On the Accuracy of Approximation of the Negative Binomial Distribution by the Gamma Distribution and Convergence Rate of the Distributions of Some Statistics to the Student Distribution*

Verfasser / Beitragende:
[H. Bevrani, V. Bening, V. Korolev]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 205/1(2015-02-01), 34-44
Format:
Artikel (online)
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024 7 0 |a 10.1007/s10958-015-2227-6  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10958-015-2227-6 
245 0 0 |a On the Accuracy of Approximation of the Negative Binomial Distribution by the Gamma Distribution and Convergence Rate of the Distributions of Some Statistics to the Student Distribution*  |h [Elektronische Daten]  |c [H. Bevrani, V. Bening, V. Korolev] 
520 3 |a Some estimates are presented for the accuracy of approximation of the negative binomial distribution by the gamma distribution. These results are applied to estimate the convergence rate to the Student distribution for the distributions of some statistics constructed from samples with random sizes. 
540 |a Springer Science+Business Media New York, 2015 
700 1 |a Bevrani  |D H.  |u University of Tabriz, Tabriz, Iran  |4 aut 
700 1 |a Bening  |D V.  |u Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics, Moscow, Russia  |4 aut 
700 1 |a Korolev  |D V.  |u Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics, Moscow, Russia  |4 aut 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 205/1(2015-02-01), 34-44  |x 1072-3374  |q 205:1<34  |1 2015  |2 205  |o 10958 
856 4 0 |u https://doi.org/10.1007/s10958-015-2227-6  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10958-015-2227-6  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Bevrani  |D H.  |u University of Tabriz, Tabriz, Iran  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Bening  |D V.  |u Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics, Moscow, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Korolev  |D V.  |u Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics, Moscow, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 205/1(2015-02-01), 34-44  |x 1072-3374  |q 205:1<34  |1 2015  |2 205  |o 10958