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Consistency and Asymptotic Normality of the Minimum Logit Chi-Squared Estimator When the Number of Design Points is Large
Linda June Davis
The Annals of Statistics
Vol. 13, No. 3 (Sep., 1985), pp. 947-957
Published by: Institute of Mathematical Statistics
Stable URL: http://www.jstor.org/stable/2241117
Page Count: 11
You can always find the topics here!Topics: Estimators, Maximum likelihood estimation, Consistent estimators, Statistical estimation, Maximum likelihood estimators, Point estimators, Infinity, Logistic regression, Least squares, Regression analysis
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When the number of design points goes to infinity, we show that the minimum logit chi-squared estimator of the parameter in a linear logistic regression model for binomial response data is asymptotically normal. We also give conditions under which it is consistent.
The Annals of Statistics © 1985 Institute of Mathematical Statistics