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

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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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Acknowledgements

The authors would like to thank the anonymous referees for valuable comments and suggestions. This work was supported by the Research Council of Yazd University.

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Authors and Affiliations

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

    Rasool Roozegar & Ali Akbar Jafari

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  1. Rasool Roozegar
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  2. Ali Akbar Jafari
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Correspondence to Rasool Roozegar.

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Roozegar, R., Jafari, A.A. On Bivariate Generalized Linear Failure Rate-Power Series Class of Distributions. Iran J Sci Technol Trans Sci 41, 693–706 (2017). https://doi.org/10.1007/s40995-017-0297-7

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  • DOI: https://doi.org/10.1007/s40995-017-0297-7

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