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 | Choice-compulsory |

Year | 2 | Semester | winter |

Study language | Czech | ||

Year of introduction | 2010/2011 | Year of cancellation | |

Intended for the faculties | FEI | Intended for study types | Follow-up Master |

Instruction secured by | |||
---|---|---|---|

Login | Name | Tuitor | Teacher giving lectures |

BRI10 | prof. Ing. Radim Briš, CSc. |

Extent of instruction for forms of study | ||
---|---|---|

Form of study | Way of compl. | Extent |

Full-time | Credit and Examination | 2+2 |

Part-time | Credit and Examination | 9+9 |

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.

Lectures

Tutorials

Project work

Main orientation in the subject: Reliability mathematics, Reliability data analysis.

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.

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

Conditions for credit:
Semestral project, obtaining at least 15 points

There are not defined other requirements for student.

Subject has no prerequisities.

Subject has no co-requisities.

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.

Task name | Type of task | Max. number of points
(act. for subtasks) | Min. number of points |
---|---|---|---|

Exercises evaluation and Examination | Credit and Examination | 100 (100) | 51 |

Exercises evaluation | Credit | 30 | 10 |

Examination | Examination | 70 | 21 |

Show history

Academic year | Programme | Field of study | Spec. | Zaměření | Form | Study language | Tut. centre | Year | W | S | Type of duty | |
---|---|---|---|---|---|---|---|---|---|---|---|---|

2021/2022 | (N0541A170007) Computational and Applied Mathematics | (S01) Applied Mathematics | NMS | P | Czech | Ostrava | 2 | Compulsory | study plan | |||

2021/2022 | (N0541A170007) Computational and Applied Mathematics | (S02) Computational Methods and HPC | AMv | K | Czech | Ostrava | 2 | Compulsory | study plan | |||

2021/2022 | (N0541A170007) Computational and Applied Mathematics | (S02) Computational Methods and HPC | AMv | P | Czech | Ostrava | 2 | Compulsory | study plan | |||

2021/2022 | (N0541A170007) Computational and Applied Mathematics | (S01) Applied Mathematics | NMS | K | Czech | Ostrava | 2 | Compulsory | study plan | |||

2020/2021 | (N2647) Information and Communication Technology | (1103T031) Computational Mathematics | P | Czech | Ostrava | 2 | Compulsory | study plan | ||||

2020/2021 | (N2647) Information and Communication Technology | (1103T031) Computational Mathematics | K | Czech | Ostrava | 2 | Compulsory | study plan | ||||

2020/2021 | (N0541A170007) Computational and Applied Mathematics | (S01) Applied Mathematics | NMS | K | Czech | Ostrava | 2 | Compulsory | study plan | |||

2020/2021 | (N0541A170007) Computational and Applied Mathematics | (S02) Computational Methods and HPC | AMv | P | Czech | Ostrava | 2 | Compulsory | study plan | |||

2020/2021 | (N0541A170007) Computational and Applied Mathematics | (S01) Applied Mathematics | NMS | P | Czech | Ostrava | 2 | Compulsory | study plan | |||

2020/2021 | (N0541A170007) Computational and Applied Mathematics | (S02) Computational Methods and HPC | AMv | K | Czech | Ostrava | 2 | Compulsory | study plan | |||

2019/2020 | (N2647) Information and Communication Technology | (1103T031) Computational Mathematics | P | Czech | Ostrava | 2 | Compulsory | study plan | ||||

2019/2020 | (N2647) Information and Communication Technology | (1103T031) Computational Mathematics | K | Czech | Ostrava | 2 | Compulsory | study plan | ||||

2019/2020 | (N0541A170007) Computational and Applied Mathematics | (S01) Applied Mathematics | NMS | P | Czech | Ostrava | 2 | Compulsory | study plan | |||

2019/2020 | (N0541A170007) Computational and Applied Mathematics | (S02) Computational Methods and HPC | AMv | P | Czech | Ostrava | 2 | Compulsory | study plan | |||

2019/2020 | (N0541A170007) Computational and Applied Mathematics | (S01) Applied Mathematics | NMS | K | Czech | Ostrava | 2 | Compulsory | study plan | |||

2019/2020 | (N0541A170007) Computational and Applied Mathematics | (S02) Computational Methods and HPC | AMv | K | Czech | Ostrava | 2 | Compulsory | study plan | |||

2018/2019 | (N2647) Information and Communication Technology | (1103T031) Computational Mathematics | P | Czech | Ostrava | 2 | Compulsory | study plan | ||||

2018/2019 | (N2647) Information and Communication Technology | (1103T031) Computational Mathematics | K | Czech | Ostrava | 2 | Compulsory | study plan | ||||

2017/2018 | (N2647) Information and Communication Technology | (1103T031) Computational Mathematics | P | Czech | Ostrava | 2 | Compulsory | study plan | ||||

2017/2018 | (N2647) Information and Communication Technology | (1103T031) Computational Mathematics | K | Czech | Ostrava | 2 | Compulsory | study plan | ||||

2016/2017 | (N2647) Information and Communication Technology | (1103T031) Computational Mathematics | P | Czech | Ostrava | 2 | Compulsory | study plan | ||||

2016/2017 | (N2647) Information and Communication Technology | (1103T031) Computational Mathematics | K | Czech | Ostrava | 2 | Compulsory | study plan | ||||

2015/2016 | (N2647) Information and Communication Technology | (1103T031) Computational Mathematics | P | Czech | Ostrava | 2 | Compulsory | study plan | ||||

2015/2016 | (N2647) Information and Communication Technology | (1103T031) Computational Mathematics | K | Czech | Ostrava | 2 | Compulsory | study plan | ||||

2014/2015 | (N2647) Information and Communication Technology | (1103T031) Computational Mathematics | P | Czech | Ostrava | 2 | Choice-compulsory | study plan | ||||

2014/2015 | (N2647) Information and Communication Technology | (1103T031) Computational Mathematics | K | Czech | Ostrava | 2 | Choice-compulsory | study plan | ||||

2013/2014 | (N2647) Information and Communication Technology | (1103T031) Computational Mathematics | P | Czech | Ostrava | 2 | Choice-compulsory | study plan | ||||

2013/2014 | (N2647) Information and Communication Technology | (1103T031) Computational Mathematics | K | Czech | Ostrava | 2 | Choice-compulsory | study plan | ||||

2012/2013 | (N2647) Information and Communication Technology | (1103T031) Computational Mathematics | P | Czech | Ostrava | 2 | Choice-compulsory | study plan | ||||

2012/2013 | (N2647) Information and Communication Technology | (1103T031) Computational Mathematics | K | Czech | Ostrava | 2 | Choice-compulsory | study plan | ||||

2011/2012 | (N2647) Information and Communication Technology | (1103T031) Computational Mathematics | P | Czech | Ostrava | 2 | Choice-compulsory | study plan | ||||

2011/2012 | (N2647) Information and Communication Technology | (1103T031) Computational Mathematics | K | Czech | Ostrava | 2 | Choice-compulsory | study plan | ||||

2010/2011 | (N2647) Information and Communication Technology | (1103T031) Computational Mathematics | P | Czech | Ostrava | 2 | Choice-compulsory | study plan | ||||

2010/2011 | (N2647) Information and Communication Technology | (1103T031) Computational Mathematics | K | Czech | Ostrava | 2 | Choice-compulsory | study plan |

Block name | Academic year | Form of study | Study language | Year | W | S | Type of block | Block owner |
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