The Probability of Successful Allocation of Particles in Cells (The General Case)

Verfasser / Beitragende:
[I. Kayumov, A. Chuprunov]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 209/1(2015-08-01), 88-95
Format:
Artikel (online)
ID: 60552565X
LEADER caa a22 4500
001 60552565X
003 CHVBK
005 20210128100759.0
007 cr unu---uuuuu
008 210128e20150801xx s 000 0 eng
024 7 0 |a 10.1007/s10958-015-2486-2  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10958-015-2486-2 
245 0 4 |a The Probability of Successful Allocation of Particles in Cells (The General Case)  |h [Elektronische Daten]  |c [I. Kayumov, A. Chuprunov] 
520 3 |a Let p nN be the probability of successful allocation of n groups of particles in N cells with the following assumptions: (a) each group contains m particles and has allocation as a general allocation scheme; (b) each cell contains at most r particles from the same group; (c) events connected with different groups are independent. We obtain an asymptotically exact bound of p nN as n,N →∞ such that n/N is bounded. Applications to problems in error-correcting coding are considered. 
540 |a Springer Science+Business Media New York, 2015 
700 1 |a Kayumov  |D I.  |u Kazan Federal University, 420008, Kazan, Russia  |4 aut 
700 1 |a Chuprunov  |D A.  |u Kazan Federal University, 420008, Kazan, Russia  |4 aut 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 209/1(2015-08-01), 88-95  |x 1072-3374  |q 209:1<88  |1 2015  |2 209  |o 10958 
856 4 0 |u https://doi.org/10.1007/s10958-015-2486-2  |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/s10958-015-2486-2  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Kayumov  |D I.  |u Kazan Federal University, 420008, Kazan, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Chuprunov  |D A.  |u Kazan Federal University, 420008, Kazan, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 209/1(2015-08-01), 88-95  |x 1072-3374  |q 209:1<88  |1 2015  |2 209  |o 10958