On the Ratios of Pathway Random Variables

Naiju M. Thomas

Communications in Statistics - Theory and Methods, 2014, vol. 43, issue 23, 4972-4987

Abstract: A study of the densities of ratios of independently distributed random variables following the pathway model, Mathai (2005), is carried out. The density functions of these random variables are obtained in terms of H-function. The particular cases of the integral forms are shown to be associated with Tsallis statistics and Beck–Cohen superstatistics. Many other special functions coming under the general density are also included. We plotted the density function of the ratio of these random variables for the different values of the pathway parameters. Real-life application of the results in communication theory related to the signal–noise ratio is illustrated.

Date: 2014
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DOI: 10.1080/03610926.2012.717667

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