Project information
Jaroslav Hájek Center for Theoretical and Applied Statistics
- Project Identification
- LC06024
- Project Period
- 3/2006 - 12/2011
- Investor / Pogramme / Project type
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Ministry of Education, Youth and Sports of the CR
- Basic Research Center
- MU Faculty or unit
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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
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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: 117
2007
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Nonparametric and parametric methods in diagnostics and classification of biological processes
Book of short papers, year: 2007
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On boundary correction in kernel estimation of ROC curves
Year: 2007, type: Conference abstract
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On boundary correction in kernel estimation of ROC curves
Year: 2007, type: Appeared in Conference without Proceedings
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Remark on extreme regression quantile
Sankhya, year: 2007, volume: 69, edition: 1
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Robust and nonparametric inference
Year: 2007, type: Workshop
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Semiparametric Estimation of Hazard Function for Cancer Patients
Sankhya: The Indian Journal of Statistic, year: 2007, volume: 69, edition: 3
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Shapiro-Wilk type test of normality under nuisance regression and scale
Computational Statistics & Data Analysis, year: 2007, volume: 21, edition: 10
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Smooth estimates of density and distribution function with application to hydrological data
Year: 2007, type:
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Smooth Estimates of Distribution Functions with Application in Environmental Studies
Year: 2007, type: Conference abstract
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Smooth Estimates of Distribution Functions with Application in Environmental Studies
Year: 2007, type: Appeared in Conference without Proceedings