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  1. Applied Mathematics-A Journal of Chinese Universities
  2. Applied Mathematics-A Journal of Chinese Universities : Volume 16
  3. Applied Mathematics-A Journal of Chinese Universities : Volume 16, Issue 2, June 2001
  4. Non-parametric estimation in contaminated linear model
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Applied Mathematics-A Journal of Chinese Universities : Volume 32
Applied Mathematics-A Journal of Chinese Universities : Volume 31
Applied Mathematics-A Journal of Chinese Universities : Volume 30
Applied Mathematics-A Journal of Chinese Universities : Volume 29
Applied Mathematics-A Journal of Chinese Universities : Volume 28
Applied Mathematics-A Journal of Chinese Universities : Volume 27
Applied Mathematics-A Journal of Chinese Universities : Volume 26
Applied Mathematics-A Journal of Chinese Universities : Volume 25
Applied Mathematics-A Journal of Chinese Universities : Volume 24
Applied Mathematics-A Journal of Chinese Universities : Volume 23
Applied Mathematics-A Journal of Chinese Universities : Volume 22
Applied Mathematics-A Journal of Chinese Universities : Volume 21
Applied Mathematics-A Journal of Chinese Universities : Volume 20
Applied Mathematics-A Journal of Chinese Universities : Volume 19
Applied Mathematics-A Journal of Chinese Universities : Volume 18
Applied Mathematics-A Journal of Chinese Universities : Volume 17
Applied Mathematics-A Journal of Chinese Universities : Volume 16
Applied Mathematics-A Journal of Chinese Universities : Volume 16, Issue 4, December 2001
Applied Mathematics-A Journal of Chinese Universities : Volume 16, Issue 3, September 2001
Applied Mathematics-A Journal of Chinese Universities : Volume 16, Issue 2, June 2001
K $_{1}$,p $^{k}$-factorization of complete bipartite graphs
A note on strong embeddings of maximal planar graphs on non-orientable sufraces
Cyclic bandwidth sum of graphs
Oscillation criteria for second order nonlinear differential equations of neutral type
On number of limit cycles for the quadratic systems with a weak focus and a strong focus
Oscillation for forced odd order neutral differential equations
Existence of positive radial solutions for singular elliptic systems
Travelling wave solutions of nonlinear evolution equations by using symbolic computation
Explicit exact solutions for the generalized combined KdV and MKdV equation
Weak bounds for rough square and maximal operators
Convergence of subdivision schemes in L $_{ p }$ spaces
Steiner minimal trees for zigzag lines with ladders
Robust partial inverse network flow problems
Non-parametric estimation in contaminated linear model
Discrete-time stochastic equilibrium with infinite horizon incomplete asset markets
The effect of numerical integration in finite element methods for nonlinear parabolic equations
Applied Mathematics-A Journal of Chinese Universities : Volume 16, Issue 1, March 2001
Applied Mathematics-A Journal of Chinese Universities : Volume 15
Applied Mathematics-A Journal of Chinese Universities : Volume 14
Applied Mathematics-A Journal of Chinese Universities : Volume 13
Applied Mathematics-A Journal of Chinese Universities : Volume 12

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Non-parametric estimation in contaminated linear model

Content Provider Springer Nature Link
Author Genxiang, Chai Yan, Sun Xiaohan, Yang
Copyright Year 2001
Abstract In this paper, the following contaminated linear model is considered: 1 $$y_i = (1 - \varepsilon )x\begin{array}{*{20}c} \tau \\ i \\ \end{array} \beta + z_{_i } ,1 \leqslant i \leqslant n,$$ , where r.v. 's {y $_{ i }$} are contaminated with errors {z $_{ i }$}. To assume that the errors have the finite moment of order 2 only. The non-parametric estimation of contaminated coefficient ε and regression parameter β are established, and the strong consistency and convergence rate almost surely of the estimators are obtained. A simulated example is also given to show the visual performance of the estimations.
Starting Page 195
Ending Page 202
Page Count 8
File Format PDF
ISSN 10051031
Journal Applied Mathematics-A Journal of Chinese Universities
Volume Number 16
Issue Number 2
e-ISSN 19930445
Language English
Publisher Editorial Committee of Applied Mathematics
Publisher Date 2001-01-01
Publisher Place Hangzhou
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Contaminated data non-parametric estimation strong consistency convergence rate almost surely Linear regression Point estimation Mathematics Applications of Mathematics
Content Type Text
Resource Type Article
Subject Applied Mathematics
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