Let {Xn, n >= 1} be a strictly stationary sequence of negatively
associated random variables, with common continuous and
bounded distribution function F. In this paper, we consider the estimation
of the two-dimensional distribution function of (X1,Xk+1)
based on histogram type estimators as well as the estimation of the
covariance function of the limit empirical process induced by the sequence
{Xn, n>= 1}. Then, we derive uniform strong convergence
rates for two-dimensional distribution function of (X1,Xk+1) without
any condition on the covariance structure of the variables. Finally,
assuming a convenient decrease rate of the covariances
Cov(X1,Xn+1), n >= 1,
we introduce uniform strong convergence rate for covariance function
of the limit empirical process.
Jabbari,H. and Azarnoosh,H. A. (2022). Almost Sure Convergence Rates for the Estimation of a Covariance Operator for Negatively Associated Samples. Journal of the Iranian Statistical Society, 5(1), 53-67.
MLA
Jabbari,H. , and Azarnoosh,H. A. . "Almost Sure Convergence Rates for the Estimation of a Covariance Operator for Negatively Associated Samples", Journal of the Iranian Statistical Society, 5, 1, 2022, 53-67.
HARVARD
Jabbari H., Azarnoosh H. A. (2022). 'Almost Sure Convergence Rates for the Estimation of a Covariance Operator for Negatively Associated Samples', Journal of the Iranian Statistical Society, 5(1), pp. 53-67.
CHICAGO
H. Jabbari and H. A. Azarnoosh, "Almost Sure Convergence Rates for the Estimation of a Covariance Operator for Negatively Associated Samples," Journal of the Iranian Statistical Society, 5 1 (2022): 53-67,
VANCOUVER
Jabbari H., Azarnoosh H. A. Almost Sure Convergence Rates for the Estimation of a Covariance Operator for Negatively Associated Samples. JIRSS, 2022; 5(1): 53-67.
Journal of the Iranian Statistical Society