457-0311/02 – 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 graduateRequirementChoice-compulsory
Year2Semesterwinter
Study languageCzech
Year of introduction2003/2004Year of cancellation2009/2010
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
Combined Credit and Examination 2+2

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. 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

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

Way of continuous check of knowledge in the course of semester

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

E-learning

Další požadavky na studenta

Prerequisities

Subject codeAbbreviationTitleRequirement
457-0516 STA1 Statistics I Recommended

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

Full-time form (validity from: 1960/1961 Summer semester, validity until: 2008/2009 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (100) 51
        Exercises evaluation Credit 30 (30) 0
                Project Project 10  0
                Written exam Written test 20  0
        Examination Examination 70 (70) 0
                Written examination Written examination 40  0
                Oral Oral examination 30  0
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2009/2010 (N2647) Information and Communication Technology (1103T031) Computational Mathematics P Czech Ostrava 2 Choice-compulsory study plan
2009/2010 (N2647) Information and Communication Technology (1103T031) Computational Mathematics K Czech Ostrava 2 Choice-compulsory study plan
2008/2009 (N2647) Information and Communication Technology (1103T031) Computational Mathematics P Czech Ostrava 2 Choice-compulsory study plan
2008/2009 (N2647) Information and Communication Technology (1103T031) Computational Mathematics K Czech Ostrava 2 Choice-compulsory study plan
2007/2008 (N2647) Information and Communication Technology (1103T031) Computational Mathematics P Czech Ostrava 2 Choice-compulsory study plan
2007/2008 (N2647) Information and Communication Technology (1103T031) Computational Mathematics K Czech Ostrava 2 Choice-compulsory study plan
2006/2007 (N2647) Information and Communication Technology (1103T031) Computational Mathematics P Czech Ostrava 2 Choice-compulsory study plan
2006/2007 (N2647) Information and Communication Technology (1103T031) Computational Mathematics K Czech Ostrava 2 Choice-compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner