GENERAL INFORMATION:

Instructors:
Semester: 4th
CREDITS:

ECTS Units: 5
Teaching Units: 5
Theory Hours: 3
Exercises Hours: 2
Lab Hours: 0
COURSE PAGE: https://eclass.duth.gr/courses/TMA124/

Course Description

Luck Experiments, Sample Space, Probability Definition, Probability Space, Basic Properties, Importance of Sample Space in the formation of probabilistic patterns, Bertrand paradox, Conditional probability, Total Probability, Discrete probability distribution functions, Continuous probability distribution functions, Main description parameters for distributions, Law of large numbers, Central Limit Theorem, Multi-variate Analysis, Multi-variate distributions, Sampling Theorem, Estimation Theory, Estimation of statistical parameters: Maximum Likelihood method, Trust-Regions, Regression, Correlation (linear, polynomial, exponential, logarithmic, etc), Curve fitting, Least-Squares method, Hypothesis testing: statistical evaluation of estimators, statistical evaluation of probability density fitting.