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Quadratic Admissible Estimate of Covariance in Pseudo-Elliptical Contoured Distribution
Admissibility covariance quadratic est
2007/8/7
This article mainly discusses the admissibility of quadratic estimate of covariance in pseudo-elliptical distribution. Under the quadratic loss function, the necessary and sufficient conditions that a...
CONSISTENCY FOR KERNEL ESTIMATE OF CONDITIONAL FUNCTION
onditional function kernel estimate im
2007/8/7
Let {(X_n, Y_n} be a -mixing sequence. On the basis of (X_1, Y_1 ),... ,(X_n, Y_n),E(β(Y)|X = x) is estimated by kernel estimators, approved kernel estimators and random window width estboators. Under...
AN IMPROVEMENT ON ESTIMATE OF d_0/d~* FOR STARLIKE FUNCTIONS
Starlike function radius of convexity
2007/8/7
Let S~* be the class of starlike functions in unit disc. For f∈S~*, denote its radius of convexity by r_0 and let d_0=\[min_}{\|z\|=r_0}\]|f(z)|, d~*=inf{|β||f(z)≠β,|z|<1}. In this paper we prove d_0/...