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Sharp Rates of Convergence of Minimum Penalized Distance Estimators

R.-D. Reiss
Sankhyā: The Indian Journal of Statistics, Series A (1961-2002)
Vol. 48, No. 1 (Feb., 1986), pp. 59-68
Published by: Springer on behalf of the Indian Statistical Institute
Stable URL: http://www.jstor.org/stable/25050572
Page Count: 10
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Sharp Rates of Convergence of Minimum Penalized Distance Estimators
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Abstract

This article deals with minimum distance estimators and minimum penalized distance estimators which are based on the Kolmogorov-Smirnov distance. It is proved that such estimators achieve the optimum rate of convergence within families of density functions which have a bounded m-th derivative.

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