# 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: 2
OrientationAttendance TypeSemesterYearECTS
CoreElective Courses belonging to the selected specializationWinter-5.5

 Academic Year 2016 – 2017 Class Period Winter Faculty Instructors Foteini Kolyva-Machaira 39hrs Weekly Hours 3 Total Hours 39 Class ID 600038232

### Class Schedule

 Building Φυσικομαθηματική (Δ) Floor Όροφος 3 Hall ΑΙΘΟΥΣΑ Μ1 (198) Calendar Τετάρτη 09:00 έως 11:00 Building Φυσικομαθηματική (Δ) Floor Όροφος 3 Hall ΑΙΘΟΥΣΑ Μ1 (198) Calendar Πέμπτη 09:00 έως 10:00
Course Type 2016-2020
• Scientific Area
Course Type 2011-2015
Specific Foundation / Core
Mode of Delivery
• Face to face
Digital Course Content
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