{"title":"与拉普拉斯变换有关的随机阶次和老化特性的一些结果","authors":"Lazaros Kanellopoulos, Konstadinos Politis","doi":"10.1016/j.jspi.2024.106197","DOIUrl":null,"url":null,"abstract":"<div><p>We study some properties and relations for stochastic orders and aging classes related to the Laplace transform. In particular, we show that the NBU<span><math><msub><mrow></mrow><mrow><mtext>Lt</mtext></mrow></msub></math></span> class of distributions is closed under convolution. We also obtain results for the ratio of derivatives of the Laplace transform between two distributions.</p></div>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Some results for stochastic orders and aging properties related to the Laplace transform\",\"authors\":\"Lazaros Kanellopoulos, Konstadinos Politis\",\"doi\":\"10.1016/j.jspi.2024.106197\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We study some properties and relations for stochastic orders and aging classes related to the Laplace transform. In particular, we show that the NBU<span><math><msub><mrow></mrow><mrow><mtext>Lt</mtext></mrow></msub></math></span> class of distributions is closed under convolution. We also obtain results for the ratio of derivatives of the Laplace transform between two distributions.</p></div>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-06-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0378375824000545\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0378375824000545","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Some results for stochastic orders and aging properties related to the Laplace transform
We study some properties and relations for stochastic orders and aging classes related to the Laplace transform. In particular, we show that the NBU class of distributions is closed under convolution. We also obtain results for the ratio of derivatives of the Laplace transform between two distributions.
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