Modelling Mother-To-Child HIV Transmission Rate in Nigeria Using a Lindley-Lomax Distribution
Blessing Uke Agbor *
Department of Mathematical Science, Abubakar Tafawa Balewa University, P. M. B 0248, Bauchi, Nigeria.
Umar Farouk Abbas
Department of Mathematical Science, Abubakar Tafawa Balewa University, P. M. B 0248, Bauchi, Nigeria.
Sabo Hamma
Department of Mathematical Science, Abubakar Tafawa Balewa University, P. M. B 0248, Bauchi, Nigeria.
Felix Kromtit Makmun
Department of Mathematical Science, Abubakar Tafawa Balewa University, P. M. B 0248, Bauchi, Nigeria.
Pam Douglas Jah
Department of Mathematical Science, Abubakar Tafawa Balewa University, P. M. B 0248, Bauchi, Nigeria.
Tisloh Israel Mark
Department of Mathematical Science, Abubakar Tafawa Balewa University, P. M. B 0248, Bauchi, Nigeria.
*Author to whom correspondence should be addressed.
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.
Keywords: Lindley distribution, lomax distribution, lindley-lomax distribution, statistical properties, parameter estimation, HIV data, application
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References
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