Probability and Statistics

Included:

Elements of combinatorics.
Probability of random events.
Independence of random events.
Random vectors: marginal and conditional distributions.
Functions of random variables.
Numerical properties of random variables: mathematical expectation, variance of a random variable, correlation coefficient between two random variables.
Central border theorem.
Elements of statistics: population and sample, parameters and statistics.
Basic data processing and descriptive statistics.
Sample statistics distributions: normal, t-distribution, Chi-square and F-distribution.
Evaluation of landmark parameters: method of moments, method of maximum suitability, confidence intervals.
Parameter tests.
Nonparametric tests.
Linear regression, estimation by the least squares method.m events.
Properties of probabilities.
Discrete probability space.
Conditional probability.