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- W2061060422 abstract "Let X1, X2,… be associated random variables forming a strictly stationary sequence, and let f be the probability density function of X1. For r ⩾ 0 integer, let f(r) be the rth order derivative of f. Under suitable regularity conditions on a kernel function K, a sequence of bandwidths {hn}, the derivatives f(s), s = 0, 1,…, r, and the covariances Cov(X1, Xi), i ⩾ 2, the usual kernel estimate of f(r)(x) is shown to be strongly consistent, uniformly in x. An application is also presented in the estimation of the hazard rate. Finally, certain covergence rates are also discussed." @default.
- W2061060422 created "2016-06-24" @default.
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- W2061060422 date "1991-11-01" @default.
- W2061060422 modified "2023-10-17" @default.
- W2061060422 title "Kernel estimates under association: strong uniform consistency" @default.
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- W2061060422 doi "https://doi.org/10.1016/0167-7152(91)90028-p" @default.
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