Uniform Convergence Rate of the SNP Density Estimator and Testing for Similarity of Two Unknown Densities

This paper studies the uniform convergence rate of the turncated SNP (semi-nonparametric) density estimator. Using the uniform convergence rate result we obtain, we propose a test statistic testing the equivalence of two unknown densities where two densities are estimated using the SNP estimator and...

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Bibliographic Details
Main Author: KIM, Kyoo-il
Format: text
Language:English
Published: Institutional Knowledge at Singapore Management University 2006
Subjects:
Online Access:https://ink.library.smu.edu.sg/soe_research/904
https://ink.library.smu.edu.sg/context/soe_research/article/1903/viewcontent/EJ0509_revise21.pdf
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Institution: Singapore Management University
Language: English
Description
Summary:This paper studies the uniform convergence rate of the turncated SNP (semi-nonparametric) density estimator. Using the uniform convergence rate result we obtain, we propose a test statistic testing the equivalence of two unknown densities where two densities are estimated using the SNP estimator and supports of densities are possibly unbounded.