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Complete Moment Convergence for the Dependent Linear Processes with Random Coefficients

作者:Seyed; Moham; mad; HOSSEINI; Ahmad; NEZAKATI Faculty; of; Mathematical; Sciences; Shahrood; University; of; Technology; P.O.Box; 316-36155; Shahrood; Iran

摘要:In this paper, we investigate the complete moment convergence for dependent linear processes with random coefficients to form Xt =∑j^∞=∞ Aj∈t-j,where {∈n, n ∈ Z} is a sequence of END stochastically dominated random variables and {An,n ∈ Z} is a sequence of random varibles. As applications, the convergence rate, Marcinkiewicz-Zvgmund strong law and strong law of large numbers for this linear process are established.

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