470-4402/02 – Statistics II (S II)

Gurantor departmentDepartment of Applied MathematicsCredits6
Subject guarantorprof. Ing. Radim Briš, CSc.Subject version guarantorprof. Ing. Radim Briš, CSc.
Study levelundergraduate or graduateRequirementCompulsory
Year2Semesterwinter
Study languageEnglish
Year of introduction2015/2016Year of cancellation
Intended for the facultiesFEIIntended for study typesFollow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
BRI10 prof. Ing. Radim Briš, CSc.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2
Part-time Credit and Examination 10+10

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:

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.

Recommended literature:

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

Additional study materials

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

There are not defined other requirements for student.

Prerequisities

Subject has no 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, proportional hazard models, survival analysis. Markov processes, discrete parameter Markov chains, continuous time Markov chains. Bayes theory of estimation.

Conditions for subject completion

Full-time form (validity from: 2019/2020 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 40  20
        Examination Examination 60  15 3
Mandatory attendence participation: Participation at all exercises is obligatory, 2 apologies are accepted. Participation at lectures is recommended, knowledge of lecture materials is a prerequisite for participation at the exercises.

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Conditions for subject completion and attendance at the exercises within ISP: Completion of all mandatory tasks within individually agreed deadlines.

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Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2024/2025 (N0541A170008) Computational and Applied Mathematics (S02) Computational Methods and HPC AMv P English Ostrava 2 Compulsory study plan
2024/2025 (N0541A170008) Computational and Applied Mathematics (S01) Applied Mathematics NMS P English Ostrava 2 Compulsory study plan
2023/2024 (N0541A170008) Computational and Applied Mathematics (S02) Computational Methods and HPC AMv P English Ostrava 2 Compulsory study plan
2023/2024 (N0541A170008) Computational and Applied Mathematics (S01) Applied Mathematics NMS P English Ostrava 2 Compulsory study plan
2022/2023 (N0541A170008) Computational and Applied Mathematics (S01) Applied Mathematics NMS P English Ostrava 2 Compulsory study plan
2022/2023 (N0541A170008) Computational and Applied Mathematics (S02) Computational Methods and HPC AMv P English Ostrava 2 Compulsory study plan
2021/2022 (N0541A170008) Computational and Applied Mathematics (S01) Applied Mathematics NMS P English Ostrava 2 Compulsory study plan
2021/2022 (N0541A170008) Computational and Applied Mathematics (S02) Computational Methods and HPC AMv P English Ostrava 2 Compulsory study plan
2021/2022 (N2647) Information and Communication Technology (1103T031) Computational Mathematics P English Ostrava 2 Compulsory study plan
2020/2021 (N2647) Information and Communication Technology (1103T031) Computational Mathematics P English Ostrava 2 Compulsory study plan
2020/2021 (N0541A170008) Computational and Applied Mathematics (S02) Computational Methods and HPC AMv P English Ostrava 2 Compulsory study plan
2020/2021 (N0541A170008) Computational and Applied Mathematics (S01) Applied Mathematics NMS P English Ostrava 2 Compulsory study plan
2019/2020 (N2647) Information and Communication Technology (1103T031) Computational Mathematics P English Ostrava 2 Compulsory study plan
2019/2020 (N2647) Information and Communication Technology (1103T031) Computational Mathematics K English Ostrava 2 Compulsory study plan
2019/2020 (N0541A170008) Computational and Applied Mathematics (S01) Applied Mathematics NMS P English Ostrava 2 Compulsory study plan
2019/2020 (N0541A170008) Computational and Applied Mathematics (S02) Computational Methods and HPC AMv P English Ostrava 2 Compulsory study plan
2018/2019 (N2647) Information and Communication Technology (1103T031) Computational Mathematics P English Ostrava 2 Compulsory study plan
2018/2019 (N2647) Information and Communication Technology (1103T031) Computational Mathematics K English Ostrava 2 Compulsory study plan
2017/2018 (N2647) Information and Communication Technology (1103T031) Computational Mathematics P English Ostrava 2 Compulsory study plan
2017/2018 (N2647) Information and Communication Technology (1103T031) Computational Mathematics K English Ostrava 2 Compulsory study plan
2016/2017 (N2647) Information and Communication Technology (1103T031) Computational Mathematics P English Ostrava 2 Compulsory study plan
2016/2017 (N2647) Information and Communication Technology (1103T031) Computational Mathematics K English Ostrava 2 Compulsory study plan
2015/2016 (N2647) Information and Communication Technology (1103T031) Computational Mathematics P English Ostrava 2 Compulsory study plan
2015/2016 (N2647) Information and Communication Technology (1103T031) Computational Mathematics K English Ostrava 2 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

Assessment of instruction



2018/2019 Winter