SylabUZ
| Nazwa przedmiotu | Mathematical statistics |
| Kod przedmiotu | 11.2-WZ-ZarzD-MS |
| Wydział | Wydział Ekonomii i Zarządzania |
| Kierunek | Zarządzanie |
| Profil | ogólnoakademicki |
| Rodzaj studiów | drugiego stopnia z tyt. magistra |
| Semestr rozpoczęcia | semestr zimowy 2023/2024 |
| Semestr | 2 |
| Liczba punktów ECTS do zdobycia | 4 |
| Typ przedmiotu | obowiązkowy |
| Język nauczania | angielski |
| Sylabus opracował |
|
| Forma zajęć | Liczba godzin w semestrze (stacjonarne) | Liczba godzin w tygodniu (stacjonarne) | Liczba godzin w semestrze (niestacjonarne) | Liczba godzin w tygodniu (niestacjonarne) | Forma zaliczenia |
| Ćwiczenia | 15 | 1 | 9 | 0,6 | Zaliczenie na ocenę |
| Wykład | 15 | 1 | 9 | 0,6 | Egzamin |
Familiarizing the student with selected methods of statistical inference.
No requirements.
1. Basics of of probability theory
An elementary and random event. General and classical definition of probability. Basic properties of probability. Conditional probability. Independence of random events.
2. Random variables and their distributions, parameters of distributions, selected distributions
The definition of a random variable and the distribution function of a random variable. Discrete and continuous distributions. Density function and its properties. Independence of random variables. Expected value, variance and standard deviation of random variables, basic properties and interpretation. Overview of major discrete and continuous distributions: two-point, binomial, uniform, normal, chi-square and Student's t-distribution.
3. Random sample, point and interval estimation
The definition of a random sample. Empirical probability distribution and its graphical presentation. The definition of statistics and estimator. Probability distributions of selected statistics from the sample. Estimation of expected value and variance. The idea of interval estimation. The concept of confidence interval and confidence level. Confidence interval for the mean, variance, and standard deviation in the population when the feature is normally distributed. Confidence interval for the structure indicator.
4. Testing statistical hypotheses
The definition of statistical hypothesis, statistical test, test statistics, critical area and critical value. Type I and type II error, the concept of significance level. Tests for the mean and tests for the variance. Testing hypotheses about the structure indicator. Comparing two populations (including dependent samples).
Part of the lecture presented in the form of slides, and part in the traditional form. During the exercises, solving previously given tasks and problems.
| Opis efektu | Symbole efektów | Metody weryfikacji | Forma zajęć |
The condition for taking the exam is a positive grade from the exercises, which is obtained after obtaining at least 50% of the maximum number of points in the written test. The condition for passing the course is a positive grade from the exam. The course grade is the arithmetic average of the grades from the exercises and the grade from the exam.
1. D. Aczel, Complete Business Statistics, Sounderpandian, Jayavel, 2008.
2. K. Black, Business Statistics For Contemporary Decision Making, 6th Edition, John Wiley & Sons, Inc. 2010.
1. J. L. Devore, Probability and Statistics for Engineering and the Sciences, Brooks/Cole, Cengage Learning 2012.
Zmodyfikowane przez dr Ewa Synówka (ostatnia modyfikacja: 20-05-2023 22:16)
