元件服从广义四参数BS分布的串联和并联系统寿命的随机比较  

Stochastic Comparisons of Parallel and Series Systems with Heterogeneous Generalized Four-Parameter Birnbaum-Saunders Components

作　　者：凌洁 刘玉林[1] 方龙祥[2] Ling Jie;Liu Yulin;Fang Longxiang(Anhui Business College,Wuhu 241002,China;Anhui Normal University,Wuhu 241002,China)

机构地区：[1]安徽商贸职业技术学院,安徽芜湖241002 [2]安徽师范大学,安徽芜湖241002

出　　处：《廊坊师范学院学报（自然科学版）》2024年第3期37-41,52,共6页Journal of Langfang Normal University(Natural Science Edition)

基　　金：安徽省高校自然科学研究重大项目“复杂网络视域下技术轨道识别方法与应用研究”(2023AH040319);安徽省高校中青年教师培养行动学科(专业)带头人培育项目(DTR2023092);芜湖市科技应用基础研究项目“基于文本挖掘和复杂网络的电商数据技术预测研究”(2022jc36);安徽商贸职业技术学院技术技能创新服务平台2021年应用研究项目“复杂网络视角下电商平台农产品竞争策略研究”(2021ZDG06)。

摘　　要：Birnbaum-Saunders疲劳寿命分布可用于描述因疲劳导致失效的产品的寿命特征,该分布已经成为可靠性统计分析中的常用分布之一。首先基于广义三参数BS分布,通过引入位置参数μ,得到广义四参数BS分布GBSII(α, β,μ, k);其次,以服从广义四参数BS分布的独立元件寿命为主体,研究它构成的串联系统和并联系统寿命的随机比较。分析结果可以更好地拟合失效产品的寿命规律。The Birnbaum-Saunders fatigue life distribution can be used to describe the life characteristics of products that fail due to fatigue,and this distribution has become one of the commonly used distributions in reliability statistical analysis.In this paper,based on the generalized three-parameter BS distribution,the generalized four-parameter BS distribution GBSI(a,β,μ,k)is obtained by introducing positional parametersμ.Secondly,stochastic comparisons of lifetimes of a series system and a parallel system are studied by taking the life of an independent component subject to the generalized four-parameter BS distribution as the main body.The analysis results in this paper can help better fit the life law of failure products.

关 键 词：广义四参数BS分布 次序统计量 普通随机序 优化序 

分 类 号：O212[理学—概率论与数理统计]