© Adebisi A. Ogunde, Emmanuel F. Nymphas. Article available under the CC BY-SA 4.0 licence
ARTICLE
ABSTRACT
In this paper, we propose a new, four-parameter distribution with increasing, decreasing, bathtub-shaped and a unimodal failure rate, called the Inverse Power Lomax Poisson (IPLP) distribution. The new distribution combines Inverse Power Lomax (IPL) and Poisson distributions. We derive several properties of the new distribution: its probability density function, its reliability and failure rate functions, the quantiles, the stress-strength parameter, complete and incomplete moments, the moment generating function, the probability weighted moment, R?nyi and q-entropies, and order statistics. The study presents the estimation of the model’s parameters based on the maximum likelihood method. The applications of the new distribution are presented using two real data sets, showing its flexibility and potential in modelling lifetime data.
KEYWORDS
probability weighted moments, incomplete moments, quantile function, Renyi entropy.
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