ALMOST SURE CONVERGENCE OF KERNEL BIVARIATE DISTRIBUTION FUNCTION ESTIMATOR UNDER NEGATIVE ASSOCIATION

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JABARI NOUGHABI H.

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Paper Information

Journal: JOURNAL OF STATISTICAL RESEARCH OF IRAN (JSRI) Year:2009 | Volume:6 | Issue:2 Page(s): 243-255

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Information Journal Paper

Title

ALMOST SURE CONVERGENCE OF KERNEL BIVARIATE DISTRIBUTION FUNCTION ESTIMATOR UNDER NEGATIVE ASSOCIATION

Author(s)

JABARI NOUGHABI H. | Issue Writer Certificate

Keywords

ALMOST SURE CONVERGENCEQ1

BIVARIATE DISTRIBUTION FUNCTIONQ1

KERNEL ESTIMATIONQ1

NEGATIVE ASSOCIATIONQ1

STATIONARITYQ3

Abstract

Let {Xn, n³1} be a strictly stationary sequence of negatively associated random variables, with common distribution function F. In this paper, we consider the estimation of the two-dimensional distribution function of (X1, Xk+1) for fixed kÎN based on kernel type estimators. We introduce asymptotic normality and properties and moments. From these we derive the optimal bandwidth convergence rate, which is of order n-1.Besides of some usual conditions on the kernel function, the conditions typically impose a convenient increase rate on the covariancescov (X1, Xn).

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APA: Copy

JABARI NOUGHABI, H.. (2009). ALMOST SURE CONVERGENCE OF KERNEL BIVARIATE DISTRIBUTION FUNCTION ESTIMATOR UNDER NEGATIVE ASSOCIATION. JOURNAL OF STATISTICAL RESEARCH OF IRAN (JSRI), 6(2), 243-255. SID. https://sid.ir/paper/129949/en

Vancouver: Copy

JABARI NOUGHABI H.. ALMOST SURE CONVERGENCE OF KERNEL BIVARIATE DISTRIBUTION FUNCTION ESTIMATOR UNDER NEGATIVE ASSOCIATION. JOURNAL OF STATISTICAL RESEARCH OF IRAN (JSRI)[Internet]. 2009;6(2):243-255. Available from: https://sid.ir/paper/129949/en

IEEE: Copy

H. JABARI NOUGHABI, “ALMOST SURE CONVERGENCE OF KERNEL BIVARIATE DISTRIBUTION FUNCTION ESTIMATOR UNDER NEGATIVE ASSOCIATION,” JOURNAL OF STATISTICAL RESEARCH OF IRAN (JSRI), vol. 6, no. 2, pp. 243–255, 2009, [Online]. Available: https://sid.ir/paper/129949/en

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