On the asymptotic behavior of a sequence of random variables of interest in the classical occupancy problem

Publication type: Journal Article
Publication date: 2014-03-21
American Mathematical Society
scimago Q4
wos Q4
SJR: 0.238
CiteScore: 0.9
Impact factor: 0.6
ISSN: 00949000, 15477363
Statistics and Probability
Statistics, Probability and Uncertainty
Abstract
In the classical occupancy problem one puts balls in boxes, and each ball is independently assigned to any fixed box with probability . It is well known that, if we consider the random number of balls required to have all the boxes filled with at least one ball, the sequence converges to 1 in probability. Here we present the large deviation principle associated to this convergence. We also discuss the use of the Gartner Ellis Theorem for the proof of some parts of this large deviation principle

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Giuliano R. E., Macci C. On the asymptotic behavior of a sequence of random variables of interest in the classical occupancy problem // Theory of Probability and Mathematical Statistics. 2014. Vol. 87. pp. 31-40.
GOST all authors (up to 50) Copy
Giuliano R. E., Macci C. On the asymptotic behavior of a sequence of random variables of interest in the classical occupancy problem // Theory of Probability and Mathematical Statistics. 2014. Vol. 87. pp. 31-40.
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TY - JOUR
DO - 10.1090/s0094-9000-2014-00902-3
UR - https://doi.org/10.1090/s0094-9000-2014-00902-3
TI - On the asymptotic behavior of a sequence of random variables of interest in the classical occupancy problem
T2 - Theory of Probability and Mathematical Statistics
AU - Giuliano, Rita E.
AU - Macci, Claudio
PY - 2014
DA - 2014/03/21
PB - American Mathematical Society
SP - 31-40
VL - 87
SN - 0094-9000
SN - 1547-7363
ER -
BibTex
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@article{2014_Giuliano,
author = {Rita E. Giuliano and Claudio Macci},
title = {On the asymptotic behavior of a sequence of random variables of interest in the classical occupancy problem},
journal = {Theory of Probability and Mathematical Statistics},
year = {2014},
volume = {87},
publisher = {American Mathematical Society},
month = {mar},
url = {https://doi.org/10.1090/s0094-9000-2014-00902-3},
pages = {31--40},
doi = {10.1090/s0094-9000-2014-00902-3}
}