Heba Soltan Mohamed, M. Masoom Ali, Haitham M. Yousof
{"title":"The Lindley Gompertz Model for Estimating the Survival Rates: Properties and Applications in Insurance","authors":"Heba Soltan Mohamed, M. Masoom Ali, Haitham M. Yousof","doi":"10.1007/s40745-022-00450-4","DOIUrl":null,"url":null,"abstract":"<div><p>This paper introduces a new extension of the Gompertz function for estimating the survival rates. The actual survival rates from USA life tables 2015 is considered for assessment process under the ordinary least squares method. A real data application is presented under the maximum likelihood method. The new Gompertz function is compared with many other competitive ones such as the Gompertz, the exponentiated Gompertz, the Rayleigh Gompertz, Weibull Gompertz, the Burr type X Gompertz and Rayleigh generalized Gompertz models.</p></div>","PeriodicalId":36280,"journal":{"name":"Annals of Data Science","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2022-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"15","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of Data Science","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s40745-022-00450-4","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Decision Sciences","Score":null,"Total":0}
引用次数: 15
Abstract
This paper introduces a new extension of the Gompertz function for estimating the survival rates. The actual survival rates from USA life tables 2015 is considered for assessment process under the ordinary least squares method. A real data application is presented under the maximum likelihood method. The new Gompertz function is compared with many other competitive ones such as the Gompertz, the exponentiated Gompertz, the Rayleigh Gompertz, Weibull Gompertz, the Burr type X Gompertz and Rayleigh generalized Gompertz models.
期刊介绍：
Annals of Data Science (ADS) publishes cutting-edge research findings, experimental results and case studies of data science. Although Data Science is regarded as an interdisciplinary field of using mathematics, statistics, databases, data mining, high-performance computing, knowledge management and virtualization to discover knowledge from Big Data, it should have its own scientific contents, such as axioms, laws and rules, which are fundamentally important for experts in different fields to explore their own interests from Big Data. ADS encourages contributors to address such challenging problems at this exchange platform. At present, how to discover knowledge from heterogeneous data under Big Data environment needs to be addressed. ADS is a series of volumes edited by either the editorial office or guest editors. Guest editors will be responsible for call-for-papers and the review process for high-quality contributions in their volumes.
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