A New Lifetime Model with a Bounded Support
Mustapha Muhammad *
Department of Mathematical Sciences, Bayero University Kano, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we introduce a new probability model with a bounded support which possesses an increasing and bathtub failure rate functions. Numerous properties such as the moments, moment generating function, mean deviations, order statistics, moments of order statistics, joint and conditional distributions of order statistics are explored in explicit form. Statistical inferences by maximum likelihood method is considered, and we used simulation studies to access the proposed estimation procedure. An application of the proposed model to a real data set is presented for illustration.
Keywords: Hazard function, moments, maximum likelihood estimation.