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Quota fulfillment times
Author(s) -
Anderson Keaven,
Sobel Milton,
Uppuluri V. R. R.
Publication year - 1982
Publication title -
canadian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.804
H-Index - 51
eISSN - 1708-945X
pISSN - 0319-5724
DOI - 10.2307/3314900
Subject(s) - mathematics , sampling (signal processing) , statistics , random variable , sample (material) , variable (mathematics) , computer science , mathematical analysis , physics , filter (signal processing) , computer vision , thermodynamics
An example of the classical occupancy problem is to sample with replacement from an urn containing several colours of balls and count the number of balls sampled until a given number of “quotas” are filled. This and the corresponding random variable for sampling without replacement will be referred to as quota fulfillment times. Asymptotic and exact methods for computing moments and distributions are given in this paper. Moments of quota fulfillment times are related to moments of order statistics of beta and gamma random variables. Most of the results for sampling without replacement and some of the results for sampling with replacement are believed to be new. Some other known sampling‐with‐replacement results are given for comparative purposes.