Minimum Lp Norm Estimator for Simple Linear Regressive Model

We consider the simple linear regressive model, whose error processes are decrescent. The minimum Lp(p greater than or equal to 1) norm estimator of the unknown parameter for this model is investigated and the consistency and asymptotic distribution are also obtained.

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Published inCommunications in statistics. Theory and methods Vol. 40; no. 4-6; pp. 571 - 580
Main Authors Miao, Yu, Yang, Guangyu, Mu, Jianyong
Format Journal Article
LanguageEnglish
Published Philadelphia, PA Taylor & Francis 2011
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Abstract We consider the simple linear regressive model, whose error processes are decrescent. The minimum Lp(p greater than or equal to 1) norm estimator of the unknown parameter for this model is investigated and the consistency and asymptotic distribution are also obtained.
AbstractList We consider the simple linear regressive model, whose error processes are decrescent. The minimum Lp(p greater than or equal to 1) norm estimator of the unknown parameter for this model is investigated and the consistency and asymptotic distribution are also obtained.
Author YU MIAO
GUANGYU YANG
JIANYONG MU
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Issue 4-6
Keywords norm estimate
62J05
Statistical distribution
Error estimation
Consistency
Simple linear regressive model
Asymptotic distribution
Asymptotic convergence
Linear model
Statistical method
Linear process
Auto-regression model
Regression model
62F12
Minimum L
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Snippet We consider the simple linear regressive model, whose error processes are decrescent. The minimum Lp(p greater than or equal to 1) norm estimator of the...
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SubjectTerms Asymptotic properties
Consistency
Distribution theory
Errors
Estimators
Exact sciences and technology
General topics
Mathematical models
Mathematics
Norms
Probability and statistics
Sciences and techniques of general use
Statistics
Title Minimum Lp Norm Estimator for Simple Linear Regressive Model
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