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March, 1989 A Counterexample to a Correlation Inequality in Finite Sampling
Kenneth S. Alexander
Ann. Statist. 17(1): 436-439 (March, 1989). DOI: 10.1214/aos/1176347027

Abstract

Each individual in a population of size $n$ is assigned a positive number as its weight. $k$ of the $n$ are sampled without replacement, with the individuals remaining at the time of each selection chosen with probabilities proportional to their weights. It is shown that for two fixed individuals, the events that each is in the sample can be positively correlated.

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Kenneth S. Alexander. "A Counterexample to a Correlation Inequality in Finite Sampling." Ann. Statist. 17 (1) 436 - 439, March, 1989. https://doi.org/10.1214/aos/1176347027

Information

Published: March, 1989
First available in Project Euclid: 12 April 2007

zbMATH: 0672.62016
MathSciNet: MR981461
Digital Object Identifier: 10.1214/aos/1176347027

Subjects:
Primary: 62D05
Secondary: 60C05

Rights: Copyright © 1989 Institute of Mathematical Statistics

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Vol.17 • No. 1 • March, 1989
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