Divergence Measures Estimation and Its Asymptotic Normality Theory Using Wavelets Empirical Processes I

We deal with the normality asymptotic theory of empirical divergences measures based on wavelets in a series of three papers. In this first paper, we provide the asymptotic theory of the general of ϕ -divergences measures, which includes the most common divergence measures : Renyi and Tsallis famili...

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Bibliographic Details
Published in:	Journal of statistical theory and applications Vol. 17; no. 1; pp. 158 - 171
Main Authors:	Ba, Amadou Diadié, LO, Gane Samb, Ba, Diam
Format:	Journal Article
Language:	English
Published:	Dordrecht Springer Netherlands 01.03.2018 Springer Nature B.V Springer
Subjects:	Asymptotic methods Asymptotic normality Asymptotic properties Besov spaces Divergence Divergence measures estimation Estimators Function space Normality Probability density functions Research Article Statistical analysis Statistical tests Wavelet theory wavelets empirical processes 62G05 62G07 Divergence measures estimation Asymptotic normality 62G20 Wavelet theory Besov spaces wavelets empirical processes
ISSN:	1538-7887, 2214-1766, 1538-7887
Online Access:	Get full text
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