Title of article :
COMPLETE CONVERGENCE OF MOVING-AVERAGE PROCESSES UNDER NEGATIVE DEPENDENCE SUB-GAUSSIAN ASSUMPTIONS
Author/Authors :
Amini, Mohammad ferdowsi university of mashhad - Ordered and Spatial Data Center of Excellence,Faculty of Mathematical Sciences - Department of Statistics, مشهد, ايران , Bozorgnia, Abolghasem ferdowsi university of mashhad - Ordered and Spatial Data Center of Excellence, Faculty of Mathematical Sciences - Department of Statistics, مشهد, ايران , Nili Sani, Hamid Reza university of birjand - Faculty of Sciences - Department of Statistics, بيرجند, ايران
Abstract :
The complete convergence is investigated for movingaverage processes of doubly infinite sequence of negative dependence sub-Gaussian random variables with zero means, finite variances and absolutely summable coefficients. As a corollary, the rate of complete convergence is obtained under some suitable conditions on the coefficients.
Keywords :
Moving , average processes , Complete convergence , Negative dependence , sub , gaussian random variables
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
