Kernel Gradient of Density of Probability Estimate From Contaminated Associated Observations

K. Djeddour, S. Meddahi

Abstract


We consider the estimation of gradient of density function of positive associated random process $(X_{i})_{i}$ from noisy observations. We establish asymptotic expressions for the variance of the gradient of estimator of density of probability. We consider the case of algebraic decay of the tail of the noise characteristic function of ${\epsilon }_{i}$.

Full Text: PDF DOI: 10.5539/ijsp.v3n1p24

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International Journal of Statistics and Probability   ISSN 1927-7032(Print)   ISSN 1927-7040(Online)

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