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Mathematical modeling in engineering and other fields which use as a tool the theory of probability involve concepts of comparison of random variables. The usual concept of partial order is applied to random variables random vectors, counting processes etc. Random behavior of variables is described mathematically for example by cumulative distribution functions, densities, Laplace transforms, moment generating functions, hazard rates or other functionals. Therefore we may apply the partial order concept to each of the equivalent descriptions of random variables. (For definitions see Appendix)
KeywordsService Time Busy Period UNIVARIATE Order Interarrival Time Nonnegative Random Variable
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