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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數(shù)學(xué)學(xué)報雜志, 雙月刊,本刊重視學(xué)術(shù)導(dǎo)向,堅持科學(xué)性、學(xué)術(shù)性、先進(jìn)性、創(chuàng)新性,刊載內(nèi)容涉及的欄目:研究報告、文獻(xiàn)綜述、簡報、專題研究等。于1936年經(jīng)新聞總署批準(zhǔn)的正規(guī)刊物。