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Let $ { x_n } $ be a stationary uniform sequence of random variables having a probability density function $ f(x) $. Based on the first $ n $ observations an estimate of $ f(x) $ is given by $ f_n(x) ...= (na_n)^{-1} sum_{j=1}^{n}{K(an^{-1}(x - X_j))} $ where $ K(y) $ is a known probability density function. Asymptotic properties of $ f_n(x) $ have been studied.show more
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