Project information
Jaroslav Hájek Center for Theoretical and Applied Statistics
- Project Identification
- LC06024
- Project Period
- 3/2006 - 12/2011
- Investor / Pogramme / Project type
-
Ministry of Education, Youth and Sports of the CR
- Basic Research Center
- MU Faculty or unit
-
Faculty of Science
- prof. RNDr. Ivanka Horová, CSc.
- doc. RNDr. Petr Lánský, DrSc.
- prof. RNDr. Gejza Wimmer, DrSc.
- Mgr. Jiří Zelinka, Dr.
- Keywords
- Statistical tests and estimates, regression, calibration, approximation and smoothing methods, extreme values, time series
- Cooperating Organization
-
Technical University Liberec
- Responsible person prof. RNDr. Jan Picek, CSc.
- Responsible person prof. RNDr. Jana Jurečková, DrSc.
Center will contribute to development of theoretical and applied statistics. Namely, we expect new results and innovations in the following areas: (1) in the environmental and meteorological sciences: (modeling the regional rate of the rainfall bothin time and space; the interrelations between extreme climatic conditions and mortality or hospitalization; time series of the size of the ozone layer, etc.), (2) in the insurance and finance (applications of statistical tests on the Pareto index of theprobability distribution of insurance payments, time development and abrupt changes of exchange rates, etc.), (3) in the technology (fatigue and reliability of materials with respect to possible extreme conditions, etc.) (4) in the metrology (designa nd evaluation of complex measurements, calibration, etc.), (5) in the biology, medicine, in the modeling and analysis of DNA microarrays (with the use of results on nonparametric smoothing techniques and parametric models for estimating the risk functions, ROC curves, etc.), (6) in the information transmission (applications of stochastic methods in construction of artifial censors for detection of harmful chemicals, drugs, etc.).
Results
Center will contribute to development of theoretical and applied statistics. Namely, we expect new results and innovations in the following areas: (1) in the environmental and meteorological sciences: (modeling the regional rate of the rainfall bothin time and space; the interrelations between extreme climatic conditions and mortality or hospitalization; time series of the size of the ozone layer, etc.), (2) in the insurance and finance (applications of statistical tests on the Pareto index of theprobability distribution of insurance payments, time development and abrupt changes of exchange rates, etc.), (3) in the technology (fatigue and reliability of materials with respect to possible extreme conditions, etc.) (4) in the metrology (designa nd evaluation of complex measurements, calibration, etc.), (5) in the biology, medicine, in the modeling and analysis of DNA microarrays (with the use of results on nonparametric smoothing techniques and parametric models for estimating the risk functions, ROC curves, etc.), (6) in the information transmission (applications of stochastic methods in construction of artifial censors for detection of harmful chemicals, drugs, etc.).
Publications
Total number of publications: 118
2018
-
Biological and physiological phenomena in view of applied bifurcation theory
Year: 2018, type: Appeared in Conference without Proceedings
2013
-
Full bandwidth matrix selectors for gradient kernel density estimate
Computational Statistics & Data Analysis, year: 2013, volume: 57, edition: 1, DOI
2012
-
Encyclopedia of Environmetrics : Kernel Density Estimation
Encyclopedia of Environmetrics, edition: Vyd. Second Edition, year: 2012, number of pages: 5 s.
-
Estimating the standard uncertainty contribution of the straight-line fit algorithm used to determine the position and width of a graduation line
Metrologia, year: 2012, volume: 49, edition: 3, DOI
-
Estimation of the current disease-free survival function
Workshop of the Jaroslav Hájek Center and Financial Mathematics in Practice I, Book of short papers, year: 2012
-
Kernel regression model for total ozone data
Year: 2012, type:
-
Kernel Smoothing in MATLAB: Theory and Practice of Kernel Smoothing
Year: 2012, number of pages: 244 s.
-
Matlab Toolbox for Kernel Estiamtes of Distribution Function
Year: 2012
-
New integrated view at partial-sums distributions
Tatra Mountais Mathematical Publications, year: 2012, volume: 51, edition: 1, DOI
-
Two calibration models
Proceedings of XX IMEKO World Congress, year: 2012