Some mean convergence theorems for arrays of rowwise pairwise negative quadrant dependent random variables
نویسندگان
چکیده
منابع مشابه
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...
متن کاملComplete Moment Convergence and Mean Convergence for Arrays of Rowwise Extended Negatively Dependent Random Variables
The authors first present a Rosenthal inequality for sequence of extended negatively dependent (END) random variables. By means of the Rosenthal inequality, the authors obtain some complete moment convergence and mean convergence results for arrays of rowwise END random variables. The results in this paper extend and improve the corresponding theorems by Hu and Taylor (1997).
متن کاملOn complete convergence for arrays of rowwise dependent random variables
This paper establishes two results for complete convergence in the law of large numbers for arrays under %-mixing and ~ %-mixing association in rows. They extend several known results. AMS classi cation: 60F15
متن کاملSome 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.
متن کاملSTRONG 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 ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2018
ISSN: 1029-242X
DOI: 10.1186/s13660-018-1811-y