PřF:C7490 Intr. to Stochastic Modelling - Course Information
C7490 Introduction to Stochastic Modelling
Faculty of ScienceAutumn 2001
- Extent and Intensity
- 2/0/0. 3 credit(s). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium).
- Teacher(s)
- prof. RNDr. Ladislav Dušek, Ph.D. (lecturer)
- Guaranteed by
- prof. RNDr. Ladislav Dušek, Ph.D.
Chemistry Section – Faculty of Science
Contact Person: prof. RNDr. Ladislav Dušek, Ph.D. - Prerequisites
- Knowledge on basic unidimensional exploratory statistical techniques, analysis of variance, correlation analysis, simple regression.
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Analytical Chemistry (programme PřF, M-CH)
- Inorganic Chemistry (programme PřF, M-CH)
- Biochemistry (programme PřF, M-CH)
- Ecotoxicology (programme PřF, M-BI)
- Ecotoxicology (programme PřF, N-BI)
- Physical Chemistry (programme PřF, M-CH)
- Chemistry (programme PřF, M-CH)
- Environmental Chemistry (programme PřF, M-CH)
- Macromolecular Chemistry (programme PřF, M-CH)
- Organic Chemistry (programme PřF, M-CH)
- Course objectives
- Basic mathematical procedures with vectors and matrices, linear equations. Introduction to modelling.
Markov chains. Applications in modelling of succession of ecosystem, structure of biological populations.
Non - homogeneous Markov chains in ecology. Leslie matrix.
Simple applications of regression analysis.
Estimation of optimum of environmental parameters. Gaussian curves. Indicator species values.
Logistic regression - one- and multivariate model.
Multivariate linear regression. The least square method. The maximum likehood method.
Generalized multivariate linear model. Analysis of residuals - homoscedacity. Autocorrelation.
Role of correlation analysis in multivariate regression. Multicolinearity.
Nonlinear regression.
Modelling using contingency tables in ecology.
Introduction to time series analysis. Autocorrelation. Trend analysis. Non-parametric methods for estimation of trends.
Application of regression in trend analysis. Polynomial regression.
Box-Jwenkins modelling. Spline methods. Forecasting from time series. - Language of instruction
- Czech
- Further Comments
- The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.
- Enrolment Statistics (Autumn 2001, recent)
- Permalink: https://is.muni.cz/course/sci/autumn2001/C7490