Stochastic Methods

Education facts

Code: MAGB64

Probability theory: Sample spaces, events, and probabilities. Combinatorics. Independent events, conditional probabilities. Discrete and continuous random variables. Common probability distributions, especially the normal, exponential, binomial, and Poisson distributions. Functions of random variables. Expected values, variance, covariance, and correlation. The law of large numbers and the central limit theorem. Stochastic processes, random walks, and Poisson processes. Statistical methods: The Chi-square and t-distributions. Point estimates, unbiased and consistent estimates. Estimation with the maximum likelihood and least squares methods. Confidence intervals and test of significance, especially of the normal, binomial, and Poisson distributions and in situations where the central limit theorem can be applied. Different forms of misleading statistics. Regression analysis.

Entry requirements

Registered on Mathematics 30 ECTS credits, including the courses Calculus and Geometry, 7.5 ECTS credits, and Calculus in several variables, 7.5 ECTS credits, of which 15 ECTS credits must be completed.

Education offerings

Each offering has its own dates and conditions. Closed offerings are retained as history and do not mean that a new application is open.

• Stochastic Methods

  Karlstad University

  Karlstad

  Start date: 18 January 2027

  End date: 28 March 2027

  Pace of study: 50 %