The Beta Type I Generalized Half Logistic Distribution: Properties and Application
P. O. Awodutire *
Department of Mathematics and Statistics, University of Port Harcourt, Port Harcourt, Nigeria.
E. C. Nduka
Department of Mathematics and Statistics, University of Port Harcourt, Port Harcourt, Nigeria.
M. A. Ijomah
Department of Mathematics and Statistics, University of Port Harcourt, Port Harcourt, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
In a view to obtain a new distribution that is more exible than the type I generalized half logistic distribution, we used the beta-G generator and the type I generalized half logistic distribution. Some properties of the new distribution including the cummulative distribution function,survival function, hazard function were studied. Estimation of parameters were done using the maximum likelihood estimation method. Application of the derived distribution to lifetime data was illustrated by applying to remission times of bladder cancer patient data and survival times of guinea pigs.
Keywords: Beta-G generator, type I generalized half logistic distribution, guinea pigs, bladder cancer.