Article | REF: AF603 V1

Functional estimation

Author: Denis BOSQ

Publication date: October 10, 2009

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4. Probability density estimation using the kernel method

Density function estimation plays a central role in functional estimation; the problem is difficult and the applications are numerous.

The situation is as follows: we observe independent real random variables X 1 ,..., X n with the same law μ of unknown density f, so we have :

The function f is positive or zero and...

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Probability density estimation using the kernel method