Limit theorems for the empirical distribution function in the spatial case

István Fazekas

Statistics & Probability Letters, 2003, vol. 62, issue 3, 251-262

Abstract: Functional central limit theorems are proved for the empirical distribution function of strictly stationary and weakly dependent random fields. The theorems cover the discrete and the continuous parameter fields and the case when the observations become dense in a sequence of increasing domains.

Keywords: Functional; central; limit; theorem; Empirical; distribution; function; Mixing; Random; field; Infill; asymptotics; Increasing; domain; asymptotics (search for similar items in EconPapers)
Date: 2003
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