A strong deviation theorem of multivariate function sequences of arbitrary random variables is obtained by using moment generating functions and differentiation of measures on a net . and a strong deviation theorem of discrete information sources is obtained 本論文利用母函數(shù)和網(wǎng)微分法得到任意隨機變量多元函數(shù)序列的強偏差定理;及一個對離散信源普遍成立的強偏差定理。