{"title":"一类新的累积寿命分布在软件可靠性分析中的应用","authors":"N. Pavlov, A. Iliev, A. Rahnev, N. Kyurkchiev","doi":"10.12732/CAA.V22I4.4","DOIUrl":null,"url":null,"abstract":"In this paper we consider the application of a a new class of cumulative distribution function proposed by Ramos, Dey, Louzada and Lachos in [9] to the debugging theory. We study the Hausdorff approximation of the shifted Heaviside step function by this family. Numerical examples, illustrating our results are presented using programming environment Mathematica. We give also real examples with data provided in [30] using the new software reliability model. Dataset included [31] Year 2000 compatibility modifications, operating system upgrade, and signaling message processing. AMS Subject Classification: 68N30, 41A46","PeriodicalId":92887,"journal":{"name":"Communications in applied analysis","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2018-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"APPLICATION OF A NEW CLASS CUMULATIVE LIFETIME DISTRIBUTION TO SOFTWARE RELIABILITY ANALYSIS\",\"authors\":\"N. Pavlov, A. Iliev, A. Rahnev, N. Kyurkchiev\",\"doi\":\"10.12732/CAA.V22I4.4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we consider the application of a a new class of cumulative distribution function proposed by Ramos, Dey, Louzada and Lachos in [9] to the debugging theory. We study the Hausdorff approximation of the shifted Heaviside step function by this family. Numerical examples, illustrating our results are presented using programming environment Mathematica. We give also real examples with data provided in [30] using the new software reliability model. Dataset included [31] Year 2000 compatibility modifications, operating system upgrade, and signaling message processing. AMS Subject Classification: 68N30, 41A46\",\"PeriodicalId\":92887,\"journal\":{\"name\":\"Communications in applied analysis\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-10-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications in applied analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12732/CAA.V22I4.4\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in applied analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12732/CAA.V22I4.4","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
APPLICATION OF A NEW CLASS CUMULATIVE LIFETIME DISTRIBUTION TO SOFTWARE RELIABILITY ANALYSIS
In this paper we consider the application of a a new class of cumulative distribution function proposed by Ramos, Dey, Louzada and Lachos in [9] to the debugging theory. We study the Hausdorff approximation of the shifted Heaviside step function by this family. Numerical examples, illustrating our results are presented using programming environment Mathematica. We give also real examples with data provided in [30] using the new software reliability model. Dataset included [31] Year 2000 compatibility modifications, operating system upgrade, and signaling message processing. AMS Subject Classification: 68N30, 41A46