Geodesic
A class of unbiased kernel estimates of a probability density function
Applicationes Mathematicae, Tome 22 (1993) no. 4, pp. 485-497.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We propose a class of unbiased and strongly consistent nonparametric kernel estimates of a probability density function, based on a random choice of the sample size and the kernel function. The expected sample size can be arbitrarily small and mild conditions on the local behavior of the density function are imposed.
DOI : 10.4064/am-22-4-485-497
Keywords: rectangular kernel, kernel function, randomized estimate, probability density function, nonparametric estimate, unbiased estimate

Tomasz Rychlik 1

1 
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Tomasz Rychlik. A class of unbiased kernel estimates of a probability density function. Applicationes Mathematicae, Tome 22 (1993) no. 4, pp. 485-497. doi : 10.4064/am-22-4-485-497. http://geodesic.mathdoc.fr/articles/10.4064/am-22-4-485-497/

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