The Annals of Statistics

Successive Sampling in Large Finite Populations

Louis Gordon

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Abstract

The permutation distribution induced upon a finite population by the order of selection under successive sampling is closely related to the order statistics of independent exponentially distributed waiting times. This characterization is applied to obtain necessary and sufficient conditions for asymptotic normality of the sum of characteristics observed in a successive sample from a finite population. The necessary and sufficient conditions generalize previous results for simple random sampling without replacement, and apply to sampling fractions close to 0 or 1.

Article information

Source
Ann. Statist., Volume 11, Number 2 (1983), 702-706.

Dates
First available in Project Euclid: 12 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aos/1176346175

Digital Object Identifier
doi:10.1214/aos/1176346175

Mathematical Reviews number (MathSciNet)
MR696081

Zentralblatt MATH identifier
0521.62008

JSTOR
links.jstor.org

Subjects
Primary: 60F05: Central limit and other weak theorems
Secondary: 62D05: Sampling theory, sample surveys

Keywords
Central limit theorem Noether condition

Citation

Gordon, Louis. Successive Sampling in Large Finite Populations. Ann. Statist. 11 (1983), no. 2, 702--706. doi:10.1214/aos/1176346175. https://projecteuclid.org/euclid.aos/1176346175


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