Course Details
Probability and mathematical statistics
Academic Year 2022/23
DA62 course is part of 21 study plans
D-K-E-SI (N) Summer Semester 1st year
D-K-E-SI (N) Summer Semester 1st year
D-K-E-SI (N) Summer Semester 1st year
D-K-E-SI (N) Summer Semester 1st year
D-K-E-SI (N) Summer Semester 1st year
D-K-C-SI (N) Summer Semester 1st year
D-K-C-SI (N) Summer Semester 1st year
D-K-C-SI (N) Summer Semester 1st year
D-K-C-SI (N) Summer Semester 1st year
D-K-C-SI (N) Summer Semester 1st year
D-P-E-SI (N) Summer Semester 1st year
D-P-E-SI (N) Summer Semester 1st year
D-P-E-SI (N) Summer Semester 1st year
D-P-E-SI (N) Summer Semester 1st year
D-P-E-SI (N) Summer Semester 1st year
D-P-C-SI (N) Summer Semester 1st year
D-P-C-SI (N) Summer Semester 1st year
D-P-C-SI (N) Summer Semester 1st year
D-P-C-SI (N) Summer Semester 1st year
D-P-C-SI (N) Summer Semester 1st year
unknown (history data) unknown (history data) 1st year
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.
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.
Course Guarantor
Institute
Objective
The correct grasp of the basic concepts and art of interpreting statistical outcomes.
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.
Prerequisites
Basics of linear algebra, differentiation, integration.
Language of instruction
Czech
Credits
4 credits
Semester
summer
Forms and criteria of assessment
course-unit credit
Specification of controlled instruction, the form of instruction, and the form of compensation of the absences
Extent and forms are specified by guarantor’s regulation updated for every academic year.
Offered to foreign students
Not to offer
Course on BUT site
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.