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

Issue

Vol. 10 No. 1 (2012): JANUARY

Section

Articles