The New Bivariate Odd Generalized Exponential Modified Weibull Distribution with Application

نوع المستند : المقالة الأصلية

المؤلفون

1 قسم الاخصاء، الرياضة والتأمين کلية التجارة جامعة بنها

2 کلية التجارة جامعة بنها

3 قسم الإحصاء والرياضة والتأمين کلية التجارة جامعة بنها

المستخلص

In this paper, we introduce a new bivariate odd generalized exponential modified Weibull (BOGEMW) distribution. This model includes some other well-known models such as the Weibull, generalized Weibull, exponential Weibull, Odd Generalized Exponential, and Modified Weibull distribution. The model introduced here is of Marshall and Olkin (1967) type. The marginals of the new bivariate distribution have odd generalized exponential modified Weibull distribution which proposed by Abdelall (2016). The joint probability density function and the joint cumulative distribution function are given in closed forms. Several properties of the new distribution are studied. The method of maximum likelihood is used for estimating the model parameters and the observed Fisher's information matrix is derived. We also conduct Monte Carlo simulation experiments to assess the finite sample properties of the proposed estimation methods. We prove empirically the importance and flexibility of the new model in modeling various types of data.

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