On complete convergence for weighted sums of arrays of rowwise END random variables and its statistical applications

In: Mathematica Slovaca, vol. 69, no. 1

Xiaohan Bao - Junjie Lin - Xuejun Wang - Yi Wu

Detaily:

Rok, strany: 2019, 223 - 232

Kľúčové slová:

complete convergence, stochastic domination, extended negatively dependent random variables, nonparametric regression model

DOI: https://doi.org/10.1515/ms-2017-0216

O článku:

In this paper, the complete convergence for the weighted sums of arrays of rowwise extended negatively dependent (END, for short) random variables is established under some mild conditions. In addition, the Marcinkiewicz-Zygmund type strong law of large numbers for arrays of rowwise END random variables is also obtained. The result obtained in the paper generalizes and improves some corresponding ones for independent random variables and some dependent random variables in some extent. By using the complete convergence that we established, we further study the complete consistency for the weighted estimator in a nonparametric regression model based on END errors.

Ako citovať:

ISO 690:

Bao, X., Lin, J., Wang, X., Wu, Y. 2019. On complete convergence for weighted sums of arrays of rowwise END random variables and its statistical applications. In Mathematica Slovaca, vol. 69, no.1, pp. 223-232. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0216

APA:

Bao, X., Lin, J., Wang, X., Wu, Y. (2019). On complete convergence for weighted sums of arrays of rowwise END random variables and its statistical applications. Mathematica Slovaca, 69(1), 223-232. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0216

O vydaní:

Publikované: 24. 1. 2019