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Confidence sets and coverage probabilities based on preliminary estimators in logistic regression models

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Publication Date
2009-02-01
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Menéndez Calleja, María Luisa
Pardo Llorente, María del Carmen
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Elsevier Science Bv
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In this paper we present recentered confidence sets for the parameters of a logistic regression model based on preliminary minimum phi-divergence estimators. Asymptotic coverage probabilities are given as well as a simulation study in order to analyze the coverage probabilities for small and moderate sample sizes.
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P.C. Chiou, A.K.Md.E. Saleh, Preliminary test confidence sets for the mean of a multivariate normal distribution, Journal of Propagations in Probability and Statistics 2 (2002) 177–189. N. Cressie, T.R.C. Read, Multinomial goodness-of-fit tests, Journal of the Royal Statistical Society, Series B 46 (1984) 440–464. M.L. Menéndez, J.A. Pardo, L. Pardo, Phi-divergence test statistics for testing linear hypotheses in logistic regression models, Communication in Statistics (Theory and Methods) 37 (4) (2008) 494–507. M.L. Menéndez, L. Pardo, M.C. Pardo, Preliminary phi-divergence test estimators for linear restrictions in a logistic regression model, Statistical Papers (2008), doi:10.1007/s00362–007-0078-z. J.A. Pardo, L. Pardo, M.C. Pardo, Minimum φ-divergence estimators in Logistic Regression Models, Statistical Papers 47 (2005) 92–108. L. Pardo, Statistical Inference Based on Divergence Measures, Chapman & Hall/CRC, New York, 2006. A.K.Md.E. Saleh, Theory of Preliminary Test and Stein-Type Estimation with Applications, John Wiley, 2006.
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