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Pareto tail index estimation revisited

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MAP20071507860
Finkelstein, Mark
Pareto tail index estimation revisited / Mark Finkelstein, Howard G. Tucker and Jerry Alan Veeh
An estimator of the tail index of a Pareto distribution is given that is based on the use of the probability integral transform. This new estimator provides performance that is comparable to the best robust estimators, while retaining conceptual and computational simplicity. A tuning parameter in the new estimator can be adjusted to control the tradeoff between robustness and efficiency. The method used to compute the estimator also can be used to find a confidence interval for the tail index that is guaranteed to have the nominal confidence level for any given sample size. Guidelines for the use of the new estimator are provided
En: North American Actuarial Journal. - Schaumburg, Illinois. - Vol. 10, nº 1, January 2006 ; p. 1-10
1. Estadística . 2. Cálculo actuarial . 3. Métodos actuariales . 4. Matemática financiera . 5. Matemática del seguro . 6. Modelos probabílisticos . I. Tucker, Howard G. . II. Veeh, Jerry Alan . III. Title.