457-0311/01 – Statistics II (S II)
Gurantor department | Department of Applied Mathematics | Credits | 6 |
Subject guarantor | prof. Ing. Radim Briš, CSc. | Subject version guarantor | prof. Ing. Radim Briš, CSc. |
Study level | undergraduate or graduate | Requirement | Compulsory |
Year | 3 | Semester | winter |
| | Study language | Czech |
Year of introduction | 2003/2004 | Year of cancellation | 2009/2010 |
Intended for the faculties | FEI | Intended for study types | Follow-up Master |
Subject aims expressed by acquired skills and competences
The aim of the subject is to introduce new advanced statistical methods frequently used in both research and practice. Basic scope of the subject is reliability theory.
Teaching methods
Lectures
Tutorials
Project work
Summary
Main orientation in the subject: Reliability mathematics, Reliability data analysis.
Compulsory literature:
Recommended literature:
Way of continuous check of knowledge in the course of semester
Conditions for credit:
Semestral project, obtaining at least 15 points
E-learning
Other requirements
Prerequisities
Co-requisities
Subject has no co-requisities.
Subject syllabus:
Lectures:
Reliability mathematics.
Reliability data analysis.
Hazard functions, relation of hazard to probability density and distribution functions, cumulative hazard function, common types of hazard functions Weibull, Gamma and Lognormal distributions - properties.
Statistical methods for single samples, maximum likelihood estimation: generalities and illustrations.
Cenzored data.
Regression models for reliability data, accelerated life data, proportional hazard models.
Markov processes, discrete parameter Markov chains, continuous time Markov chains.
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
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