COURSE OBJECTIVES:
To enable a student to apply basic statistical methods in geophysical context and to critically examine the obtained results.
COURSE CONTENT
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.
LEARNING OUTCOMES
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.
LEARNING MODE:
 attending lectures, study of literature and lecture notes
 analyzing examples, solving of assigned problems
 doing homework based on small sets of real data
TEACHING METHODS:
 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.
EXAMINATION METHODS:
Written and oral exam.
