Welcome to the personal pages of Marek Omelka. Currently I am
employed at the
Jaroslav Hájek Center for Theoretical and Applied Statistics
by the Mathematical-Physical Faculty of Charles University in Prague.
ICORS 2010
Research interests :
Asymptotic statistics -- M- and R-estimation,
copulas...
My PhD thesis is dealing with the second order properties of some M- and R-estimators.
Referred publications :
Omelka, M. (2008).
Comparison of
two types of confidence intervals based on Wilcoxon-type R-estimators.
Statistics and Probability Letters -- Accepted.
Omelka, M., Salibian-Barrera M. (2008).
Uniform asymptotics for S- and MM-regression estimators.
Annals of the Institute of Statistical Mathematics -- Accepted.
Omelka, M. (2007).
Second Order Linearity of
Wilcoxon Rank Stastistics.
Annals of the Institute of Statistical Mathematics, Volume 59, 385--402
Omelka, M. (2006).
An alternative method for constructing confidence intervals from M-estimates in linear models.
In the proceedings of Prague Stochastics 2006.
Omelka, M. (2005).
The Behavior
of Locally Most Powerfull Tests. Kybernetika, Volume 41, Number 6, 699--712.
Omelka, M. (2004).
The Test of Full Specification of the Normal Distribution.
In: Antoch, J., Dohnal,
G. (Eds.) ROBUST 2004, Proceedings of the 13th Summer School of
the Union of Czech Mathematicians and Physicists, 267--275.