Abstract

In this article estimates of the p quantile, xP, of the logistic distribution are considered. The estimators investigated are are the maximum likelihood and moment estimators, respectively, for the mean y and standard deviation σ. The values of L and M were selected to give minimum mean square error in the predicted distribution function and also to make the true distribution function evaluated at the estimated quantile unbiased for p. In addition, small-sample and asymptotic probability intervals are provided for the true distribution function evaluated at the estimated quantile. The natural estimators do not perform well with respect to the criteria investigated.

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