On asymptotic approximations to the distributions of statistics constructed from samples with random sizes

Due to the stochastic character of the intensities of information flows in high performance information systems, the size of data available for the statistical analysis can be often regarded as random. In the paper general theorem concerning the asymptotic expansions of the distribution function of the statistics based on the sample of random size was proved. Some examples are presented for the cases where the sample size has the negative binomial or discrete Pareto distributions. © ECMS Zita Zoltay Paprika, Péter Horák, Kata Váradi,Péter Tamás Zwierczyk, Ágnes Vidovics-Dancs, János Péter Rádics (Editors).