Berry–Esseen Bound for a Sample Sum from a Finite Set of Independent Random Variables |
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| Authors: | L C Zhao C Q Wu Q Wang |
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| Institution: | (1) Department of Statistics and Finance, University of Science and Technology of China, Hefei, 230026, China;(2) School of Mathematics and Statistics, The University of Sydney, NSW 2006, Australia |
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| Abstract: | Let {X
1,...,X
N} be a set of N independent random variables, and let S
n
be a sum of n random variables chosen without replacement from the set {X
1,...,X
N} with equal probabilities. In this paper we give an estimate of the remainder term for the normal approximation of S
n
under mild conditions. |
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| Keywords: | Berry– Esseen bound finite population sampling without replacement |
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