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The L <Subscript>1</Subscript>-median is a robust estimator of multivariate location with good statistical properties. Several algorithms for computing the L <Subscript>1</Subscript>-median are available. Problem specific algorithms can be used, but also general optimization routines. The aim is to compare different algorithms with respect...</subscript></subscript>
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Classification of samples into two or multi-classes is to interest of scientists in almost every field. Traditional statistical methodology for classification does not work well when there are more variables (p) than there are samples (n) and it is highly sensitive to outlying observations. In...
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Efficiency and robustness are two essential concerns on statistical estimation. Unfortunately, it was widely accepted … that there existed a contradiction between achieving efficiency and robustness simultaneously. For parametric models with … asymptotic properties such as consistency, efficiency, normality, and robustness of the proposed estimator have been considered …
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In this paper we study the dependence on the loss function of the strategy, which minimises the expected shortfall risk when dealing with a financial contingent claim in the particular situation of a binomial model. After having characterised the optimal strategies in the particular cases when...
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