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Wavelet Based Estimation of the Derivatives of a Density for a Discrete-Time Stochastic Process: Lp-Losses | ||
Journal of Sciences, Islamic Republic of Iran | ||
مقاله 9، دوره 17، شماره 1، خرداد 2006 اصل مقاله (215.2 K) | ||
چکیده | ||
We propose a method of estimation of the derivatives of probability density based on wavelets methods for a sequence of random variables with a common one-dimensional probability density function and obtain an upper bound on Lp-losses for such estimators. We suppose that the process is strongly mixing and we show that the rate of convergence essentially depends on the behavior of a special quadratic characteristic. | ||
عنوان مقاله [English] | ||
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چکیده [English] | ||
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