Bootstrap method for some estimators based on fuzzy data
The bootstrap (Efron, Ann. Statist. 7 (1979) 1-26) is a simple and straightforward method for calculating approximated biases, standard deviations, confidence intervals, and so forth, in almost any nonparametric estimation problem. In this paper, we consider another example, namely, fuzzy data, and use the bootstrap to answer several questions concerning the minimum inaccuracy estimator (Corral and Gil, Stochastica 3 (1983) 63-81): (a) What is: the standard error of this estimator? (b) What is a reasonable confidence interval for such an estimate? The validity of bootstrap method is investigated using a real data and computer simulation. (C) 2001 Elsevier Science B.V. All rights reserved.
bootstrap fuzzy data minimum inaccuracy estimator