A New Two-Parameter Lifetime Model with Statistical Properties and Applications-Reference-Cited by-同舟云学术

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

Published:2023-03-29 Issue: Volume:22 Page:213-223
ISSN:2224-2880
Container-title:WSEAS TRANSACTIONS ON MATHEMATICS
language:en
Short-container-title:

Author:

Alsadat Najwan¹

Affiliation:

1. Department of Quantitative Analysis, College of Business Administration, King Saud University, P.O. Box 2455, Riyadh, 11451, SAUDI ARABIA

Abstract

A 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. Finally, we demonstrate applications of two real-world data sets to show the flexibility and potentiality of the proposed model.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

General Mathematics

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