Approximation by Normal Distribution for a Sample Sum in Sampling Without Replacement from a Finite Population

Ibrahim Bin Mohamed () and Sherzod M. Mirakhmedov ()
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Ibrahim Bin Mohamed: University of Malaya
Sherzod M. Mirakhmedov: Institute of Mathematics

Sankhya A: The Indian Journal of Statistics, 2016, vol. 78, issue 2, No 3, 188-220

Abstract: Abstract A sum of observations derived by a simple random sampling design from a population of independent random variables is studied. A procedure finding a general term of Edgeworth asymptotic expansion is presented. The Lindeberg condition of asymptotic normality, Berry-Esseen bound, Edgeworth asymptotic expansions under weakened conditions and Cramer type large deviation results are derived.

Keywords: Berry-Esseen bound; Edgeworth expansion; Lindeberg condition; Large deviation; Finite population; Sample sum; Sampling without replacement (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s13171-016-0088-9

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