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Limit theorems for the empirical distribution function in the spatial case

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  • Fazekas, István

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.

Suggested Citation

  • Fazekas, István, 2003. "Limit theorems for the empirical distribution function in the spatial case," Statistics & Probability Letters, Elsevier, vol. 62(3), pages 251-262, April.
    • Handle: RePEc:eee:stapro:v:62:y:2003:i:3:p:251-262
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    References listed on IDEAS

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    1. István Fazekas & Alexander Kukush, 2000. "Infill Asymptotics Inside Increasing Domains for the Least Squares Estimator in Linear Models," Statistical Inference for Stochastic Processes, Springer, vol. 3(3), pages 199-223, October.
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