{"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":50039,"journal":{"name":"Journal of Statistical Planning and Inference","volume":"234 ","pages":"Article 106197"},"PeriodicalIF":0.8000,"publicationDate":"2024-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Statistical Planning and Inference","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0378375824000545","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"STATISTICS & PROBABILITY","Score":null,"Total":0}
引用次数: 0
Abstract
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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