The Marshall-Olkin Weibull-Lomax distribution: properties and applications

Document Type : Original Article

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Department of Statistical Azhar University

10.21608/espesl.2025.414493.1161

Abstract

ABSTRACT: -We are introducing a new flexible five parameters lifetime distribution called Marshall-Olkin Weibull-Lomax distribution. Some properties of the distribution such as the quantile function, moments, order statistics are derived. The unknown parameters of the new distribution are estimated using the maximum likelihood method. Monte Carlo simulation study is carried out to estimate the parameters and the performance of the estimates is judged via the average biases , mean squared error values and confidence interval. The usefulness of the proposed model is illustrated via real-life data set.
In fact, there are hundreds of continuous univariate distributions. However, in recent years, applications from the environmental, financial, biomedical sciences, engineering among others, have further shown that data sets following the classical distributions are more often the exception rather than the reality. Since there is a clear need for extended forms of these distributions a significant progress has been made toward the generalization of some well-known distributions and their successful application to problems in areas such as engineering, finance, economics and biomedical sciences, among others.

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