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Limit theorems for samples from a finite population

Part of: Limit theorems

Published online by Cambridge University Press:  09 April 2009

Miloslav Jirina
Miloslav Jirina
Affiliation:
School of Mathematics Sciences, The Flinders University of South Australia, Bedford Park, South Australia 5042, Australia
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Abstract

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Two theorems on limit distributions for sums of values sampled from a finite population without replacement are presented. The emphasis is on non-normal limit distributions.

MSC classification

Secondary: 60F05: Central limit and other weak theorems
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 32 , Issue 3 , June 1982 , pp. 318 - 327
Copyright
Copyright © Australian Mathematical Society 1982

References

[1]Erdös, R. and Rényi, A., ‘On the central limit theorem for samples from a finite population’, Publ. Math. Inst. Ung. Acent. Sci. 4 (1959), 49–61.Google Scholar
[2]Lukacs, E., Characteristic functions 2nd ed. (Griffin, London, 1970).Google Scholar
[3]Rényi, A., Probability theory (North-Holland, Amsterdam-London, 1970).Google Scholar