English

On Bivariate Generalized Exponential-Power Series Class of Distributions

Computation 2015-08-04 v1 Statistics Theory Statistics Theory

Abstract

In this paper, we introduce a new class of bivariate distributions by compounding the bivariate generalized exponential and power-series distributions. This new class contains some new sub-models such as the bivariate generalized exponential distribution, the bivariate generalized exponential-poisson, -logarithmic, -binomial and -negative binomial distributions. We derive different properties of the new class of distributions. The EM algorithm is used to determine the maximum likelihood estimates of the parameters. We illustrate the usefulness of the new distributions by means of an application to a real data set.

Keywords

Cite

@article{arxiv.1508.00219,
  title  = {On Bivariate Generalized Exponential-Power Series Class of Distributions},
  author = {Ali Akbar Jafari and Rasool Roozegar},
  journal= {arXiv preprint arXiv:1508.00219},
  year   = {2015}
}

Comments

arXiv admin note: text overlap with arXiv:1507.07535