Inhalt

[ 536DASCICSV21 ] VL Introduction to Computational Statistics

Versionsauswahl
Workload Education level Study areas Responsible person Hours per week Coordinating university
3 ECTS B3 - Bachelor's programme 3. year (*)Artificial Intelligence Angela Bitto-Nemling 2 hpw Johannes Kepler University Linz
Detailed information
Original study plan Bachelor's programme Artificial Intelligence 2025W
Learning Outcomes
Competences
Students have the ability to understand and apply advanced concepts of computational statistics, including Bayesian statistics, random processes and non-linear optimization, random number generation, and statistical inference. They are capable of independently implementing and correctly applying these computational methods to analyze data and solve complex statistical problems.
Skills Knowledge
  • Implementing Computational Statistics Methods (k4)

Students can implement key computational statistics techniques such as non-linear optimization, root finding, and the EM algorithm to analyze statistical problems effectively.

  • Generating and Applying Pseudorandom Numbers (k3)

Students are able to use algorithms for pseudorandom number generation and apply these numbers in statistical simulations and analyses.

  • Applying Numerical Methods (k4)

Students can use numerical integration techniques and employ methods like Jackknife and bootstrap for statistical precision and variance estimation.

  • Performing Permutation Tests and Regression Analysis (k5)

Students are capable of performing permutation tests to evaluate hypotheses and conducting regression analyses to understand relationships within data.

  • Ensuring Accuracy in Statistical Computation (k5)

Students can evaluate the precision of statistical computations, understanding the implications of computer arithmetic on results and ensuring the reliability of their statistical analysis.

Students have theoretical understanding of computational statistics principles, including the EM algorithm, numerical integration, and methods to assess statistical accuracy like the Jackknife and bootstrap. They are also familiar with pseudorandom number generation, non-linear optimization, root finding, permutation tests, and regression analysis, enabling the practical application of these methods to real-world data problems.
Criteria for evaluation Exam
Methods Lecture by instructor; Discussion of the projects, where the solution is presented by the students in a project report; Independent development and application of computational statistical methods
Language English
Study material Slides. Supplementary reading (books, articles) will be announced each semester.
Changing subject? No
Corresponding lecture in combination with 536DASCICSU21: UE Introduction to Computational Statistics (1.5 ECTS) equivalent to 951STCOCSTK14 KV Computational Statistics (4 ECTS)
On-site course
Maximum number of participants -
Assignment procedure Direct assignment