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デジタル記事
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- 要約等...n $ be i.i.d. random variables having a probability density function $ f(x) $ and $ f_n(x) $ be a nonparametric density estimator of $ f(x) $. We investigate the property of a location shift random variable $ a_n $ which minimizes integrated squared error $ mathrm{ISE}_n(a) $: $ mathrm{ISE}_n(a) = int_{-x}^{x}{mid f_n(x) - f(x - a) mid^2}dx $. The asymptotic normality and the order of......ence of the $ mathrm{r.v.}a_n $ and those of $ mathrm{ISE}_n(a_n) $ are studied. We also give some numerical examples and some simulations which sho......ctiveness of using the $ a_n $ when one estimates $ f(x) $ by $ f_n(x) $.
- 標準番号（その他）https://hdl.handle.net/2324/13432
- 件名Ocean Engineering
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