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Digital Library

of the European Council for Modelling and Simulation

 

Title:

On Asymptotic Approximations To The Distributions Of Statistics Constructed From Samples With Random Sizes

Authors:

Vladimir Bening, Victor Korolev, Alexander Zeifman

Published in:

 

 

 

(2017).ECMS 2017 Proceedings Edited by: Zita Zoltay Paprika, Péter Horák, Kata Váradi, Péter Tamás Zwierczyk, Ágnes Vidovics-Dancs, János Péter Rádics

European Council for Modeling and Simulation. doi:10.7148/2017

 

 

ISBN: 978-0-9932440-4-9/

ISBN: 978-0-9932440-5-6 (CD)

 

 

31st European Conference on Modelling and Simulation,

Budapest, Hungary, May 23rd – May 26th, 2017

 

Citation format:

Vladimir Bening, Victor Korolev, Alexander Zeifman (2017). On Asymptotic Approximations To The Distributions Of Statistics Constructed From Samples With Random Sizes, ECMS 2017 Proceedings Edited by: Zita Zoltay Paprika, Péter Horák, Kata Váradi, Péter Tamás Zwierczyk, Ágnes Vidovics-Dancs, János Péter Rádics European Council for Modeling and Simulation. doi: 10.7148/2017-0661

 

DOI:

https://doi.org/10.7148/2017-0661

Abstract:

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.

 

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