Probability and Statistics
| Title | ΠΙΘΑΝΟΤΗΤΕΣ ΚΑΙ ΣΤΑΤΙΣΤΙΚΗ / Probability and Statistics |
| Code | ΜΑΕ201 |
| Faculty | Sciences |
| School | Physics |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Spring |
| Coordinator | Charikleia Meleti |
| Common | No |
| Status | Active |
| Course ID | 40003045 |
Programme of Study: PROGRAMMA SPOUDŌN 2022
Registered students: 0
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| KORMOS | Elective Courses | 8 | 4 | 5 |
| Academic Year | 2019 – 2020 |
| Class Period | Spring |
| Instructors from Other Categories |
|
| Weekly Hours | 3 |
| Class ID | 600159943
|
Course Type 2016-2020
- General Knowledge
Course Type 2011-2015
General Foundation
Mode of Delivery
- Face to face
Digital Course Content
Language of Instruction
- Greek (Instruction, Examination)
Prerequisites
General Prerequisites
Knowledge of Mathematics at the level of Lyceum
Learning Outcomes
Students should be able to solve problems in Probabilitiy and Statistics as well as analyze experimental results.
General Competences
- Apply knowledge in practice
- Make decisions
Course Content (Syllabus)
A. PROBABILITY
Theory of sets and probability,(events, axioms of probability, conditional probability, Bayes' theorem, combinatorial analysis, tree diagrams) - random variables - probability distributions (discrete and continuous probability distributions, joint distributions, independent random variables, change of variables, convolutions) - mathematical expectation - variance and standard deviation - functions of random variables - standardised random variables - covariance - correlation coefficient - Chebyshev's inequality and the law of large numbers - specific probability distributions (binomial, normal, Poisson, uniform, Cauchy, gamma, chi-square and Student's distributions, relations between distributions, central limit theorem).
B. STATISTICS
Sampling theory (population and sample, random samples, sampling distributions, population parameters (means, proportions, differences, sums), sample statistics (sample mean, sample variance) - estimation theory (confidence intervals for means, proportions, differences, sums, variances) - tests of hypotheses and significance (statistical hypotheses, type I and type II errors, level of significance, one- and two-sided tests, special tests of significance, fitting of theoretical to sample frequency distributions, chi-square test, contigency tables) - curve fitting (regression, least squares method, standard error of estimate, multiple regression, linear and generalised correlation coefficient, sampling theory of regression and correlation).
Keywords
Probability, Statistics, Experimental data analysisy
Educational Material Types
- Book
Use of Information and Communication Technologies
Use of ICT
- Use of ICT in Communication with Students
Description
Return of homework via E-Mail
Information on the progress of the course
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 78 | 2.6 | ✓ | ||
| Tutorial | 39 | 1.3 | ✓ | ||
| Exams | 3 | 0.1 | |||
| Total | 120 | 4 |
Student Assessment
Description
Homework
Final exams
Student Assessment methods
- Written Assignment (Summative)
Bibliography
Course Bibliography (Eudoxus)
Πιθανότητες και Στατιστική, Murray R. Spiegel, Μετάφραση Σ.Κ. Περσίδης, ΕΣΠΙ
ΘΕΩΡΙΑ ΠΙΘΑΝΟΤΗΤΩΝ 1, ΚΛΑΣΙΚΗ ΠΙΘΑΝΟΤΗΤΑ, ΜΟΝΟΔΙΑΣΤΑΤΕΣ ΚΑΤΑΝΟΜΕΣ,ΣΤ. ΚΟΥΝΙΑΣ, ΧΡ. ΜΩΥΣΙΑΔΗΣ, ΖΗΤΗ
Additional bibliography for study
Introduction to Probability, J.L. Snell, McGraw-Hill
Probability Theory, L.L. Helms, W.H. Freeman
Last Update
09-06-2016
