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Strong Consistency of M Estimator in Linear Model for Negatively Associated Samples
Linear model M estimator negatively associated sample strong consistency
2007/8/7
This paper discusses the strong consistency of M estimator of regression parameter in linear model for negatively associated samples. As a result, the author extends Theorem 1 and Theorem 2 of Shancha...
A SIMPLE ESTIMATOR FOR AN EXPONENTIALTAIL COEFFICIENT
Exponential tail regular variation est
2007/8/7
In this paper a simple estimator for an exponential tail coefficient in risk theoryis constructed. The convergence rate in the weak sense for the estimator is obtained.Additionally, the limit distribu...
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...
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...
Let (X,Y) be a pair of R~d×R~1-valued random variables. In thispaper we investigate the asymptotic properties of the L_1-norm kernel estimator of the conditional median function of Y on X. Under appro...