Courses list

Wersja polska

Course code: BIS10025o14
Semester: 2014/2015 winter
Name: Estimation of Parameters
Major: Bioinformatics
Study Type: first cycle
Course type: compulsory
Study Semester: 4
ECTS points: 4
Hours (Lectures / Tutorials / Other): 15 / 30 / 0
Lecturer: dr hab. Krzysztof Topolski
Language of instruction: Polish
The course exclusively in Polish, with a possibility of support in English

Learning outcomes: During the course students learn theoretical and practical aspects of statistical estimation of parameters. The emphasis is put on teaching the statistical methods used when analysing data coming from genetics.

Competences: After completing the course student can estimate parameters of statistical distribution describing data. The students will be able to choose correctly the most suitable methods of the estimation and evaluate its accuracy. Knowing the basic methods of estimation allows the students to construct estimators in a case of data associated with typical genetics problems.

Prerequisites: Mathematics I , mathematics II, introduction to statistics, statistical analysis software.

Course content: During the course the methods of point and set estimation will be introduced. The lectures and classes will focus on describing the basic methods of construction of estimators (least squares method, method of moments and maximum likelihood method). The properties of estimators such as unbiased estimators, minimum variance unbiased estimators, asymptotically efficient estimators, asymptotically normal sequence of estimators will be discussed. Set estimation will be introduced and analysed. All introduced concepts and methods will be illustrated with the usage of data concerning mendelian genetics, population genetics, and molecular genetics.

Recommended literature: Koronacki J., Mielniczuk J. Statystyka dla studentów kierunków technicznych i przyrodniczych. WNT, Warszawa, 2001 Klonecki W. Statystyka dla inżynierów. PWN, Warszawa, 1999 Lehmann E.L. Teoria estymacji punktowej. PWN, Warszawa, 1991 Ewens W.J., Grant G.R. Statistical Methods in Bioinformatics. Springer Verlag, New York, 2001 Elandt-Johnson R.C. Probability Models and Statistical Methods in Genetics. Wiley, New York, 1971 Cavalli-Sforza L.L., Bodmer W.F. The Genetics of Human Populations. Freeman, San Francisco 1971 Waterman M.S. Introduction to Computational Biology: Maps, Sequences, and Genomes. Chapman & Hall, London, 1995

Assessment methods: Completion of training Exam Minimum 60% of knowledge to pass

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