Varying kernel density estimation on R+
In this article a new nonparametric density estimator based on the sequence of asymmetric kernels is proposed. This method is natural when estimating an unknown density function of a positive random variable. The rates of Mean Squared Error, Mean Integrated Squared Error, and the L1-consistency are investigated. Simulation studies are conducted to compare a new estimator and its modified version with traditional kernel density construction.
Year of publication: |
2012
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Authors: | Mnatsakanov, Robert ; Sarkisian, Khachatur |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 82.2012, 7, p. 1337-1345
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Publisher: |
Elsevier |
Subject: | Varying kernel density estimator | Mean Squared Error | Mean Integrated Squared Error | δ-sequence | L1-consistency |
Saved in:
Online Resource
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