On Bivariate Generalized Linear Failure Rate-Power Series Class of Distributions

Document Type : Regular Paper

Authors

1 Department of Statistics, College of Mathematics, Yazd University, Yazd, Iran.

2 Department of Statistics, Yazd University, Yazd, Iran

Abstract

Recently it has been observed that the bivariate generalized linear failure rate distribution
can be used quite effectively to analyze lifetime data in two dimensions. This paper
introduces a more general class of bivariate distributions. We refer to this new class of
distributions as bivariate generalized linear failure rate power series model. This new class
of bivariate distributions contains several lifetime models such as: generalized linear failure
rate-power series, bivariate generalized linear failure rate and bivariate generalized linear
failure rate geometric distributions as special cases among others. The construction and
characteristics of the proposed bivariate distribution are presented along with estimation
procedures for the model parameters based on maximum likelihood. The marginal and
conditional laws are also studied. We present an application to the real data set where our
model provides a better fit than other models.

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Iranian Journal of Science

Articles in Press, Accepted Manuscript
Available Online from 26 December 2015

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