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ISSN: 1549-3644 (Print)
ISSN: 1558-6359 (Online)
Research Article Open Access

A New Bivariate Distribution with Generalized Quadratic Hazard Rate Marginals

Abdelfattah Mustafa1
  • 1 Mansoura University, Egypt

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.

Journal of Mathematics and Statistics
Volume 12 No. 4, 2016, 255-270

DOI: https://doi.org/10.3844/jmssp.2016.255.270

Submitted On: 24 August 2016 Published On: 3 November 2016

How to Cite: 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

Open AccessCopyright: © 2016 Abdelfattah Mustafa. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Bivariate Distributions
  • Generalized Quadratic Hazard Rate Distribution
  • Maximum Likelihood Estimators
  • Information Matrix