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language
eng
Author
Yoshida, Takuma
Description
This paper is based on the author's thesis, Asymptotic theory of penalized spline regression. The focus of the present paper is on the penalized spline estimators obtained by the backfitting algorithm in additive models. The convergence of the algorithm as well as the uniqueness of its solution are shown. Asymptotic equivalence between the penalized spline estimators by the backfitting algorithm and the convenient estimators proposed by Marx and Eilers [9] is addressed. Asymptotic normality of the estimators is also developed.
Journal Title
島根大学総合理工学研究科紀要. シリーズB
Volume
47
Start Page
63
End Page
71
ISSN
13427121
Published Date
2014-03
NCID
AA12638295
Publisher
島根大学総合理工学研究科
NII Type
Departmental Bulletin Paper
Format
PDF
Text Version
出版社版
OAI-PMH Set
Interdisciplinary Graduate School of Science and Engineering
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