Paper Info
Title
A unified semi-analytical technique to evaluate the distributions of products of non-identically distributed Weibull random variables
Abstract
In this paper we derived the probability density function of the product of independent non-identically distributed Weibull RVs. The derivation is based on the use of the Mellin transformation along with the Residue theorem to evaluate the attained complex integral. The resultant integrands have only elementary functions, such as exponentials and algebraic power functions and can, therefore, be explicitly evaluated to any degree of accuracy using any symbolic mathematics based software. The distribution of the product of independent and identically distributed (i.i.d) Weibull RVs are also evaluated. The proposed method avoids the computational burden of residuals of a product of functions. Hence our results are expected to be of significant practical use to evaluate the error rate performance of any Mary orthogonal faded systems in indoor and outdoor wireless environments.
Year
DOI
Venue
2014
10.1109/WCNC.2014.6952087
Wireless Communications and Networking Conference
Keywords
Field
DocType
Weibull distribution,fading channels,probability,Mary orthogonal faded systems,Mellin transformation,Residue theorem,complex integral,error rate performance,indoor wireless environment,nonidentically distributed Weibull random variables,outdoor wireless environment,probability density function,product distributions,unified semianalytical technique,Weibull distribution,channel modeling and characterization,wireless communications
Applied mathematics,Random variable,Exponential function,Elementary function,Residue theorem,Weibull distribution,Weibull fading,Real-time computing,Independent and identically distributed random variables,Statistics,Probability density function,Mathematics
Conference
ISSN
Citations 
PageRank 
1525-3511
0
0.34
References 
Authors
10
2
Name
Order
Citations
PageRank
Yazan H. Al-Badarneh110.70
Mahmoud A. Smadi2495.79