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Status已发表Published
TitleA restricted occupancy problem
Creator
Date Issued1982
Source PublicationJournal of Applied Probability
ISSN0021-9002
Volume19Issue:3Pages:707 - 711
Abstract

There are m urns each containing k cells; n balls are assigned to the m urns in such a way that each cell contains at most one ball. Let Mt be the number of urns containing exactly t balls (t = 0, 1, •••, k). In the paper, the distribution of Mt , its moments and moment-generating function are obtained. The derivation of the last two seems to be new.

KeywordMOMENT GENERATING FUNCTION DISTRIBUTION INCLUSION-EXCLUSION PRINCIPLE MOMENTS RESTRICTED OCCUPANCY PROBLEMS
DOI10.2307/3213532
Indexed BySCIE
Language英语English
WOS Research AreaMathematics
WOS SubjectStatistics & Probability
WOS IDWOS:A1982PK17800026
Citation statistics
Cited Times:8[WOS]   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
Identifierhttp://repository.uic.edu.cn/handle/39GCC9TT/5334
CollectionResearch outside affiliated institution
Affiliation
Institute of Applied Mathematics, Academia Sinica
Recommended Citation
GB/T 7714
Fang, Kaitai. A restricted occupancy problem[J]. Journal of Applied Probability, 1982, 19(3): 707 - 711.
APA Fang, Kaitai. (1982). A restricted occupancy problem. Journal of Applied Probability, 19(3), 707 - 711.
MLA Fang, Kaitai."A restricted occupancy problem". Journal of Applied Probability 19.3(1982): 707 - 711.
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