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系统科学与数学 1989
THE EXPONENTIAL RATE OF LARGF DEVIATION PROBABILITY FOR THE NEAREST NEIGHBOR ESTIMATE OF A REGRESSION FUNCTION
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Abstract:
In this paper,we discuss the convergence rate of large deviation probability for the nearstneighbor estimate of a regression function.First,we obtain the exponential rate of large de-viation probability of the estimate.Then,for a kind of special distributions,the uniform errorof the estimate is considered and the exponential rate of large deviation probobility of the uni-form error is also obtained.