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ArticleOriginal scientific text

Title

A class of unbiased kernel estimates of a probability density function

Authors 1

Affiliations

  1. Institute of Mathematics, Polish Academy of Sciences, Abrahama 18, 81-825 Sopot, Poland

Abstract

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.

Keywords

ENG
rectangular kernel, kernel function, randomized estimate, probability density function, nonparametric estimate, unbiased estimate

Bibliography

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Applicationes Mathematicae
1993-1995/22/4
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Pages:
485-497
Main language of publication
English
Received
1994-01-10
Published
1995
Exact and natural sciences