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Statistical Analysis of Nigerian Infant Mortality Rate Using a Lindley-Inverse Exponential Distribution

Makama Sani, Fadimatu Bawuro Mohammed, Tijani Mustapha, Ojodomo Emmanuel, Yusufu

Abstract

Infant mortality has become more prevalent due to lack of access to health care before, during and after delivery. This contributes to high infant mortality rates both in developing and under- developed countries, which is the case in Nigeria. Probability models, their properties and interrelationships are very significant in dealing with naturally occurring phenomena. A large number of distributions have been used over the past decades for modeling data in several fields; however, extending these standard distributions has produced several compound distributions that are more flexible compared to the baseline distributions. In this paper, a Lindley-inverse exponential distribution has been proposed and used to describe the infant mortality rate in Nigeria. The properties, estimation of parameters and application of the new distribution are presented and discussed in this paper. An application and investigation of the latest model was done using a dataset on the rate of infant mortality in Nigeria, and the result was compared with that of other related models.

Keywords

Lindley-G familyLindley-Inverse Exponential DistributionPropertiesMaximum Likelihood EstimationApplication to infant mortality data.

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