The Profile Likelihood Estimation for Single-Index ARCH(p)-M Model
Author(s) -
Qiang Xiong,
Yuan Li,
Xingfa Zhang
Publication year - 2014
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2014/189426
Subject(s) - estimator , nonparametric statistics , mathematics , arch , smoothing , single index model , semiparametric model , restricted maximum likelihood , parametric statistics , component (thermodynamics) , statistics , parametric model , index (typography) , maximum likelihood , computer science , engineering , structural engineering , physics , world wide web , thermodynamics
We propose a class of single-index ARCH(p)-M models and investigate estimators of the parametric and nonparametric components. We first estimate the nonparametric component using local linear smoothing technique and then construct an estimator of parametric component by using profile quasimaximum likelihood method. Under regularity conditions, the asymptotic properties of our estimators are established
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