A New Two-Parameter Lifetime Model with Statistical Properties and Applications

200dd50b-cae3-45b3-9ac6-0961d6a11d3220230329080039386wseas:wseasmdt@crossref.orgMDT DepositWSEAS TRANSACTIONS ON MATHEMATICS2224-28801109-276910.37394/23206http://wseas.org/wseas/cms.action?id=4051919202291920222210.37394/23206.2023.22https://wseas.com/journals/mathematics/2023.phpA New Two-Parameter Lifetime Model with Statistical Properties and ApplicationsNajwanAlsadatDepartment of Quantitative Analysis, College of Business Administration, King Saud University, P.O. Box 2455, Riyadh, 11451, SAUDI ARABIAA new lifetime distribution called the truncated Cauchy power length-biased exponential (TCP-LBEX) distribution that extends the length-biased (LBEX) model is investigated. The statistical properties of the TCP-LBEX model including the quantile function, incomplete moment, moment, and entropy are derived. The method of maximum likelihood estimation was used to estimate the parameters of the TCP-LBEX. Monto Carlo simulations are used to assess the behavior of parameters. 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