Abstract
The authors acknowledge the support of the StatDisT group. This work is based on the research supported in part by the National Research Foundation of South Africa (SARChI Research Chair- UID: 71199; and Grant ref. CPRR160403161466 nr. 105840).
Highlights
Bivariate probability distributions have received significant attention in literature, and even more so within the context of wireless systems
Bivariate gamma distributions are used to describe the fading of signal channels between either two transmitters or two receivers - in the modeling of dual-antenna wireless systems operating over correlated branches
This paper proposes a new class of bivariate gamma distributions emanating from the elliptical arena, thereby creating versatile bivariate distributions
Summary
Bivariate probability distributions have received significant attention in literature (see [1]), and even more so within the context of wireless systems (see [14], [18], [17], [5], [25], [6], [22], [11], [2]). It is obtained as a transformation from a bivariate gamma distributed variable; to this effect, a bivariate Weibullised gamma type distribution is proposed with a bivariate Nakagami type distribution as special case Via these contributions we don’t only gain valuable insight into the distributional structure of these distributions, and expand the knowledge base of alternative candidates for modeling within the wireless communications domain; and the results in this paper may be used for analyzing dual-antenna systems. BIVARIATE GAMMA TYPE DISTRIBUTIONS regarding the assumption of the underlying normality of fading channels, noting that Rayleigh fading stems from normal random processes. Referred to as a Rayleigh type distribution This is used as a departure point from where we systematically construct bivariate gamma type distributions with their origins following this elliptical assumption. A bivariate gamma type distribution is developed and particular characteristics originating from the elliptical distribution, with the work of [18] as a special case; 2. The Appendix contains simplified results of interest to this paper
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