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Research Article Open access CC BY 4.0

Modelling Mother-To-Child HIV Transmission Rate in Nigeria Using a Lindley-Lomax Distribution

Blessing Uke Agbor, Umar Farouk Abbas, Sabo Hamma, Felix Kromtit Makmun, Pam Douglas Jah, Tisloh Israel Mark

Asian Journal of Probability and Statistics · pp. 184–199 · Published 22 Dec 2022

10.9734/ajpas/2022/v20i4448

Abstract

In this research a new extension of the Lomax distribution known as Lindley-Lomax distribution has been proposed by adding a shape parameter to the Lomax distribution using the Lindley-G family of distributions. The proposed article considered and extensively studied some properties of the new distribution such as moments, moment generating function, the characteristics function, survival function, hazard function and the distribution of order statistics. A graphical study of the proposed distribution and the other related functions was also done in the article. Estimation of the parameters of the proposed distribution was also done using the method of maximum likelihood estimation. The performance of the Lindley-Lomax distribution has also been tested by an application to the rate of mother-to-child HIV transmission.

Lindley distribution lomax distribution lindley-lomax distribution statistical properties parameter estimation HIV data application

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