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Goodness‐of‐fit tests for parametric models in censored regression
Author(s) -
PardoFernández Juan Carlos,
Van Keilegom Ingrid,
GonzálezManteiga Wenceslao
Publication year - 2007
Publication title -
canadian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.804
H-Index - 51
eISSN - 1708-945X
pISSN - 0319-5724
DOI - 10.1002/cjs.5550350204
Subject(s) - goodness of fit , statistics , parametric statistics , mathematics , kolmogorov–smirnov test , nonparametric statistics , regression analysis , monte carlo method , parametric model , statistical hypothesis testing , nonparametric regression , econometrics
The authors propose a goodness‐of‐fit test for parametric regression models when the response variable is right‐censored. Their test compares an estimation of the error distribution based on parametric residuals to another estimation relying on nonparametric residuals. They call on a bootstrap mechanism in order to approximate the critical values of tests based on Kolmogorov‐Smirnov and Cramér‐von Mises type statistics. They also present the results of Monte Carlo simulations and use data from a study about quasars to illustrate their work.
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