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Statistica Sinica 14(2004), 333-347





LINEAR HYPOTHESIS TESTING IN CENSORED

REGRESSION MODELS


L. C. Zhao


University of Science and Technology of China


Abstract: For testing a linear hypothesis in a censored regression (or censored ``Tobit'') model, three test criteria and four test statistics based on least absolute deviations estimates of parameters are proposed and their limiting chi-square distributions are established. Some consistent estimates of nuisance parameters are obtained for use in computing the test statistics. A simulation study for small sample performance of these test statistics is made by using iterative linear programming.



Key words and phrases: Censored regression model, least absolute deviations method, limiting distribution, linear hypothesis testing.



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