{"title":"A Novel G Family for Single Acceptance Sampling Plan with Application in Quality and Risk Decisions","authors":"Basma Ahmed, M. Masoom Ali, Haitham M. Yousof","doi":"10.1007/s40745-022-00451-3","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper we present a new G family of probability distributions. Some of its mathematical properties are derived. Based on a special member of the new family, a single acceptance sampling plan is considered. The issue of a single sample plan when the lifetime test is truncated at a pre-determined period is discussed. For certain different acceptance levels, confidence limits and values ratio of time and the sample size is desired to assure the estimated fixed mean life. The results of lowest ratio of actual mean life to fixed mean life that confirms acceptance with a given probability are presented. A case study is presented for this purpose.</p></div>","PeriodicalId":36280,"journal":{"name":"Annals of Data Science","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2022-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of Data Science","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s40745-022-00451-3","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Decision Sciences","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper we present a new G family of probability distributions. Some of its mathematical properties are derived. Based on a special member of the new family, a single acceptance sampling plan is considered. The issue of a single sample plan when the lifetime test is truncated at a pre-determined period is discussed. For certain different acceptance levels, confidence limits and values ratio of time and the sample size is desired to assure the estimated fixed mean life. The results of lowest ratio of actual mean life to fixed mean life that confirms acceptance with a given probability are presented. A case study is presented for this purpose.
本文介绍了一种新的 G 概率分布族。并推导出其部分数学特性。基于新系列的一个特殊成员，我们考虑了单一验收抽样计划。本文讨论了当寿命测试被截断在一个预定周期时的单一抽样计划问题。对于某些不同的验收水平、置信限和时间值与样本量之比，需要确保估计的固定平均寿命。文中给出了实际平均寿命与固定平均寿命的最低比率，该比率以给定的概率证实了验收结果。为此提出了一个案例研究。
期刊介绍：
Annals of Data Science (ADS) publishes cutting-edge research findings, experimental results and case studies of data science. Although Data Science is regarded as an interdisciplinary field of using mathematics, statistics, databases, data mining, high-performance computing, knowledge management and virtualization to discover knowledge from Big Data, it should have its own scientific contents, such as axioms, laws and rules, which are fundamentally important for experts in different fields to explore their own interests from Big Data. ADS encourages contributors to address such challenging problems at this exchange platform. At present, how to discover knowledge from heterogeneous data under Big Data environment needs to be addressed. ADS is a series of volumes edited by either the editorial office or guest editors. Guest editors will be responsible for call-for-papers and the review process for high-quality contributions in their volumes.
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