A Three – Parameter Sujatha distribution with Application (Published)
In this paper, a new three-parameter continuous probability distribution is proposed. The new distribution is a modification of ‘’A two-parameter generalization of Sujatha distribution (AGSD)’’ proposed by Shanker et al (2017). Some important statistical properties of the new distribution were derived. The shape of its probability density function is given for selected values of the parameters. The mathematical expression for the moment generating function, the first four raw moments and the distribution of order statistics has been established. The parameters of the new distribution were estimated using maximum likelihood method. The graph of the hazard function reveals that the distribution has an increasing hazard rate. The flexibility of the new distribution was demonstrated using a real life data set. The goodness of fit showed that the three-parameter distribution gave a better fit than the exponential, Akash, Shanker and Amarendra distributions for the data set used.
Keywords: Hazard function, Moment Generating Function, Order Statistics and Goodness of fit., Probability
Stochastic Modelling Of Human Under-Five Age Mortality With Spatially Structured County Frailty Effects In Kenya (Published)
Survival analysis examines and models the time it takes for events to occur. The prototypical such event is death, from which the name ‘survival analysis’ and much of its terminology derives. This research study develops a predictive model and considers the factors associated with under-five child mortality rates in Kenya in order to provide the solutions and interventions to organizations concerned with demographic data. As the human lifespan increases, more and more people are becoming interested in mortality. The aim of this study is to estimate the robust and reliable estimates of level and trend in under-five mortality in Kenya . Survival analysis techniques and frailty modeling will be used as the statistical tools for analyzing the time-event data. Both the survival parametric and non –parametric models and the frailty models will be fit to help us draw the required conclusions based on under-five child mortality rates. The results of this study will be used to assist in formulating appropriate health programs and policies that will reduce under-five human mortality.
Keywords: Frailty models, Hazard function, Parametric regression, Stochastic process