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Probability and Statistics

General data

Course ID:

103A-CTxxx-ISA-EPRST

Erasmus code / ISCED:

(unknown) / (unknown)

Course title:

Probability and Statistics

Name in Polish:

Probability and Statistics

Department:

The Faculty of Electronics and Information Technology

Course groups:

( Courses in English )--eng.-EITI
( Mathematics )--B.Sc.-EITI
( Mathematics )-Computer Science-B.Sc.-EITI
( Mathematics )-Electronics, Telecommunications-B.Sc.-EITI
( Technical Courses )---EITI
( Technical Courses )--eng.-EITI

ECTS credit allocation (and other scores):

6.00

Language:

English

(in Polish) Jednostka decyzyjna:

(in Polish) 103000 - Wydział Elektroniki i Technik Informacyjnych

(in Polish) Kod wydziałowy:

(in Polish) EPRST

(in Polish) Numer wersji:

(in Polish) 1

Short description:

Expose students to basic notions and methods of probability theory. Help them to understand mathematical description of the phenomena involving randomness and introduce them the area of statistics.

Full description:

Expose students to basic notions and methods of probability theory. Help them to understand mathematical description of the phenomena involving randomness and introduce them the area of statistics.

Lecture contents

Probability spaces, conditional probability, total probablity and Bayes formulae (4h).

Random variables and their distribution. Supports, cumulative distribution functions. Marginal distributions (4h).

Review of distributions in Rn (2h).

Distributions of random variables (2h).

Expectation, Covariance matrices, moments. Problem of approximation of some random variables by the others. Linear models (4h).

Conditional distributions and conditional expectation (2h).

Convergence of sequences of random variables. Laws of large numbers and central limit theorem (2h).

Elements of mathematical statistics. Elements of estimation theory and testing of statistical hypothesis (8h).

Tutorial contents
Scope of the exercises follows the above mentioned scope of the lectures

Similar Courses

Code	Name	Discount ECTS
103A-INxxx-ISP-MPS	Metody probabilistyczne i statystyka	5
103A-TExxx-ISP-PROBA	Probabilistyka	5

Bibliography:

V.K. Rohatgi An Introduction to Probability Theory and Mathematical Statistics Wiley, NY, 1976

M.Fisz Probability Theory and Mathematical Statistics Wiley NY, 1963

R. Durrett Probability, Theory and Examples Wadsworth& Brooks/Cole, Pacific Grove, 1991

Classes in period "Winter Semester 2022/2023" (future)

Time span:	2022-10-01 - 2023-02-19	Choosen plan division: this week course term see course schedule
Type of class:	lectures, 30 hours, 30 places more information tutorials, 30 hours, 30 places more information
Coordinators:	Joanna Matysiak, Wojciech Matysiak
Group instructors:	Joanna Matysiak
Students list:	(inaccessible to you)
Examination:	Exam
(in Polish) Jednostka realizująca:	(in Polish) 112000 - Wydział Matematyki i Nauk Informacyjnych

Classes in period "Summer Semester 2021/2022" (in progress)

Time span:	2022-02-23 - 2022-09-30	Choosen plan division: this week course term see course schedule
Type of class:	lectures, 30 hours, 75 places more information tutorials, 30 hours, 75 places more information
Coordinators:	Joanna Matysiak, Wojciech Matysiak
Group instructors:	Joanna Matysiak, Wojciech Matysiak
Students list:	(inaccessible to you)
Examination:	Exam
(in Polish) Jednostka realizująca:	(in Polish) 112000 - Wydział Matematyki i Nauk Informacyjnych

Classes in period "Winter Semester 2021/2022" (past)

Time span:	2021-10-01 - 2022-02-22	Choosen plan division: this week course term see course schedule
Type of class:	lectures, 30 hours, 30 places more information tutorials, 30 hours, 30 places more information
Coordinators:	Joanna Matysiak, Wojciech Matysiak
Group instructors:	Joanna Matysiak
Students list:	(inaccessible to you)
Examination:	Exam
(in Polish) Jednostka realizująca:	(in Polish) 112000 - Wydział Matematyki i Nauk Informacyjnych

Classes in period "Summer Semester 2020/2021" (past)

Time span:	2021-02-20 - 2021-09-30	Choosen plan division: this week course term see course schedule
Type of class:	lectures, 30 hours, 75 places more information tutorials, 30 hours, 75 places more information
Coordinators:	Joanna Matysiak, Wojciech Matysiak
Group instructors:	Joanna Matysiak, Wojciech Matysiak
Students list:	(inaccessible to you)
Examination:	Exam
(in Polish) Jednostka realizująca:	(in Polish) 112000 - Wydział Matematyki i Nauk Informacyjnych

Classes in period "Winter Semester 2020/2021" (past)

Time span:	2020-10-01 - 2021-02-19	Choosen plan division: this week course term see course schedule
Type of class:	lectures, 30 hours, 30 places more information tutorials, 30 hours, 30 places more information
Coordinators:	Joanna Matysiak, Wojciech Matysiak
Group instructors:	Joanna Matysiak
Students list:	(inaccessible to you)
Examination:	Exam
(in Polish) Jednostka realizująca:	(in Polish) 112000 - Wydział Matematyki i Nauk Informacyjnych

Classes in period "Summer Semester 2019/2020" (past)

Time span:	2020-02-22 - 2020-09-30	Choosen plan division: this week course term see course schedule
Type of class:	lectures, 30 hours, 60 places more information tutorials, 30 hours, 60 places more information
Coordinators:	Joanna Matysiak, Wojciech Matysiak
Group instructors:	Joanna Matysiak, Wojciech Matysiak
Students list:	(inaccessible to you)
Examination:	Exam
(in Polish) Jednostka realizująca:	(in Polish) 112000 - Wydział Matematyki i Nauk Informacyjnych

Classes in period "Winter Semester 2019/2020" (past)

Time span:	2019-10-01 - 2020-02-21	Choosen plan division: this week course term see course schedule
Type of class:	lectures, 30 hours, 30 places more information tutorials, 30 hours, 30 places more information
Coordinators:	Joanna Matysiak, Wojciech Matysiak
Group instructors:	Joanna Matysiak, Wojciech Matysiak
Students list:	(inaccessible to you)
Examination:	Exam
(in Polish) Jednostka realizująca:	(in Polish) 112000 - Wydział Matematyki i Nauk Informacyjnych

Classes in period "Summer Semester 2018/2019" (past)

Time span:	2019-02-18 - 2019-09-30	Choosen plan division: this week course term see course schedule
Type of class:	lectures, 30 hours, 60 places more information tutorials, 30 hours, 60 places more information
Coordinators:	Joanna Matysiak, Wojciech Matysiak
Group instructors:	Joanna Matysiak, Wojciech Matysiak
Students list:	(inaccessible to you)
Examination:	Exam
(in Polish) Jednostka realizująca:	(in Polish) 112000 - Wydział Matematyki i Nauk Informacyjnych

Classes in period "Winter Semester 2018/2019" (past)

Time span:	2018-10-01 - 2019-02-17	Choosen plan division: this week course term see course schedule
Type of class:	lectures, 30 hours, 30 places more information tutorials, 30 hours, 30 places more information
Coordinators:	Joanna Matysiak, Wojciech Matysiak
Group instructors:	Joanna Matysiak
Students list:	(inaccessible to you)
Examination:	Exam
(in Polish) Jednostka realizująca:	(in Polish) 112000 - Wydział Matematyki i Nauk Informacyjnych

Classes in period "Summer Semester 2017/2018" (past)

Time span:	2018-02-19 - 2018-09-30	Choosen plan division: this week course term see course schedule
Type of class:	lectures, 30 hours, 60 places more information tutorials, 30 hours, 60 places more information
Coordinators:	Joanna Matysiak, Wojciech Matysiak
Group instructors:	Joanna Matysiak, Wojciech Matysiak
Students list:	(inaccessible to you)
Examination:	Exam
(in Polish) Jednostka realizująca:	(in Polish) 112000 - Wydział Matematyki i Nauk Informacyjnych

Classes in period "Winter Semester 2017/2018" (past)

Time span:	2017-10-01 - 2018-02-18	Choosen plan division: this week course term see course schedule
Type of class:	lectures, 30 hours, 30 places more information tutorials, 30 hours, 30 places more information
Coordinators:	Wojciech Matysiak
Group instructors:	Wojciech Matysiak
Students list:	(inaccessible to you)
Examination:	Exam
(in Polish) Jednostka realizująca:	(in Polish) 112000 - Wydział Matematyki i Nauk Informacyjnych

Classes in period "Summer Semester 2016/2017" (past)

Time span:	2017-02-20 - 2017-09-30	Choosen plan division: this week course term see course schedule
Type of class:	lectures, 30 hours, 30 places more information tutorials, 30 hours, 30 places more information
Coordinators:	Wojciech Matysiak
Group instructors:	Wojciech Matysiak
Students list:	(inaccessible to you)
Examination:	Exam
(in Polish) Jednostka realizująca:	(in Polish) 112000 - Wydział Matematyki i Nauk Informacyjnych

Classes in period "Winter Semester 2016/2017" (past)

Time span:	2016-10-01 - 2017-02-19	Choosen plan division: this week course term see course schedule
Type of class:	lectures, 30 hours, 30 places more information tutorials, 30 hours, 30 places more information
Coordinators:	Wojciech Matysiak
Group instructors:	Wojciech Matysiak
Students list:	(inaccessible to you)
Examination:	Exam
(in Polish) Jednostka realizująca:	(in Polish) 112000 - Wydział Matematyki i Nauk Informacyjnych

Classes in period "Summer Semester 2015/2016" (past)

Time span:	2016-02-23 - 2016-09-30	Choosen plan division: this week course term see course schedule
Type of class:	lectures, 30 hours, 30 places more information tutorials, 30 hours, 30 places more information
Coordinators:	Wojciech Matysiak
Group instructors:	Wojciech Matysiak
Students list:	(inaccessible to you)
Examination:	Exam
(in Polish) Jednostka realizująca:	(in Polish) 112000 - Wydział Matematyki i Nauk Informacyjnych

Classes in period "Winter Semester 2015/2016" (past)

Time span:	2015-10-01 - 2016-02-22	Choosen plan division: this week course term see course schedule
Type of class:	lectures, 30 hours, 30 places more information tutorials, 30 hours, 30 places more information
Coordinators:	Wojciech Matysiak
Group instructors:	Wojciech Matysiak
Students list:	(inaccessible to you)
Examination:	Exam
(in Polish) Jednostka realizująca:	(in Polish) 112000 - Wydział Matematyki i Nauk Informacyjnych

Classes in period "Summer Semester 2014/2015" (past)

Time span:	2015-02-23 - 2015-09-30	Choosen plan division: this week course term see course schedule
Type of class:	lectures, 30 hours, 30 places more information tutorials, 30 hours, 30 places more information
Coordinators:	Wojciech Matysiak
Group instructors:	Wojciech Matysiak
Students list:	(inaccessible to you)
Examination:	Exam
(in Polish) Jednostka realizująca:	(in Polish) 112000 - Wydział Matematyki i Nauk Informacyjnych

Classes in period "Winter Semester 2014/2015" (past)

Time span:	2014-09-29 - 2015-02-22	Choosen plan division: this week course term see course schedule
Type of class:	lectures, 30 hours, 30 places more information tutorials, 30 hours, 30 places more information
Coordinators:	Wojciech Matysiak
Group instructors:	Wojciech Matysiak
Students list:	(inaccessible to you)
Examination:	Exam
(in Polish) Jednostka realizująca:	(in Polish) 112000 - Wydział Matematyki i Nauk Informacyjnych

Classes in period "Summer Semester 2013/2014" (past)

Time span:	2014-02-24 - 2014-09-28	Choosen plan division: this week course term see course schedule
Type of class:	lectures, 30 hours, 30 places more information tutorials, 30 hours, 30 places more information
Coordinators:	Wojciech Matysiak
Group instructors:	Wojciech Matysiak
Students list:	(inaccessible to you)
Examination:	Exam
(in Polish) Jednostka realizująca:	(in Polish) 112000 - Wydział Matematyki i Nauk Informacyjnych

Classes in period "Winter Semester 2013/2014" (past)

Time span:	2013-10-01 - 2014-02-23	Choosen plan division: this week course term see course schedule
Type of class:	lectures, 30 hours, 30 places more information tutorials, 30 hours, 30 places more information
Coordinators:	Wojciech Matysiak
Group instructors:	Wojciech Matysiak
Students list:	(inaccessible to you)
Examination:	Exam
(in Polish) Jednostka realizująca:	(in Polish) 112000 - Wydział Matematyki i Nauk Informacyjnych

Classes in period "Summer Semester 2012/2013" (past)

Time span:	2013-02-20 - 2013-09-30	Choosen plan division: this week course term see course schedule
Type of class:	lectures, 30 hours, 30 places more information tutorials, 30 hours, 30 places more information
Coordinators:	Wojciech Matysiak
Group instructors:	Wojciech Matysiak
Students list:	(inaccessible to you)
Examination:	Exam
(in Polish) Jednostka realizująca:	(in Polish) 112000 - Wydział Matematyki i Nauk Informacyjnych

Classes in period "Winter Semester 2012/2013" (past)

Time span:	2012-10-01 - 2013-02-19	Choosen plan division: this week course term see course schedule
Type of class:	lectures, 30 hours, 30 places more information tutorials, 30 hours, 30 places more information
Coordinators:	Wojciech Matysiak
Group instructors:	Wojciech Matysiak
Students list:	(inaccessible to you)
Examination:	Exam
(in Polish) Jednostka realizująca:	(in Polish) 112000 - Wydział Matematyki i Nauk Informacyjnych

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Copyright by Warsaw University of Technology.