Course Details

Probability and mathematical statistics

Academic Year 2025/26

DAB031 course is part of 20 study plans

​ DKA-V Summer Semester 1st year

​ DKC-V Summer Semester 1st year

​ DPA-V Summer Semester 1st year

​ DPC-V Summer Semester 1st year

​ DKA-E Summer Semester 1st year

​ DKC-E Summer Semester 1st year

​ DPA-E Summer Semester 1st year

​ DPC-E Summer Semester 1st year

​ DKA-K Summer Semester 1st year

​ DKC-K Summer Semester 1st year

​ DPA-K Summer Semester 1st year

​ DPC-K Summer Semester 1st year

​ DKA-M Summer Semester 1st year

​ DKC-M Summer Semester 1st year

​ DPA-M Summer Semester 1st year

​ DPC-M Summer Semester 1st year

​ DPC-S Summer Semester 1st year

​ DPA-S Summer Semester 1st year

​ DKC-S Summer Semester 1st year

​ DKA-S Summer Semester 1st year

Course Guarantor

prof. RNDr. Josef Diblík, DrSc.

Institute

Institute of Mathematics and Descriptive Geometry

Language of instruction

Czech

Credits

4 credits

Semester

summer

Forms and criteria of assessment

course-unit credit

Offered to foreign students

Not to offer

Course on BUT site

https://www.vut.cz/en/students/courses/detail/290141

Lecture

13 weeks, 3 hours/week, elective

Syllabus

  • 1.–8. Continuous and discrete random variables (vectors), probability function, density function, probability, cumulative distribution, independent random variables, characteristics of distribution, transformation of random variables, conditional distribution, conditional mean, special distributions.
  • 9.–13. Random sampling, statistic, point estimate of distribution parameters and their functions, desirable properties of an estimator, estimator of correlation matrix, confidence interval for distribution parameter, fundamentals for testing hypotheses, tests of hypotheses for distribution parameters – one-sample analysis, two-sample analysis, goodness-of-fit test.