Reliability parameters transformation using parametric method

Abstract

As a whole calculation of reliability indicators and obtaining estimates of the reliability for infocommunication systems and networks is based on various assumptions about the distributions laws of empirical data obtained as a result of an experiment or during operation. As theoretical and practical studies an algorithm for calculating the numerical values of a random variable in a random process using the parametric method is presented. The article is aimed to transform different types of distribution. Calculated formulas are derived. The problem of obtaining a chi-square distribution from four normally distributed random sequences is solved. Software implementation was performed using the mathematical modeling program Matlab. Graphs are proposed to illustrate the transformation of a uniformly distributed random sequence into an exponentially distributed sequence. A comparison between theoretically and practically completed transformations is given.