EP寿命分布的图像特征绎尹真真袁徐晓岭袁顾蓓青渊上海对外经贸大学统计与信息学院袁上海201620冤摘要院针对指数-泊松分布袁首先袁结合已知定理证明了该分布各阶矩E渊xk冤的存在性曰其次袁研究了分布的变异系数尧偏度等数字特征与峰度姿参数的相关关系曰最后袁研究了分布失效率函数尧平均失效率函数和平均剩余寿命函数等的图像特征袁并证明了可靠性函数的单调性遥得到了如下结论院指数-泊松分布的各阶矩存在曰该分布的数字特征仅与参数姿有关袁与参数茁无关曰失效率函数和平均失效率函数单调递减袁平均剩余寿命函数单调递增遥关键词院指数-泊松分布曰数字特征曰寿命特征中图分类号院TB114.3文献标志码院A文章编号院1672-5468渊2023冤03-0035-06doi:10.3969/j.issn.1672-5468.2023.03.007ImageFeaturesofEPLifetimeDistributionYINZhenzhen袁XUXiaoling袁GUBeiqing渊SchoolofStatisticsandInformation袁ShanghaiUniversityofInternationalBusinessandEconomics袁Shanghai201620袁China冤Abstract院FortheExponential-Poissondistribution袁theexistenceofeverymomentE渊xk冤ofthedistributionisfirstprovedbycombiningtheknowntheorems.Secondly袁thecorrelationbetweenthenumericalcharacteristicsofcoefficientofvariation袁skewnessandkurtosisandtheparameter姿ofthedistributionisstudied.Finally袁theimagefeaturesoffailureratefunction袁averagefailureratefunctionandaverageremaininglifefunctionarestudied袁andthemonotonicityofthereliabilityfunctionisimproved.Thefollowingconclusionsareobtained院theExponential-Poissondistribution爷smomentsexist曰thenumericalcharacteristicsofthedistributionareonlyrelatedtotheparameter姿袁buthavenothingtodowiththeparameter茁曰thefailureratefunctionandtheaveragefailureratefunctiondecreasemonotonically袁andtheaverageremaininglifefunctionincreasesmonotonically.Keywords院Exponential-Poissondistribution曰digitalfeatures曰lifecharacteristics绎基金项目院国家自然科学基金项目渊11671264冤资助遥收稿日期院2020-03-20作者简介院尹真真渊1998要冤袁女袁山东济宁人袁上海对外经贸大学统计与信息学院硕士研究生袁研究方向为数理统计遥电子产品可靠性与环境试验耘蕴耘悦栽砸韵晕陨悦孕砸韵阅哉悦栽砸耘L陨粤月陨蕴I栽再粤晕阅耘晕灾陨R韵晕酝耘晕栽粤蕴栽耘杂栽陨晕郧可靠性...
