A New Bivariate Distribution with Generalized Quadratic Hazard Rate Marginals
Abdelfattah Mustafa1 Show affiliations
- Mansoura University, Egypt
Journal of Mathematics and Statistics, Volume 12, Issue 4, pp. 255–270 · doi.org/10.3844/jmssp.2016.255.270
Abstract
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.
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Mustafa, A. (2016). A New Bivariate Distribution with Generalized Quadratic Hazard Rate Marginals. Journal of Mathematics and Statistics, 12(4), 255–270. https://doi.org/10.3844/jmssp.2016.255.270
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