Adaptive wavelet estimations for the derivative of a density in GARCH-type model

Abstract Recently, Rao investigated the estimations for the derivative of a density in GARCH-type model S=σ2Z $S=\sigma ^{2}Z$ over L2 $L^{2}$-risk (Commun. Stat., Theory Methods 46:2396–2410, 2017). This paper extends those estimations to Lp $L^{p}$-risk ( 1≤p<∞ $1\leq p<\infty $). In additio...

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Bibliographic Details
Main Authors: Kaikai Cao, Jingyi Wei
Format: Article
Language:English
Published: SpringerOpen 2019-04-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-019-2056-0