A functional central limit theorem for the empirical Ripley’s K-function
نویسندگان
چکیده
We establish a functional central limit theorem for the empirical Ripley’s K-function of Gibbs point processes and with fast decay correlations. Our greatly extend past results that were restricted to Poisson case allow determine asymptotic behaviour statistics based on which may be used, example, develop goodness-of-fit tests. illustrate this in simulation study.
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ژورنال
عنوان ژورنال: Electronic Journal of Statistics
سال: 2022
ISSN: ['1935-7524']
DOI: https://doi.org/10.1214/22-ejs2017