The New Weibull-Pareto Distribution

Abstract

A new distribution, the New Weibull-Pareto, is defined and studied. Various properties of the distributions are obtained and the method of maximum likelihood used to estimate the parameters of the distribution. The usefulness of the distribution has also been demonstrated by applying it to real life data.

The Weibull-Exponential Distribution: Its Properties and Applications

“…14. By the method of Maximum Likelihood Estimation (MLE), the likelihood function is given by: Applied Sci., 15 (11): 1305-1311, 2015 The log-likelihood function, l is expressed as:…”

“…The reason is that, about three different forms of such class of distribution have been observed (Alzaatreh et al, 2013;Bourguignon et al, 2014;Nasiru and Luguterah, 2015).…”

“…Another form of Weibull-G family of distribution was used by Nasiru and Luguterah (2015) and the cdf is given by Eq. 8:…”

“…The form of the Weibull-G family of distribution in Eq. 8 was used to define and study the New Weibull Pareto Distribution (NWPD) by Nasiru and Luguterah (2015).…”

Variable Control Charts Based on Percentiles of the New Weibull-Pareto Distribution

“…The other distributional properties are thoroughly discussed by Nasiru and Luguterah (2015) [8]. Skewed distributions to develop statistical quality control methods are attempted by many authors.…”