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In this paper, we study the efficiency of an explicit approximated estimator of shape parameter p in a generalized Gaussian distribution. An estimator for p based on the method of moments does not always exist. However, such an estimator can be found with high probability for most practical situations. The proposed estimator is an explicit approximate solution to the transcendental estimator obtained...
In previous works valuable tools in testing statistical hypotheses about the means of fuzzy random variables have been developed. In this paper we present a study about the power function of an asymptotic procedure for the one-sample test. More precisely, the behaviour of the statistic under local alternatives is analyzed. The procedure is carried out on the basis of a metric between fuzzy sets defined...
In this paper we consider a new asymmetry coefficient for random variables. This measure of skewness is based on a fuzzy representation of real-valued random variables which characterize the distribution of the original random variable through the expected value of the 'fuzzified' one. This representation has been recently introduced by the authors in a statistical inferential context. On the basis...
A natural way of quantifying the degree of linear dependence between two fuzzy random variables in certain models is analyzed. In these models, the linear relationship is formalized in terms of a regression model based on the usual arithmetic for fuzzy sets. The degree of linear relationship is proposed to be measured by means of a kind of determination coefficient, that is, through the proportion...
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