Terminated in academic year 2010/2011

Mathematical Theory of Reliability

Type of study	Doctoral
Language of instruction	Czech
Code	457-0907/01
Abbreviation	MTS
Course title	Mathematical Theory of Reliability
Credits	10
Coordinating department	Department of Applied Mathematics
Course coordinator	prof. Ing. Radim Briš, CSc.

Subject syllabus

Lectures:

Reliability mathematics.Reliability data analysis. Hazard function,
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.

Literature

Barlow R.E., Proschan F.; Mathematical Theory of Reliability, SIAM 1996, ISBN 0-89871-369-2
Misra K.B.; Reliability Analysis and Prediction, Elsevier 1992, ISBN 0-444-89606-6.

Fleming T.R., Harrington D.P.: Counting Processes and Survival Analysis, Wiley 1991, ISBN 0-471-52218-X.
Modares M.; What Every Engineer Should Know About Reliability and Risk Analysis, Dekker 1993 ISBN 0-8247-8958-X.
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

Advised literature

Hurt J.: Teorie spolehlivosti, MFF UK Praha 1984.

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