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September 2013 The correct asymptotic variance for the sample mean of a homogeneous Poisson marked point process
William Garner, Dimitris N. Politis
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J. Appl. Probab. 50(3): 889-892 (September 2013). DOI: 10.1239/jap/1378401244

Abstract

The asymptotic variance of the sample mean of a homogeneous Poisson marked point process has been studied in the literature, but confusion has arisen as to the correct expression due to some technical intricacies. This note sets the record straight with regards to the variance of the sample mean. In addition, a central limit theorem in the general d-dimensional case is also established.

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William Garner. Dimitris N. Politis. "The correct asymptotic variance for the sample mean of a homogeneous Poisson marked point process." J. Appl. Probab. 50 (3) 889 - 892, September 2013. https://doi.org/10.1239/jap/1378401244

Information

Published: September 2013
First available in Project Euclid: 5 September 2013

zbMATH: 1274.60064
MathSciNet: MR3102522
Digital Object Identifier: 10.1239/jap/1378401244

Subjects:
Primary: 60F05, 60K99

Rights: Copyright © 2013 Applied Probability Trust

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Vol.50 • No. 3 • September 2013
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