Mathematical Statistics 360-MS2-2SMa

Course profile: academic
Form of study: stationary
Course type:facultative
Academic discipline: science and natural science, field of study in the arts and science: mathematics
Year: 2, semester: 3
Prerequisities:
lecture 30 h. exercise class 30 h.
Verification methods: lectures, exercises, consultations, studying literature, home works, discussions in groups.
ECTS credits: 5
Balance of student workload:
attending lectures15x2h = 30h
attending exercise classes 15x2h = 30h
preparation for classes 7x3h = 21h
completing notes after exercises and lectures 7x2h = 14h
consultations 12x1h = 12h
the final examination: preparation.and take 12h + 3h = 15h
control works: repeating the material and preparation 3x4h = 12h
Quantitative description
Direct interaction with the teacher: 75 h., 3 ECTS

Rodzaj przedmiotu

fakultatywne

Założenia (opisowo)

Course objectives: By the end of the course the student should have developed the skills to: verify when statistics are sufficient (minimum syfficient); determining the loss function; apply statistical decision theory in testing hypotheses. Also know: the advantages and disadvantages of different classes of estimators; how to termine the estimators in the class; properties of exponential statistical spaces and statistics in these spaces.

Koordynatorzy przedmiotu

Tomasz Czyżycki
Aneta Sliżewska

Efekty kształcenia

Learning outcomes:
Students know the major theorems of mathematical statistics related to statistical spaces, statistics, exponential statistical spaces, hypothesis testing, theory of estimations, decision theory - KA7_WG03.
Students know how to use R/SPSS software for statistical processing of data - KA7_WG07, KA7_WK03, KA7_UW01.
Students know foundations of the theory of Fisher information - KA7_WG09.
Students understand fundamentals of mathematical statistics and statistical processing of data bases - KA7_UW12.
Students are able to determine the statistics and estimators with selected properties, as well as to test hypotheses - KA7_UW12.
Be able to express in writing and oral statistical content - KA7_UK02.

Kryteria oceniania

The overall form of credit for the course: final exam.

Literatura

1. Shao J., Mathematical Statistics: Exercises and Solutions, Springer 2005.
2. Shao J., Mathematical Statistics, Springer Texts in Statistics, Springer 2003.
3. J. R. Barra, Mathematical Basis of Statistics (Probability & Mathematical Statistics), Academic Press Inc. 1981
4. J. Devore, K. Berg, Modern Mathematical Statistics with Applications, Springer Texts in Statistics , 2012

Więcej informacji

Dodatkowe informacje (np. o kalendarzu rejestracji, prowadzących zajęcia, lokalizacji i terminach zajęć) mogą być dostępne w serwisie USOSweb:

Strona przedmiotu 360-MS2-2SMa w USOSweb