Mathematical Statistics
| Title | ΜΑΘΗΜΑΤΙΚΗ ΣΤΑΤΙΣΤΙΚΗ / Mathematical Statistics |
| Code | 0534 |
| Faculty | Sciences |
| School | Mathematics |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Winter |
| Common | Yes |
| Status | Active |
| Course ID | 40000525 |
Programme of Study: UPS of School of Mathematics (2014-today)
Registered students: 39
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| Core | Elective Courses belonging to the selected specialization | Winter | - | 5.5 |
| Academic Year | 2017 – 2018 |
| Class Period | Winter |
| Faculty Instructors |
|
| Weekly Hours | 3 |
| Class ID | 600099158
|
Class Schedule
| Building | Φυσικομαθηματική (Δ) |
| Floor | Όροφος 3 |
| Hall | ΑΙΘΟΥΣΑ Μ1 (198) |
| Calendar | Τρίτη 09:00 έως 10:00 |
| Building | Φυσικομαθηματική (Δ) |
| Floor | Όροφος 3 |
| Hall | ΑΙΘΟΥΣΑ Μ1 (198) |
| Calendar | Τετάρτη 09:00 έως 11:00 |
Course Type 2016-2020
- Scientific Area
Course Type 2011-2015
Specific Foundation / Core
Mode of Delivery
- Face to face
Digital Course Content
- e-Study Guide https://qa.auth.gr/en/class/1/600099158
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
- Greek (Instruction, Examination)
Prerequisites
Required Courses
- 0201 Calculus I
- 0202 Calculus II
- 0203 Calculus III
- 0205 Calculus IV
- 0502 Probability Theory I
- 0503 Statistics
- 0505 Probability Theory II
General Prerequisites
Probability theory,calculus
Learning Outcomes
The aim is to understeand and use statistical methods to solve real problems.
General Competences
- Apply knowledge in practice
- Retrieve, analyse and synthesise data and information, with the use of necessary technologies
- Make decisions
- Work autonomously
- Work in teams
- Work in an interdisciplinary team
- Generate new research ideas
- Advance free, creative and causative thinking
Course Content (Syllabus)
Distributions of functions of random variables - Normal distribution and the
derived distributions from the normal - The exponential family - Sufficiency of a statistic
for a parameter or for functions of parameters. The Rao-Blackwel theorem -
Completeness and uniqueness - Unbiased estimators with minimum variance - The
Cramer-Rao inequality - Efficient statistics - Consistent statistics - Maximum likelihood
and moment estimators and their properties - Prior and posterior distributions and Bayes
estimators - The minimax principle - Interval estimation. General methods for
construction of confidence intervals - Approximate confidence intervals - Confidence
regions. Estimation of the probability density function (pdf)of a random variable X based on the Coefficient of VAriation.
Keywords
Point estimation, Interval estimation, Maximum likelihood, Unbiased estimators with minimum variance, Bayes
Educational Material Types
- Notes
- Book
Use of Information and Communication Technologies
Use of ICT
- Use of ICT in Communication with Students
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 150 | 5 | ✓ | ||
| Tutorial | 15 | 0.5 | ✓ | ||
| Total | 165 | 5.5 |
Student Assessment
Student Assessment methods
- Written Exam with Short Answer Questions (Formative, Summative)
- Written Exam with Problem Solving (Formative, Summative)
Bibliography
Course Bibliography (Eudoxus)
- Μαθηματική Στατιστική-Εκτιμητική της Φ. Κολυβά-Μαχαίρα.
- Εισαγωγή στη Στατιστική, Μέρος 2o των Χ. Δαμιανού, Μ. Κούτρα.
Last Update
09-11-2015
