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dc.contributor.author | Avkhadiev F. | |
dc.contributor.author | Chuprunov A. | |
dc.date.accessioned | 2018-09-18T20:34:25Z | |
dc.date.available | 2018-09-18T20:34:25Z | |
dc.date.issued | 2007 | |
dc.identifier.issn | 1995-0802 | |
dc.identifier.uri | https://dspace.kpfu.ru/xmlui/handle/net/141272 | |
dc.description.abstract | Let p = PNn be the probability of a successful allocation of n groups of distinguishable balls in N boxes in equiprobable scheme for group allocation of balls with the following assumption: each group contains m balls and ea,ch box contains not more than q balls from a same group. If q = 1, then we easily calculate p and observe that p → e-m(m-1)/2 α0 as n, N → ∞ such that α = n/N → α0 < ∞. In the case 2 ≤ q we also find an explicit formula for the probability and prove that p → 1 as n, N → ∞ such that α = n/N ≤ α′ < ∞. | |
dc.relation.ispartofseries | Lobachevskii Journal of Mathematics | |
dc.subject | Cauchy integral | |
dc.subject | Equiprobable scheme for group allocation of particles | |
dc.subject | Generating function | |
dc.title | The probability of a successful allocation of ball groups by boxes | |
dc.type | Article | |
dc.relation.ispartofseries-volume | 25 | |
dc.collection | Публикации сотрудников КФУ | |
dc.relation.startpage | 3 | |
dc.source.id | SCOPUS19950802-2007-25-SID34247573507 |