| Area of Mathematics: | Statistics-Probability-Operational Research | ||
| Semester: | 5ο | ||
| Course ID: | 51304 | ||
| Course Type: | Compulsory | ||
| Teaching hours per week: | Theory: 4 | Practice: 1 | Laboratory: 0 |
| ECTS : | 6 | ||
| Eclass: | For the course’s material, click here. | ||
| Instructors: | Panagiota Kontou | ||
Description
- Organization and graphical representation of statistical data. Descriptive statistics (measures of location, dispersion, skewness, kurtosis).
- Distribution families (exponential family).
- Estimation: Point estimation, properties of point estimators (consistency, unbiasedness, efficiency, sufficiency, mean squared error), methods of point estimation (method of moments, method of least squares, method of maximum likelihood, Minimax, Bayes).
- Sampling and sampling distributions.
- Confidence intervals: Confidence intervals for the mean, variance, percentage of a population, and for the difference of the means, the ratio of the variances, the difference of the percentages in case of normal and non-normal populations.
- Hypothesis testing.
Bibliography
- Mood A.M., Graybill F.A., Boes D.C., Introduction to the theory of Statistics. McGraw-Hill. 1974
- Rohatgi V.K. An introduction to probability theory and mathematical statistics. Wiley. 1976
- Casella G., Berger R.L. Statistical inference. Brooks/Cole. 2002
