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26 March 1985, Volume 5 Issue 1 Previous Issue    Next Issue

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THE CONVERGENCE RATES OF ASYMPTOTICALLY BAYES DISCRIMINATION Wei Laisheng Acta mathematica scientia,Series A. 1985, 5 (1):  99-110.  Abstract ( 56 )   RICH HTML PDF (592KB) ( 20 )   Save Let (X,θ), (X1, θ1), …, (Xn, θn) be Rd×{0, 1} valued independent identically distributed (iid) random variables (r. v.), with P (θ=1)=p1 and P(θ=0)=p0=1-p1. Let the conditional density function of X given θ=i be fi(x)dx, i=0, 1. (X1, θ1), …, (Xn, θn) are known samples called trainning samples usually. In practice we are asked to decide the value of θ based on the observation of Xi(i=l, 2,…,n)with the aid of these trainning samples. Related Articles | Metrics

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Tf-UNIFORM AMARTS AND ALMOST SURE CONVERGENCE IN BANACH SPACE Xue Xinghong Acta mathematica scientia,Series A. 1985, 5 (1):  111-117.  Abstract ( 46 )   RICH HTML PDF (380KB) ( 13 )   Save As a generalization of vector-valued martingales (see[1] or[2]) and real-valued amarts (see[3]). Bellow[4] introduced the concept of uniform amarts. Related Articles | Metrics