Odoma Distribution and Its Application
C. C. Odom *
Department of Mathematics and Statistics, University of Port Harcourt, Rivers State, Nigeria.
M. A. Ijomah
Department of Mathematics and Statistics, University of Port Harcourt, Rivers State, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
In this study, a new continuous one parameter lifetime distribution is proposed. Its mathematical properties such as moments, order statistics, entropy, survival function, hazard rate function and mean residual life function are derived. The new distribution is applied to real-life data from engineering and the method of maximum likelihood is used to estimate the parameter. The goodness-of-fit of the new distribution shows its better fit to the data than some competing distributions.
Keywords: Moment generating function, Rényi entropy, order statistics, reliability analysis, maximum likelihood estimation