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The relation between rate distortion function (RDF) and Bayesian filtering theory is discussed. The relation is established by imposing a causal or realizability constraint on the reconstruction condi...
Abstract: A receiver wants to compute a function f of two correlated sources X and Y and side information Z. What is the minimum number of bits that needs to be communicated by each transmitter? In th...
Abstract: A lower bound on the minimum error probability for multihypothesis testing is established. The bound, which is expressed in terms of the cumulative distribution function of the tilted poster...
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].
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 are given for kernel type estimators of the conditional function with \varphi-mixing sample. Especially, for nonparametrice stimators of kernel density, the regression...
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...
For the completely observed colltinuous-time stochastic system (A, B, C)an adaptive control based on the ELS estimation algorithm is designed so that the quadratic loss function is minimized and the u...
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...
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...

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