decision. The probability & distribution functions for proposed mean ranked set sampling plan are derived. The OC values comparison with simple random sampling is presented. It is shown that the tables presented here can be used if mean life of units are chosen as a criterion.
format article
author Syed Adil Hussain
Ishfaq Ahmad
Aamir Saghir
Muhammad Aslam
Ibrahim M. Almanjahie
author_facet Syed Adil Hussain
Ishfaq Ahmad
Aamir Saghir
Muhammad Aslam
Ibrahim M. Almanjahie
author_sort Syed Adil Hussain
title Mean ranked acceptance sampling plan under exponential distribution
title_short Mean ranked acceptance sampling plan under exponential distribution
title_full Mean ranked acceptance sampling plan under exponential distribution
title_fullStr Mean ranked acceptance sampling plan under exponential distribution
title_full_unstemmed Mean ranked acceptance sampling plan under exponential distribution
title_sort mean ranked acceptance sampling plan under exponential distribution
publisher Elsevier
publishDate 2021
url https://doaj.org/article/ca1a46fe26644f1995422ecc3523b5a1
work_keys_str_mv AT syedadilhussain meanrankedacceptancesamplingplanunderexponentialdistribution
AT ishfaqahmad meanrankedacceptancesamplingplanunderexponentialdistribution
AT aamirsaghir meanrankedacceptancesamplingplanunderexponentialdistribution
AT muhammadaslam meanrankedacceptancesamplingplanunderexponentialdistribution
AT ibrahimmalmanjahie meanrankedacceptancesamplingplanunderexponentialdistribution
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