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Combined Tail Estimation Using Censored Data and Expert Information
Martin Bladt, Hansjoerg Albrecher, Jan Beirlant
We study tail estimation in Pareto-like settings for datasets with a high percentage of randomly right-censored data, and where some expert information on the tail index is availab…
Matrix Mittag--Leffler distributions and modeling heavy-tailed risks
Hansjoerg Albrecher, Martin Bladt, Mogens Bladt
In this paper we define the class of matrix Mittag-Leffler distributions and study some of its properties. We show that it can be interpreted as a particular case of an inhomogeneo…
Threshold selection and trimming in extremes
Martin Bladt, Hansjoerg Albrecher, Jan Beirlant
We consider removing lower order statistics from the classical Hill estimator in extreme value statistics, and compensating for it by rescaling the remaining terms. Trajectories of…
Characterisation of exchangeable sequences through empirical distributions
Martin Bladt, Dimitry Shaiderman
It is a well-known fact that an exchangeable sequence has empirical distributions that form a reverse-martingale. This paper is devoted to proof of the converse statement. As a byp…