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Asymptotically Local Minimax Estimation of Infinitely Smooth Density with Censored Data

โœ Scribed by Eduard Belitser; Boris Levit


Book ID
110313013
Publisher
Springer Japan
Year
2001
Tongue
English
Weight
1005 KB
Volume
53
Category
Article
ISSN
0020-3157

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Exact asymptotic L1-error of a kernel de
โœ Mohamed Lemdani; Elias Ould-Saฤฑฬˆd ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 139 KB

In this paper, we give the exact asymptotic L 1 -error for the kernel estimator of the density function from censored data. We also give asymptotically optimal bandwidths. Strong approximation of the product-limit estimator by a Gaussian process is used to obtain the result.