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.