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Mathematical Statistics 1

Class at Faculty of Mathematics and Physics |
NMSA331

Syllabus

1. Random sample. Distribution of sample mean and variance. Order statistics.

2. Point and interval estimates - basic principles. Empirical estimates, sample moments and quantiles.

3. Hypothesis testing principles.

4. One-sample and paired methods for quantitative data.

5. Two-sample methods for quantitative data.

6. One-sample and two-sample methods for binary adata.

7. Multinomial distributions and contingency tables.

8. Multi-sample methods for quantitative data. Analysis of variance. Multiple comparison principles.

9. Correlation analysis.

Annotation

Foundations of statistical methods. Recommended for bachelor's program in General Mathematics, specialization

Stochastics.