统计学报2024,Vol.5Issue(3) :76-94.DOI:10.19820/j.cnki.ISSN2096-7411.2024.03.007

一种新型可靠性抽样设计方法——基于经济优化视角

A Novel Approach to Reliability Sampling Design——Based on the Perspective of Economic Optimization

孙小素 尚书钰
统计学报2024,Vol.5Issue(3) :76-94.DOI:10.19820/j.cnki.ISSN2096-7411.2024.03.007

一种新型可靠性抽样设计方法——基于经济优化视角

A Novel Approach to Reliability Sampling Design——Based on the Perspective of Economic Optimization

孙小素 1尚书钰2
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作者信息

  • 1. 山东工商学院统计学院,山东烟台 264005
  • 2. 山东工商学院经济学院,山东烟台 264005
  • 折叠

摘要

混合截尾可以看作是一型截尾及二型截尾的拓展,常用于可靠性试验.然而,在规定时间上限内,当产品失效数远小于截尾数时,现有的可靠性抽样方案可能存在推断偏误.因此,结合已有研究,立足混合截尾,基于经济视角设计出混合截尾下一种新型可靠性抽样方案.通过一系列对比分析,发现新方案可在保留原方案小样本量优点的同时增强判定的可靠性.从缩减企业检验成本的角度出发,应在试验前使检验时间上限尽可能小、截尾度尽可能大.从科学性及实用性角度综合考虑,该方案展现出较优的性质,值得推广使用.

Abstract

Hybrid censoring can be regarded as the extension of type-I and type-Ⅱ censoring,commonly used in reliability testing.However,when the number of product failures was far less than the number of censored observations within a specified time upper limit,existing reliability sampling schemes may suffer from inferential biases.Therefore,building upon prior research and focusing on hybrid censoring,this paper attempted to design a new reliability sampling scheme from an economic perspective.Through a series of comparative analysis,it was found that the new scheme could enhance reliability determination while retaining the advantage of small sample sizes inherent in the original schemes.From the standpoint of reducing inspection costs for enterprises,the upper limit of test time should be minimized and the degree of censoring maximized before the experiment.Taking into account both scientific rigor and practicality,this scheme exhibited superior characteristics and was worthy of broader adoption.

关键词

可靠性抽样检验/混合截尾/经济性/抽样成本

Key words

reliability sampling rest/hybrid censoring/economic efficiency/sampling cost

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基金项目

国家自然科学基金青年基金(72102129)

出版年

2024
统计学报

统计学报

ISSN:
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