2024/07/14 by Shashank Shekhar, Sheetal Kalyani, Shekhar, Shashank +1
Computer Science · Decision Sciences · #Bayesian Methods and Mixture Models #FOS: Computer and information sciences #Information Theory (cs.IT) #Probability and Risk Models
paper · pdf · doi:10.48550/arxiv.2407.10250
openalex publication_date 2024/07/14 · openalex created_date 2024/07/17 · openalex updated_date 2026/07/28
This work studies the product and ratio statistics of independent and non-identically distributed (i.n.i.d) α-κ- μ shadowed random variables. We derive the series expression for the probability density function (PDF), cumulative distribution function (CDF), and moment generating function (MGF) of the product and ratio of i.n.i.d α- κ- μ shadowed random variables. We then give the single integral representation for the derived PDF expressions. Further, as application examples, 1) outage probability has been derived for cascaded wireless systems, and 2) physical-layer security metrics like secrecy outage probability and strictly positive secrecy capacity are derived for the classic three-node model with α-κ-μ shadowed fading. Next, we discuss an intelligent reflecting surface-assisted communication system over α-κ-μ shadowed fading.