Complete Convergence for Weighted Sums of Arrays of Rowwise ρ~-mixing Random Variables

Kamon Budsaba; Qiu Dehua; Henar Urmeneta; Andrei Volodin

Complete Convergence for Weighted Sums of Arrays of Rowwise ρ~-mixing Random Variables

Authors

Kamon Budsaba - Department of Mathematics and Statistics, Thammasat University Rangsit Center, Pathum Thani, 12121, Thailand. - Centre of Excellence in Mathematics, CHE, Si Ayutthaya Rd. Bangkok, 10400, Thailand.
Qiu Dehua School of Mathematics and Computational Science, Guangdong University of Business Studies, Guangzhou 510320, P.R.China.
Henar Urmeneta Departamento de Estadística e Investigación Operativa de la Universidad Pública de Navarra, Pamplona, Spain.
Andrei Volodin Department of Mathematics and Statistics, University of Regina, Regina, S4S 0A2, Canada.

Keywords:

complete convergence, ρ~-mixingvariables, slowly varying function, weighted sums

Abstract

In this paper we obtain some new results on complete convergence for weighted sums of arrays of rowwise $\inline \tilde{\rho}$ -mixing random variables. Our results improve and extend the some results established for sequences of independent random variables.

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How to Cite

Budsaba, K., Dehua, Q., Urmeneta, H., & Volodin, A. (2015). Complete Convergence for Weighted Sums of Arrays of Rowwise ρ~-mixing Random Variables. Thailand Statistician, 10(1), 141–162. retrieved from https://ph02.tci-thaijo.org/index.php/thaistat/article/view/34243