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SEVERAL RESULTS ON ESTIMATION OF PARAMETERS UNDER MATRIX LOSS FUNCTION
Matrix loss function Bayes estimators
2007/12/10
摘要 In this paper, the definitions of Bayes estimator, minimax estimator, minimumrisk equivariant estimator and admissible estimator under the general matrix loss functionare given. Several results on ...
In this paper, we give characterizations for Bloch and normal functions. These caracterizations generalize the results of [1].
SMOOTH PL-ESTIMATOR OF DISTRIBUTION FUNCTION UNDER RANDOM TRUNCATION DATA
Smooth PL-estimator smooth PL-process
2007/8/7
For the nonparametric smooth PL-estimator Fn, the smooth PL-process (Fn - F) can be uniformly represented by a smooth empirical process plus a negligible remainder term when the data are subject to ra...
STRONG UNIFORM CONSISTENCY RATES FOR CONDITIONAL FUNCTION ESTIMATORS WITH $\varphi$-MIXING SAMPLE
Strong uniform consistency rates \varphi
2007/8/7
Strong uniform consistency rates are given for kernel type estimators of the conditional function with \varphi-mixing sample. Especially, for nonparametrice stimators of kernel density, the regression...
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...
A LAW OF THE ITERATED LOGARITHM FOR RANDOM WINDOW-WIDTH KERNEL ESTIMATOR OF A NONPARAMETRIC REGRESSION FUNCTION
Regression function random window-width
2007/8/7
In this paper we study the estimation of the regression function. We establish a law ofthe iterated logarithm for the random window-width kernel estimator and, as an application, for a nearest neighbo...
Research on jump regression functions has not been adequate yet According to the information about the number of jumps, their positions and jump magnitudes, jump regression functions can be classified...
For the general fixed effects linear model: Y=Xτ+ε,ε～N(0,V)(or N(0,σ~2V)), V≥0, we obtain the necessary and sufficient condition for LY+α to be admissible for Sτ in the class of all estimators under m...