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Log-Kumaraswamy distribution: its features and applications

Aliyu Ismail Ishaq, Ahmad Abubakar Suleiman, Hanita Daud, Narinderjit Singh Sawaran Singh, Mahmod Othman, Rajalingam Sokkalingam, Pitchaya Wiratchotisatian, A. G. Usman, Sani I. Abba

2023Frontiers in Applied Mathematics and Statistics18 citationsDOIOpen Access PDF

Abstract

This article aimed to present a new continuous probability density function for a non-negative random variable that serves as an alternative to some bounded domain distributions. The new distribution, termed the log-Kumaraswamy distribution, could faithfully be employed to compete with bounded and unbounded random processes. Some essential features of this distribution were studied, and the parameters of its estimates were obtained based on the maximum product of spacing, least squares, and weighted least squares procedures. The new distribution was proven to be better than traditional models in terms of flexibility and applicability to real-life data sets.

Topics & Concepts

MathematicsBounded functionApplied mathematicsProbability density functionRandom variableDistribution (mathematics)Probability integral transformProbability distributionStatisticsAlgorithmMathematical optimizationMoment-generating functionMathematical analysisStatistical Distribution Estimation and ApplicationsProbabilistic and Robust Engineering DesignStatistical Methods and Bayesian Inference