| Course Unit Code | 470-4402/01 |
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| Number of ECTS Credits Allocated | 6 ECTS credits |
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| Type of Course Unit * | Compulsory |
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| Level of Course Unit * | Second Cycle |
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| Year of Study * | Second Year |
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| Semester when the Course Unit is delivered | Winter Semester |
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| Mode of Delivery | Face-to-face |
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| Language of Instruction | Czech |
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| Prerequisites and Co-Requisites | Course succeeds to compulsory courses of previous semester |
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| Name of Lecturer(s) | Personal ID | Name |
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| BRI10 | prof. Ing. Radim Briš, CSc. |
| Summary |
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| Main orientation in the subject: Reliability mathematics, Reliability data analysis. |
| Learning Outcomes of the Course Unit |
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| 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. |
| Course Contents |
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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, proportional hazard models, survival analysis.
Markov processes, discrete parameter Markov chains, continuous time Markov chains.
Bayes theory of estimation. |
| Recommended or Required Reading |
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| Required Reading: |
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James L.Johnson; Probability and Statistics for Computer Science, Wiley 2003, ISBN 0-471-32672-0.
Barlow R.E., Proschan F.; Mathematical Theory of Reliability, SIAM 1996, ISBN 0-89871-369-2.
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Briš R., Litschmannová M., STATISTIKA II., E-learningový prvek pro podporu výuky odborných a technických předmětů, v rámci projektu CZ.O4.01.3/3.2.15.2/0326, VŠB TU Ostrava, 2007, ISBN 978-80-248-1482-7.
Rogalewicz V.; Stochastické procesy, skriptum ČVUT Praha 1993.
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| Recommended Reading: |
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Crowder M.J., Kimber A.C., Smith R.L., Sweeting T.J.; Statistical Analysis of Reliability Data; Chapman and Hall 1991, ISBN 0-412-30560-7
Barlow R.E., Proschan F.; Mathematical Theory of Reliability, SIAM 1996, ISBN 0-89871-369-2 |
Hebák P.,Hustopecký J. a kol.: Vícerozměrné statistické metody (1-3), Informatorium, Praha 2004-2005, ISBN 80-7333-025-3
Rogalewicz V.; Stochastické procesy, skriptum ČVUT Praha 1993
Barlow R.E., Proschan F.; Mathematical Theory of Reliability, SIAM 1996, ISBN 0-89871-369-2 |
| Planned learning activities and teaching methods |
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| Lectures, Tutorials, Project work |
| Assesment methods and criteria |
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| Task Title | Task Type | Maximum Number of Points
(Act. for Subtasks) | Minimum Number of Points for Task Passing |
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| Exercises evaluation and Examination | Credit and Examination | 100 (100) | 51 |
| Exercises evaluation | Credit | 40 | 20 |
| Examination | Examination | 60 | 15 |