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The extended generalized inverted Kumaraswamy Weibull distribution: Properties and applications

Qasim Ramzan, Muhammad Amin, Ahmed Elhassanein, Muhammad Ikram

2021AIMS Mathematics23 citationsDOIOpen Access PDF

Abstract

<abstract> In this paper we introduce a new six-parameters extension of the Weibull distribution. It will be called the extended generalized inverted Kumaraswamy Weibull (EGIKw-Weibull), that is commonly used to model lifetime data. Various useful properties of the new distribution are derived. A Monte Carlo simulation is employed to investigate the maximum likelihood estimator (MLE) for the parameters. Two real applications are presented. </abstract>

Topics & Concepts

Weibull distributionExponentiated Weibull distributionWeibull modulusEstimatorMathematicsStatisticsApplied mathematicsMonte Carlo methodExtension (predicate logic)Weibull fadingComputer scienceStatistical physicsPhysicsFadingProgramming languageDecoding methodsRayleigh fadingStatistical Distribution Estimation and ApplicationsProbabilistic and Robust Engineering DesignHydrology and Drought Analysis