Author/Authors :
Amini، M. نويسنده 1Department of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Islamic Republic of Iran , , Bozorgnia، A. نويسنده , , Nili Sani، H.R. نويسنده 1Department of Statistics, Faculty of Sciences, University of Birjand, Birjand, Islamic Republic of Iran ,
Abstract :
Let be a sequence of arbitrary random variables with and , for every and be an array of real numbers. We will obtain two maximal inequalities for partial sums and weighted sums of random variables and also, we will prove complete convergence for weighted sums , under some conditions on and sequence .