Design of Multiple Dependent State Sampling Plan Application for COVID-19 Data Using Exponentiated Weibull Distribution

The proposed sampling plan in this article is referred to as multiple dependent state (MDS) sampling plans, for rejecting a lot based on properties of the current and preceding lot sampled. The median life of the product for the proposed sampling plan is assured based on a time-truncated life test,...

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Main Authors: Srinivasa Rao Gadde, Arnold K. Fulment, Josephat K. Peter
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2021/2795078
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author Srinivasa Rao Gadde
Arnold K. Fulment
Josephat K. Peter
author_facet Srinivasa Rao Gadde
Arnold K. Fulment
Josephat K. Peter
author_sort Srinivasa Rao Gadde
collection DOAJ
description The proposed sampling plan in this article is referred to as multiple dependent state (MDS) sampling plans, for rejecting a lot based on properties of the current and preceding lot sampled. The median life of the product for the proposed sampling plan is assured based on a time-truncated life test, when a lifetime of the product follows exponentiated Weibull distribution (EWD). For the proposed plan, optimal parameters such as the number of preceding lots required for deciding whether to accept or reject the current lot, sample size, and rejection and acceptance numbers are obtained by the approach of two points on the operating characteristic curve (OC curve). Tables are constructed for various combinations of consumer and producer’s risks for various shape parameters. The proposed MDS sampling plan for EWD is demonstrated using the coronavirus (COVID-19) outbreak in China. The performance of the proposed sampling plan is compared with the existing single-sampling plan (SSP) when the quality of the product follows EWD.
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issn 1099-0526
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spelling doaj-art-c3b359fdc3f24e55a507202e4d4d982b2025-02-03T01:25:49ZengWileyComplexity1099-05262021-01-01202110.1155/2021/2795078Design of Multiple Dependent State Sampling Plan Application for COVID-19 Data Using Exponentiated Weibull DistributionSrinivasa Rao Gadde0Arnold K. Fulment1Josephat K. Peter2Department of Mathematics and StatisticsDepartment of Mathematics and StatisticsDepartment of Mathematics and StatisticsThe proposed sampling plan in this article is referred to as multiple dependent state (MDS) sampling plans, for rejecting a lot based on properties of the current and preceding lot sampled. The median life of the product for the proposed sampling plan is assured based on a time-truncated life test, when a lifetime of the product follows exponentiated Weibull distribution (EWD). For the proposed plan, optimal parameters such as the number of preceding lots required for deciding whether to accept or reject the current lot, sample size, and rejection and acceptance numbers are obtained by the approach of two points on the operating characteristic curve (OC curve). Tables are constructed for various combinations of consumer and producer’s risks for various shape parameters. The proposed MDS sampling plan for EWD is demonstrated using the coronavirus (COVID-19) outbreak in China. The performance of the proposed sampling plan is compared with the existing single-sampling plan (SSP) when the quality of the product follows EWD.http://dx.doi.org/10.1155/2021/2795078
spellingShingle Srinivasa Rao Gadde
Arnold K. Fulment
Josephat K. Peter
Design of Multiple Dependent State Sampling Plan Application for COVID-19 Data Using Exponentiated Weibull Distribution
Complexity
title Design of Multiple Dependent State Sampling Plan Application for COVID-19 Data Using Exponentiated Weibull Distribution
title_full Design of Multiple Dependent State Sampling Plan Application for COVID-19 Data Using Exponentiated Weibull Distribution
title_fullStr Design of Multiple Dependent State Sampling Plan Application for COVID-19 Data Using Exponentiated Weibull Distribution
title_full_unstemmed Design of Multiple Dependent State Sampling Plan Application for COVID-19 Data Using Exponentiated Weibull Distribution
title_short Design of Multiple Dependent State Sampling Plan Application for COVID-19 Data Using Exponentiated Weibull Distribution
title_sort design of multiple dependent state sampling plan application for covid 19 data using exponentiated weibull distribution
url http://dx.doi.org/10.1155/2021/2795078
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AT josephatkpeter designofmultipledependentstatesamplingplanapplicationforcovid19datausingexponentiatedweibulldistribution