An updated review of Goodness-of-Fit tests for regression models

This survey intends to collect the developments on Goodness-of-Fit for regression models during the last 20 years, from the very first origins with the proposals based on the idea of the tests for density and distribution, until the most recent advances for complex data and models. Far from being ex...

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Vydáno v:Test (Madrid, Spain) Ročník 22; číslo 3; s. 361 - 411
Hlavní autoři: González-Manteiga, Wenceslao, Crujeiras, Rosa M.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2013
Springer Nature B.V
Témata:
Bootstrap method
Dealing
Economics
Finance
Hypotheses
Insurance
Invited Paper
Management
Mathematics and Statistics
Measurement techniques
Random variables
Regression analysis
Statistical Theory and Methods
Statistics
Statistics for Business
Studies
United States > US
Bootstrap calibration
62G08
Smoothing tests
62G09
Empirical distribution of the residuals
62G10
Empirical regression process
Likelihood ratio tests
ISSN:1133-0686, 1863-8260
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Abstract This survey intends to collect the developments on Goodness-of-Fit for regression models during the last 20 years, from the very first origins with the proposals based on the idea of the tests for density and distribution, until the most recent advances for complex data and models. Far from being exhaustive, the contents in this paper are focused on two main classes of tests statistics: smoothing-based tests (kernel-based) and tests based on empirical regression processes, although other tests based on Maximum Likelihood ideas will be also considered. Starting from the simplest case of testing a parametric family for the regression curves, the contributions in this field provide also testing procedures in semiparametric, nonparametric, and functional models, dealing also with more complex settings, as those ones involving dependent or incomplete data.
AbstractList This survey intends to collect the developments on Goodness-of-Fit for regression models during the last 20 years, from the very first origins with the proposals based on the idea of the tests for density and distribution, until the most recent advances for complex data and models. Far from being exhaustive, the contents in this paper are focused on two main classes of tests statistics: smoothing-based tests (kernel-based) and tests based on empirical regression processes, although other tests based on Maximum Likelihood ideas will be also considered. Starting from the simplest case of testing a parametric family for the regression curves, the contributions in this field provide also testing procedures in semiparametric, nonparametric, and functional models, dealing also with more complex settings, as those ones involving dependent or incomplete data.[PUBLICATION ABSTRACT]
This survey intends to collect the developments on Goodness-of-Fit for regression models during the last 20 years, from the very first origins with the proposals based on the idea of the tests for density and distribution, until the most recent advances for complex data and models. Far from being exhaustive, the contents in this paper are focused on two main classes of tests statistics: smoothing-based tests (kernel-based) and tests based on empirical regression processes, although other tests based on Maximum Likelihood ideas will be also considered. Starting from the simplest case of testing a parametric family for the regression curves, the contributions in this field provide also testing procedures in semiparametric, nonparametric, and functional models, dealing also with more complex settings, as those ones involving dependent or incomplete data.
Author González-Manteiga, Wenceslao
Crujeiras, Rosa M.
Author_xml – sequence: 1
  givenname: Wenceslao
  surname: González-Manteiga
  fullname: González-Manteiga, Wenceslao
  email: wenceslao.gonzalez@usc.es
  organization: Dpt. of Statistics and Operations Research, Faculty of Mathematics, University of Santiago de Compostela
– sequence: 2
  givenname: Rosa M.
  surname: Crujeiras
  fullname: Crujeiras, Rosa M.
  organization: Dpt. of Statistics and Operations Research, Faculty of Mathematics, University of Santiago de Compostela
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Issue 3
Keywords Bootstrap calibration
62G08
Smoothing tests
62G09
Empirical distribution of the residuals
62G10
Empirical regression process
Likelihood ratio tests
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Springer Nature B.V
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SubjectTerms Bootstrap method
Dealing
Economics
Finance
Hypotheses
Insurance
Invited Paper
Management
Mathematics and Statistics
Measurement techniques
Random variables
Regression analysis
Statistical Theory and Methods
Statistics
Statistics for Business
Studies
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