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 Estimation of the distribution function for stationary random fields of associated processes Commun. Korean Math. Soc. 2004 Vol. 19, No. 1, 169-177 Printed March 1, 2004 Tae-Sung Kim, Mi-Hwa Ko, Yeon-Sun Yoo WonKwang University, Seoul National University, WonKwang University Abstract : For a stationary field $\{X_{\underline{j}} , \underline{j} \in \mathbb{Z}_+^d \}$ of associated random variables with distribution function ${F}(x) =P(X_{\underline{1}} \le x)$ we study strong consistency and asymptotic normality of the empirical distribution function, which is proposed as an estimator for ${F} (x)$. We also consider strong consistency and asymptotic normality of the empirical survival function by applying these results. Keywords : empirical distribution function, associated, random field, asymptotic normality, estimator, survival function MSC numbers : 60F05 Downloads: Full-text PDF