Nonparametric estimation of noisy integral equations of the second kind

被引：9

作者：

Mammen, Enno ^{[1
]}

Yu, Kyusang ^{[1
]}

机构：

[1] Univ Mannheim, Dept Econ, D-68131 Mannheim, Germany

来源：

JOURNAL OF THE KOREAN STATISTICAL SOCIETY | 2009年 / 38卷 / 02期

关键词：

Linear equation of second kind; Additive regression; Plug-in estimators; Dynamic semiparametric factor models; Semiparametric GARCH models; Generalized additive models; Additive quantile regression; KERNEL SMOOTHING METHODS; ADDITIVE-MODELS; REGRESSION-MODELS; INVERSE PROBLEMS; SURFACE;

D O I：

10.1016/j.jkss.2008.11.001

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In this overview we will show that many statistical estimation problems can be considered as empirical Solutions of noisy integral equations of the second kind. We illustrate this by giving a series of examples and we will discuss a general nonparametric approach based on plugging-in nonparametric estimates of the integral kernel and of the intercept of the integral equation. (c) 2008 The Korean Statistical Society. Published by Elsevier B.V. All rights reserved.

引用

页码：99 / 110

页数：12

共 50 条

[41] Approximate solution of a class of singular integral equations of second kind
Mandal, B. N.
Bera, G. H.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 206 (01) : 189 - 195
[42] On the solvability of a class of second kind integral equations on unbounded domains
ChandlerWilde, SN
Zhang, B
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 214 (02) : 482 - 502
[43] Maplet for Linear Fredholm Integral Equations of Second Kind (FIESK)
Muslu, Isa
Boukar, Moussa Mahamat
2013 7TH INTERNATIONAL CONFERENCE ON APPLICATION OF INFORMATION AND COMMUNICATION TECHNOLOGIES (AICT), 2013, : 141 - 144
[44] Wavelet Galerkin methods for second-kind integral equations
Micchelli, CA
Xu, YS
Zhao, YH
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1997, 86 (01) : 251 - 270
[45] NUMERICAL SOLUTIONS OF FUZZY NONLINEAR INTEGRAL EQUATIONS OF THE SECOND KIND
Otadi, M.
Mosleh, M.
IRANIAN JOURNAL OF FUZZY SYSTEMS, 2014, 11 (01): : 135 - 145
[46] Wavelet Galerkin methods for second-kind integral equations
IBM T.J. Watson Research Cent, Yorktown Heights, United States
J Comput Appl Math, 1 (251-270):
[47] Numerical Solution of The Linear Fredholm Integral Equations of the Second Kind
Parandin, N.
Gholamtabar, Sh
JOURNAL OF MATHEMATICAL EXTENSION, 2010, 5 (01) : 31 - 39
[48] Fast multipole method for singular integral equations of second kind
Wu, Qinghua
Xiang, Shuhuang
ADVANCES IN DIFFERENCE EQUATIONS, 2015,
[49] Fast multipole method for singular integral equations of second kind
Qinghua Wu
Shuhuang Xiang
Advances in Difference Equations, 2015
[50] Iterated Fast Collocation Methods for Integral Equations of the Second Kind
Zhongying Chen
Guangqing Long
Gnaneshwar Nelakanti
Yongdong Zhang
Journal of Scientific Computing, 2013, 57 : 502 - 517

← 1 2 3 4 5 →