Uniwersytet Wrocławski Uniwersytet Wrocławski

Wydział Matematyki i Informatyki

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poniedziałek, Październik 29, 2018
Dziekan Wydziału serdecznie zaprasza pracowników oraz studentów na seminarium wydziałowe, które odbędzie się we wtorek 6 listopada o godz. 12.30 (Instytut Informatyki, sala 119). Prelegentem będzie prof. Elvezio Ronchetti (University of Geneva), który wygłosi wykład pt. "An Introduction to the Basic Concepts of Robust Statistics". Przed seminarium, o godz. 12.00, Dziekan zaprasza na kawę i ciastka.


Classical statistics relies largely on parametric models. Typically, assumptions are made on the structural and the stochastic parts of the model and optimal procedures are derived under these assumptions. Standard examples are least squares estimators in linear models and their extensions, maximum likelihood estimators and the corresponding likelihood-based tests, and GMM techniques in econometrics.
Robust statistics deals with deviations from the stochastic assumptions and their dangers for classical estimators and tests and develops statistical procedures which are still reliable and reasonably efficient in the presence of such deviations. It can be viewed as a statistical theory dealing with approximate parametric models by providing a reasonable compromise between the rigidity of a strict parametric approach and the potential difficulties of interpretation of a fully nonparametric analysis.
Many classical procedures are well-known for not being robust. These procedures are optimal when the assumed model holds exactly, but they are biased and/or inefficient when small deviations from the model are present. The statistical results obtained from many standard classical procedures on real data applications can therefore be misleading.
This talk will give a brief introduction to robust statistics by reviewing some basic general concepts and tools and by showing how they can be used in data analysis to provide an alternative complementary analysis with additional useful information. Some recent developments in high-dimensional problems will also be outlined.