A New Bivariate Distribution with Generalized Quadratic Hazard Rate Marginals | Science Publications

Journal of Mathematics and Statistics

Abdelfattah Mustafa¹ 

关键词: Bivariate Distributions;    Generalized Quadratic Hazard Rate Distribution;    Maximum Likelihood Estimators;    Information Matrix;   

DOI  :  10.3844/jmssp.2016.255.270

学科分类：社会科学、人文和艺术（综合）

来源: Science Publications

【 摘 要 】

Recently, Sarhan (2009) introduced a new distribution named generalized quadratic hazard rate distribution. In this study, we define a bivariate Generalized Quadratic Hazard Rate Distribution (BGQHRD). The joint cumulative distribution function and joint survival function are derived in compact forms. Several properties of BGQFRD have been discussed. The conditional probability density function, rth moments and joint and marginal moment generating functions are obtained. Parameters estimators using the maximum likelihood method are obtained. A numerical illustration is used to obtain maximum likelihood estimators (MLEs). Moreover, we study the behavior of the estimators numerically.

【 授权许可】

Unknown