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: 118
2009
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Analysis of the Predator-Prey Model with Climax Prey Population
Acta Mathematica Universitatis Ostraviensis, year: 2009, volume: 17, edition: 1
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Bandwidth matrix choice for bivariate kernel density estimates
Book of short papers, year: 2009
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Bio-diversity in vineyards with conventional, biological and integrated treatment
Year: 2009, type: Conference abstract
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Determining the Confidence Interval for the Center and Width of a Structure in Fitting Measured Data by the Regression Line
Measurement 2009, Proceedings of the 7th International Conference on Measurement, year: 2009
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Hazard function for cancer patients and cancer cell dynamics
Journal of Theoretical Biology, year: 2009, volume: 258, edition: 3
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Intensity models for randomly censored data
Year: 2009, type:
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Interval Estimation of the Mean of a Normal Distribution Based on Quantized Obseravtions
Mathematica Slovaca, year: 2009, volume: 59, edition: 5
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Interval Estimators of the Centre and Width of a Two-Dimensional Microstructure
Measurement Science Review, year: 2009, volume: 9, edition: 4
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Kernel Regression Toolbox for Matlab
Year: 2009
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Konfidenčné intervaly založené na digitalizovaných meraniach
ROBUST 2008, Sborník prací 15. letní školy JČMF ROBUST 2008, year: 2009