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Conditional quantiles are required in various economic, biomedical or industrial problems. Lack of objective basis for ordering multivariate observations is a major problem in extending the notion of quantiles or conditional quantiles (also called regression quantiles) in a multidimensional setting. We present characterisations of the spatial quantiles and the corresponding estimators. Nonparametric...
Presented approach describe some functional which is robust measures based on quantiles. We consider the multivariate context and utilize the spatial quantiles. We notice an extension of univariate quantiles and we presented nonparametric measures of multivariate location, spread, skewness and kurtosis. In modeling extreme risk important properties are based on heavy-tailed distribution. We present...
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