To enable a student to apply basic statistical methods in geophysical context and to critically examine the obtained results.
Elements of probability, conditional probability, Bayes theorem, Bayes factor, the persistence as conditional probability. Random variables and vectors, mathematical expectation, joint, marginal and conditional distributions, independence. Descriptive statistics. Empirical distributions and parameter fitting. Some theoretical distributions with application in
geophysics. Hypothesis testing. Simple and multiple linear regression with geometrical interpretation. Bivariate normal distribution. Basics of time series analysis. Tests for data homogeneity.
Students will be able to:
- define and discuss basic probability terms
- distinguish types of random variables and describe their properties
- apply mathematical expectation in practice
- relate the independence of random variables with the intuitive idea of independence
- relate properties of random variables with statistical attributes of empirical data sets
- explain and apply methods for parameter estimation
- define and recognize the applicability of theoretical probability distributions
- critically apply statistical tests
- explain and apply the method of linear regression using the geometrical representation.
- attending lectures, study of literature and lecture notes
- analyzing examples, solving of assigned problems
- doing homework based on small sets of real data
- presentation, discussion
- problems to be solved by student himself
METHODS OF MONITORING AND VERIFICATION:
Preliminary, written and oral exam.
TERMS FOR RECEIVING THE SIGNATURE:
Regular class attendance. Homework.
Written and oral exam.