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A new bivariate distribution with weighted exponential marginals and its multivariate generalization

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Abstract

Gupta and Kundu (Statistics 43:621–643, 2009) recently introduced a new class of weighted exponential distribution. It is observed that the proposed weighted exponential distribution is very flexible and can be used quite effectively to analyze skewed data. In this paper we propose a new bivariate distribution with the weighted exponential marginals. Different properties of this new bivariate distribution have been investigated. This new family has three unknown parameters, and it is observed that the maximum likelihood estimators of the unknown parameters can be obtained by solving a one-dimensional optimization procedure. We obtain the asymptotic distribution of the maximum likelihood estimators. Small simulation experiments have been performed to see the behavior of the maximum likelihood estimators, and one data analysis has been presented for illustrative purposes. Finally we discuss the multivariate generalization of the proposed model.

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Authors and Affiliations

  1. Department of Statistics and Operations Research, Faculty of Science, Kuwait University, P.O. Box 5969, 13060, Safat, Kuwait

    D. K. Al-Mutairi & M. E. Ghitany

  2. Department of Mathematics and Statistics, Indian Institute of Technology, Kanpur, 208016, India

    D. Kundu

Authors
  1. D. K. Al-Mutairi
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  2. M. E. Ghitany
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  3. D. Kundu
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Corresponding author

Correspondence to D. Kundu.

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Al-Mutairi, D.K., Ghitany, M.E. & Kundu, D. A new bivariate distribution with weighted exponential marginals and its multivariate generalization. Stat Papers 52, 921–936 (2011). https://doi.org/10.1007/s00362-009-0300-2

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  • DOI: https://doi.org/10.1007/s00362-009-0300-2

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