"H-Function-Induced Distributions for Mixed Sums of Independent Random Variables"

Abstract

"We develop a systematic methodology for computing the distribution of mixed sums of independent random variables, encompassing finite-range and infinite-range probability density functions, with the latter being expressible as a product of polynomials and H-functions. By harnessing the power of Laplace transforms and their inverses, our approach yields a general, parameterizable result that accommodates a broad spectrum of specializations, thereby providing a valuable tool for theorists and practitioners alike. The technical framework established herein paves the way for further research into the distributional properties of complex random systems."