wavelets for nonparametric stochastic regression with pairwise negative quadrant dependent random variables
Authors
abstract
we propose a wavelet based stochastic regression function estimator for the estimation of the regression function for a sequence of pairwise negative quadrant dependent random variables with a common one-dimensional probability density function. some asymptotic properties of the proposed estimator are investigated. it is found that the estimators have similar properties to their counterparts studied earlier in literature.
similar resources
Wavelets for Nonparametric Stochastic Regression with Pairwise Negative Quadrant Dependent Random Variables
We propose a wavelet based stochastic regression function estimator for the estimation of the regression function for a sequence of pairwise negative quadrant dependent random variables with a common one-dimensional probability density function. Some asymptotic properties of the proposed estimator are investigated. It is found that the estimators have similar properties to their counterparts st...
full textSTRONG CONVERGENCE FOR m-PAIRWISE NEGATIVELY QUADRANT DEPENDENT RANDOM VARIABLES
Abstract. Complete convergence and the Marcinkiewicz-Zygmund strong law of large numbers for sequences of m-pairwise negatively quadrant dependent (m-PNQD) random variables is studied in this paper. The results obtained extend and improve the corresponding theorems of Choi and Sung ([4]) and Hu et al. ([9]). A version of the Kolmogorov strong law of large numbers for sequences of m-PNQD random ...
full textOn the Strong Law of Large Numbers for Sequences of Pairwise Negative Quadrant Dependent Random Variables
For a sequence of pairwise negative quadrant dependent random variables {Xn, n ≥ 1}, conditions are given under which normed and centered partial sums converge to 0 almost certainly. As special cases, new results are obtained for weighted sums { ∑n j=1 ajXj , n ≥ 1} where {an, n ≥ 1} is a sequence of positive constants and the {Xn, n ≥ 1} are also identically distributed. A result of Matu la [1...
full textStrong Laws for Weighted Sums of Negative Dependent Random Variables
In this paper, we discuss strong laws for weighted sums of pairwise negatively dependent random variables. The results on i.i.d case of Soo Hak Sung [9] are generalized and extended.
full textSome limit theorems for weighted negative quadrant dependent random variables with infinite mean
In the present paper, we will investigate weak laws of large numbers for weighted pairwise NQD random variables with infinite mean. The almost sure upper and lower bounds for a particular normalized weighted sum of pairwise NQD nonnegative random variables are established also.
full textstrong laws for weighted sums of negative dependent random variables
in this paper, we discuss strong laws for weighted sums of pairwise negatively dependent random variables. the results on i.i.d case of soo hak sung [9] are generalized and extended.
full textMy Resources
Save resource for easier access later
Journal title:
journal of sciences islamic republic of iranجلد ۱۶، شماره ۳، صفحات ۰-۰
Hosted on Doprax cloud platform doprax.com
copyright © 2015-2023