Author:
Garner William,Politis Dimitris N.
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.
Publisher
Cambridge University Press (CUP)
Subject
Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability
Reference9 articles.
1. On nonparametric estimation of intensity function of inhomogeneous Poisson process;Kutoyants;Problems Control Inf. Theory,1984a
2. Estimation of the mean of a stationary time series by sampling
3. Inference for stationary random fields given Poisson samples
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