{"title":"The Normalizing Flow Function Model to Reliability Analysis of the Renewal Objects","authors":"A. Antonov, V. Chepurko","doi":"10.1109/SMRLO.2016.57","DOIUrl":null,"url":null,"abstract":"The paper considers a new mathematical model for calculating reliability coefficients of the systems (or elements) which probabilistic characteristics can vary in time. The systems with the operable state and the down state are considered. The new mathematical model can take into account possible \"distortions\" of an event flows by means of a normalizing flow function Ψ. The normalizing flow function model is presented. The equations for renewal function and failure intensity, distribution of counting process, generating function for the counting process, the Wald equation for NFF-model and limits theorems are deduced.","PeriodicalId":254910,"journal":{"name":"2016 Second International Symposium on Stochastic Models in Reliability Engineering, Life Science and Operations Management (SMRLO)","volume":"24 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2016 Second International Symposium on Stochastic Models in Reliability Engineering, Life Science and Operations Management (SMRLO)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SMRLO.2016.57","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The paper considers a new mathematical model for calculating reliability coefficients of the systems (or elements) which probabilistic characteristics can vary in time. The systems with the operable state and the down state are considered. The new mathematical model can take into account possible "distortions" of an event flows by means of a normalizing flow function Ψ. The normalizing flow function model is presented. The equations for renewal function and failure intensity, distribution of counting process, generating function for the counting process, the Wald equation for NFF-model and limits theorems are deduced.
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