Limiting distribution of the G statistics

The G statistic and its local version have been used extensively in spatial data analysis. The paper proves the asymptotic normality of the G statistic. Theorems in this paper imply that the regular permutation test for the G statistic is valid.

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Bibliographic Details
Published in:	Statistics & probability letters Vol. 78; no. 12; pp. 1656 - 1661
Main Author:	Zhang, Tonglin
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier B.V 01-09-2008 Elsevier
Series:	Statistics & Probability Letters
Subjects:	Exact sciences and technology General topics Limit theorems Mathematics Multivariate analysis Probability and statistics Probability theory and stochastic processes Sciences and techniques of general use Statistics Statistical method Data analysis Limit distribution Test statistic Permutation test Asymptotic normality Probability theory Spatial analysis
Online Access:	Get full text
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Description
Summary:	The G statistic and its local version have been used extensively in spatial data analysis. The paper proves the asymptotic normality of the G statistic. Theorems in this paper imply that the regular permutation test for the G statistic is valid.
ISSN:	0167-7152 1879-2103
DOI:	10.1016/j.spl.2008.01.023