2014•International Journal of Sciences: Basic and Applied ResearchOpen access

Kummer Beta -Weibull Geometric Distribution A New Generalization of Beta -Weibull Geometric Distribution

Samir Kamel Ashour, Mohamed Lotfy Abdel Wahed

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Abstract

A new distribution is defined which is called kummer beta -Weibull geometric (KBWG) distribution. KBWG distribution is considered a new generalization for beta-Weibull geometric distribution. Various properties of KBWG distribution are obtained. Moments and moment generating function are proposed. The method of maximum likelihood estimation is proposed for estimating the model parameters. A Numerical example is explained to illustrate the applications of the Kummer Beta -Weibull Geometric (KBWG) distribution.

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What this paper is about

A new distribution is defined which is called kummer beta -Weibull geometric (KBWG) distribution. KBWG distribution is considered a new generalization for beta-Weibull geometric distribution. Various properties of KBWG distribution are obtained. Moments and moment generating function are proposed. The method of maximum likelihood estimation is proposed for estimating the model parameters. A Numerical example is explained to illustrate the applications of the Kummer Beta -Weibull Geometric (KBWG) distribution.

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Available abstract

A new distribution is defined which is called kummer beta -Weibull geometric (KBWG) distribution. KBWG distribution is considered a new generalization for beta-Weibull geometric distribution. Various properties of KBWG distribution are obtained. Moments and moment generating function are proposed. The method of maximum likelihood estimation is proposed for estimating the model parameters. A Numerical example is explained to illustrate the applications of the Kummer Beta -Weibull Geometric (KBWG) distribution.

Key concepts: Weibull distribution, Log-Cauchy distribution, Mathematics, Generalized beta distribution, Weibull modulus, Exponentiated Weibull distribution, Generalization, Geometric distribution

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