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On a general structure of the bivariate FGM type distributions

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Abstract

In this paper, we study a general structure for the so-called Farlie-Gumbel-Morgenstern (FGM) family of bivariate distributions. Through examples we show how to use the proposed structure to study dependence properties of the FGM type distributions by a general approach.

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Authors and Affiliations

  1. Department of Statistics, Yazd University, Yazd, 89195-741, Iran

    Sayed Mohsen Mirhosseini & Ali Dolati

  2. Department of Statistics, Ordered and Spatial Data Center of Excellence, Ferdowsi University of Mashhad, P.O. Box 1159, Mashhad, 91775, Iran

    Mohammad Amini

Authors
  1. Sayed Mohsen Mirhosseini
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  2. Mohammad Amini
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  3. Ali Dolati
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Corresponding author

Correspondence to Sayed Mohsen Mirhosseini.

Additional information

We acknowledge the helpful comments of the reviewers that led to several improvements in this paper. This research was supported by a grant from Ferdowsi University of Mashhad (No. MS92298AMI).

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Mirhosseini, S.M., Amini, M. & Dolati, A. On a general structure of the bivariate FGM type distributions. Appl Math 60, 91–108 (2015). https://doi.org/10.1007/s10492-015-0086-6

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  • DOI: https://doi.org/10.1007/s10492-015-0086-6

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