Asymptotic normality of a random point field characteristic

DOI10.1080/02331888608801960zbMath0629.62048OpenAlexW2010671607MaRDI QIDQ3766653

Lothar Heinrich

Publication date: 1986

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331888608801960

zbMATH Keywords

asymptotic normalityU-statisticstest of spatial randomnesssequence of bounded regionssparseness-of-points conditiontesting the hypothesis of randomness

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05)

Related Items (2)

A note on asymptotic expansions for sums over a weakly dependent random field with application to the Poisson and Strauss processes ⋮ Gaussian limits of empirical multiparameter \(K\)-functions of homogeneous Poisson processes and tests for complete spatial randomness

Cites Work

• On the central limit theorem for stationary mixing random fields
• The Berry-Esseen theorem for U-statistics
• Limit theorems for dissociated random variables
• Poisson limits for a clustering model of strauss

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