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- W2075667358 abstract "Abstract For integers p=0, 1,2,... and for each integer r>p, Singh (1977) exhibited kernel estimators of ƒ(p), the pth order derivative of a density ƒ based on a random sample from ƒ. Behavior of mean squared errors (MSE) of is studied in singh (1979) where it is also pointed out that the larger the r the smaller the MSE of the estimators. This has been the general impression at least in the case p=0 (Parzen, 1962; Bartlett, 1963; Schucany & Sommers, 1977). It is shown here that this is not necessarily true. Further, relative performances of the estimators and of ƒ and of estimators and of ƒ (1) with regard to their MSE's and variances are examined and compared through a Monte-Carlo simulation. It turns out that if the sampling is from a normal population and are performing better than and respectively. But if the sampling is from a gamma distribution, is preferable to ." @default.
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- W2075667358 date "1982-07-01" @default.
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- W2075667358 title "A comparison between two Kernel estimators of a probability density function and its derivatives" @default.
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- W2075667358 doi "https://doi.org/10.1080/03461238.1982.10405270" @default.
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