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New bivariate gamma types with MIMO application

Author

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  • A. Bekker
  • M. Arashi
  • J. T. Ferreira

Abstract

In this paper a bivariate gamma type distribution emanating from the diagonal elements of an inverse Wishart type distribution is developed; which in turn originates from the complex matrix variate elliptical class. From this, a bivariate Weibullised gamma type distribution is also presented, of which the bivariate Nakagami-m type is a special case. The derived results may be applied as decision statistics for a MIMO (multiple input multiple output) system with two transmit antennas. It is proposed that under this elliptical umbrella some performance measures such as the outage probability of MIMO systems can be analyzed in broad generality.

Suggested Citation

  • A. Bekker & M. Arashi & J. T. Ferreira, 2019. "New bivariate gamma types with MIMO application," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 48(3), pages 596-615, February.
    • Handle: RePEc:taf:lstaxx:v:48:y:2019:i:3:p:596-615
    DOI: 10.1080/03610926.2017.1417428
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    Cited by:

    1. Christian Caamaño-Carrillo & Javier E. Contreras-Reyes, 2022. "A Generalization of the Bivariate Gamma Distribution Based on Generalized Hypergeometric Functions," Mathematics, MDPI, vol. 10(9), pages 1-17, May.

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