A NOTE ON OSCILLATION MODULUS OF PL-PROCESS AND ITS APPLICATIONS UNDER RANDOM CENSORSHIP

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The strong limit results of oscillation modulus of PL-process are established inthis paper when the density function is not continuous function for censored data. The ratesof convergence of oscillation modulus of PL-process are sharp under week condition. Theseresults can be used to derive laws of the iterated logarithm of random bandwidth kernelestimator and nearest neighborhood estimator of density under continuous conditions ofdensity function being not assumed.
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