# 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: 158
OrientationAttendance TypeSemesterYearECTS
CoreElective Courses belonging to the selected specializationWinter-5.5

 Academic Year 2020 – 2021 Class Period Winter Faculty Instructors Georgios Afendras 39hrs Weekly Hours 3 Class ID 600166653
Course Type 2021
General Foundation
Course Type 2016-2020
• Scientific Area
Course Type 2011-2015
Specific Foundation / Core
Mode of Delivery
• Face to face
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
• Greek (Instruction, Examination)
Prerequisites
Required Courses
• 0503 Statistics
General Prerequisites
probability theory I, probability theory II
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
• Design and manage projects
• Advance free, creative and causative thinking
Course Content (Syllabus)
An introduction to the Mathematical Statistics. Families of distributions, Exponential family of distribution family - E.F.D., Sufficient and Complete statistics (Fisher–Neyman factorization theorem and use of E.F.D.), Unbiased Minimum Variance Estimator, Cramér-Rao Inequality, Efficient Estimator, Consistent Estimators, Maximum Likelihood Estimators and Moment Estimators, Confidence intervals, Hypothesis Tests (Neyman-Pearson Lemma).
Keywords
Point Estimation, Interval Estimation, Hypothesis Testing
Educational Material Types
• Notes
• Video lectures
• Book
Use of Information and Communication Technologies
Use of ICT
• Use of ICT in Course Teaching
• Use of ICT in Communication with Students
Course Organization
Lectures652.2
Tutorial130.4
Exams30.1
Total1655.5
Student Assessment
Student Assessment methods
• written exams (Summative)
Bibliography
Course Bibliography (Eudoxus)
Βιβλίο [45263]: Εισαγωγή στη Στατιστική ΜΕΡΟΣ Ι, Δαμιανού Χ.,Κούτρας Μ. Βιβλίο [11098]: Κολυβά-Μαχαίρα, Φ. (1985). Μαθηματική Στατιστική, Τόμος Ι, Εκτιμητική. Εκδόσεις Ζήτη, Θεσσαλονίκη Ηλεκτρονικό βιβλίο [320117]: Κολυβά-Μαχαίρα, Φ. & Χατζόπουλος Στ. Α. (2016). Μαθηματική Στατιστική, Έλεγχοι Υποθέσεων. Αθήνα: Σύνδεσμος Ελληνικών Ακαδημαϊκών Βιβλιοθηκών. Διαθέσιμο στο: http://hdl.handle.net/11419/1899320117 Βιβλίο [22682832]: Βασικές μέθοδοι εκτίμησης παραμέτρων. Ηλιόπουλος Γιώργος Βιβλίο [22888]: Παπαϊωάννου, Τ. & Φερεντίνος, Κ. (2002). Μαθηματική Στατιστική, 2η Έκδοση. Εκδόσεις Σταμούλη, Αθήνα