Analytical Methods in Statistics: AMISTAT, Prague, November 2015

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Jaromír Antoch, Jana Jurečková, Matúš Maciak, Michal Pešta
Springer, Jan 24, 2017 - Mathematics - 207 pages

This volume collects authoritative contributions on analytical methods and mathematical statistics. The methods presented include resampling techniques; the minimization of divergence; estimation theory and regression, eventually under shape or other constraints or long memory; and iterative approximations when the optimal solution is difficult to achieve. It also investigates probability distributions with respect to their stability, heavy-tailness, Fisher information and other aspects, both asymptotically and non-asymptotically. The book not only presents the latest mathematical and statistical methods and their extensions, but also offers solutions to real-world problems including option pricing. The selected, peer-reviewed contributions were originally presented at the workshop on Analytical Methods in Statistics, AMISTAT 2015, held in Prague, Czech Republic, November 10-13, 2015.

 

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Contents

A Weighted Bootstrap Procedure for Divergence Minimization Problems
1
Asymptotic Analysis of Iterated 1Step HuberSkip MEstimators with Varying CutOffs
23
Regression Quantile and Averaged Regression Quantile Processes
53
Stability and HeavyTailness
63
Smooth Estimation of Error Distribution in Nonparametric Regression Under Long Memory
73
Testing Shape Constraints in Lasso Regularized Joinpoint Regression
105
On Existence of Explicit Asymptotically Normal Estimators in Nonlinear Regression Problems
159
On the Behavior of the Risk of a LASSOType Estimator
188
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About the author (2017)

Jaromír Antoch is a full professor at the Charles University in Prague. His research interests include statistical computing, simulations, change point detection, robust and nonparametric statistics, industrial statistics and applications. He was chairman of the European Regional Section of the International Association for Statistical Computing (IASC) Board of Directors, president of IASC and council member of the International Statistical Institute.

Jana Jurečková is a full professor at the Charles University in Prague. She has published over 130 papers in leading journals and coauthored 5 monographs. She has worked on relationships and behavior of robust estimators and nonparametric procedures since the 1970s. She has worked as a visiting professor in Belgium, France, Italy, Switzerland and the USA. She is elected member of the International Statistical Institute, fellow of the Institute of Mathematical Statistics, member of the Bernoulli Society Council and of the ASA Noether’s Award Committee.

Matúš Maciak is an assistant professor at the Charles University in Prague. His research work focuses on nonparametric estimation methods, change point detection and robustness. Recently he elaborated contemporary ideas in sparse fitting via convex optimization – atomic pursuit and lasso. He also gained experience during his stays at the University of Alberta in Edmonton, Hasselt University and the University of Hamburg.

Michal Pešta is an assistant professor at the Charles University in Prague. His research interests include asymptotic methods for weak dependence, resampling methods, panel data, nonparametric regression, and errors-in-variables modeling. In the recent years, he has been developing the statistical methodology for non-life insurance. Michal Pešta has utilized the skills gained during his PhD and postdoctoral stays (Hasselt University, University of Hamburg, HU Berlin, University of Alberta) to contribute to applied fields.

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