401-0604-00L  Probability Theory and Statistics

SemesterSpring Semester 2020
LecturersV. Tassion
Periodicityyearly recurring course
Language of instructionEnglish (lecture), German (exercise)



Courses

NumberTitleHoursLecturers
401-0604-00 VWahrscheinlichkeitstheorie und Statistik (Probability Theory and Statistics)2 hrs
Mon10:15-12:00HG F 1 »
V. Tassion
401-0604-00 UWahrscheinlichkeitstheorie und Statistik (Probability Theory and Statistics)
Groups are selected in myStudies.
1 hrs
Mon15:15-16:00ETZ E 9 »
15:15-16:00ETZ F 91 »
15:15-16:00ETZ G 91 »
15:15-16:00HG F 26.5 »
15:15-16:00ML F 38 »
15:15-16:00ML H 43 »
V. Tassion

Catalogue data

AbstractProbability models and applications, introduction to statistical estimation and statistical tests.
ObjectiveAbility to understand the covered methods and models from probability theory and to apply them in other contexts. Ability to perform basic statistical tests and to interpret the results.
ContentThe concept of probability space and some classical models: the axioms of Kolmogorov, easy consequences, discrete models, densities, product spaces, relations between various models, distribution functions, transformations of probability distributions. Conditional probabilities, definition and examples, calculation of absolute probabilities from conditional probabilities, Bayes' formula, conditional distribution. Expectation of a random variable,application to coding, variance, covariance and correlation, linear estimator, law of large numbers, central limit theorem. Introduction to statistics: estimation of parameters and tests
Lecture notesyes
LiteratureTextbuch: P. Brémaud: 'An Introduction to Probabilistic Modeling', Springer, 1988.

Performance assessment

Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course
In examination block forBachelor's Degree Programme in Computational Science and Engineering 2018; Version 24.05.2022 (Examination Block G3)
Bachelor's Degree Programme in Electrical Engineering and Information Technology 2016; Version 31.10.2017 (Examination Block 3)
Bachelor's Degree Programme in Electrical Engineering and Information Technology 2017; Version 07.04.2022 (Examination Block 3)
Bachelor's Programme in Electrical Engineering and Information Technology 2012; Version 24.02.2016 (Examination Block 3)
ECTS credits4 credits
ExaminersV. Tassion
Typesession examination
Language of examinationGerman
RepetitionThe performance assessment is offered every session. Repetition possible without re-enrolling for the course unit.
Mode of examinationwritten 90 minutes
Additional information on mode of examinationAls (freiwillige) Lernelemente werden zwei Quizzes (gegen Ende März und Mitte Mai) angeboten, welche einen Bonus von maximal 0.25 Notenpunkten zur Endnote beitragen können.
Written aids5 beidseitig von Hand beschriebene A4-Blätter, keine Taschenrechner.
If the course unit is part of an examination block, the credits are allocated for the successful completion of the whole block.
This information can be updated until the beginning of the semester; information on the examination timetable is binding.

Learning materials

 
Main linkInformation
Only public learning materials are listed.

Groups

401-0604-00 UWahrscheinlichkeitstheorie und Statistik (Probability Theory and Statistics)
GroupsG-01
Mon15:15-16:00HG F 26.5 »
G-02
Mon15:15-16:00ETZ G 91 »
G-03
Mon15:15-16:00ML F 38 »
G-04
Mon15:15-16:00ML H 43 »
G-05
Mon15:15-16:00ETZ E 9 »
G-06
Mon15:15-16:00ETZ F 91 »

Restrictions

There are no additional restrictions for the registration.

Offered in

ProgrammeSectionType
Electrical Engineering and Information Technology BachelorExamination Block 3OInformation
Electrical Engineering and Information Technology BachelorExamination Block 3OInformation