Probability Theory and Statistics

Course Information
TitleΘεωρία Πιθανοτήτων και Στατιστική / Probability Theory and Statistics
Code020
FacultyEngineering
SchoolElectrical and Computer Engineering
Cycle / Level1st / Undergraduate
Teaching PeriodSpring
CoordinatorDimitris Kugiumtzis
CommonNo
StatusActive
Course ID600000968

Programme of Study: Electrical and Computer Engineering

Registered students: 478
OrientationAttendance TypeSemesterYearECTS
CORECompulsory Course426
Class Information
Academic Year2024 – 2025
Class PeriodSpring
Faculty Instructors
Weekly Hours5
Class ID
600262797
Course Type 2021
Specific Foundation
Course Type 2016-2020
  • Background
Course Type 2011-2015
General Foundation
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)
  • English (Instruction, Examination)
Learning Outcomes
Upon successful completion of the course, the students will have a good understanding of the fundamental principles of probability and probability distributions of random variables, as well as their application to problems of engineering. Further, they will be able to do the basic statistical analysis of data of one and two quantities (random variables) in engineering problems. Specifically, they will be able to estimate main statistical characteristics of the variable of interest, such as the mean and variance, reporting the estimation accuracy, as well as the (linear) correlation and regression of two variables of interest.
General Competences
  • Apply knowledge in practice
  • Retrieve, analyse and synthesise data and information, with the use of necessary technologies
  • Work autonomously
  • Work in teams
Course Content (Syllabus)
PROBABILITY THEORY: Probability space, conditional probability, total probability, Bayes’ theorem. Random variables. Distribution functions of discrete and continuous random variables. Theoretical distributions (binomial, geometric, negative geometric, hypergeometric, Poisson, uniform, normal, exponential). Characteristics and parameters of distributions (mean value, variance, other moments, mode, Tchebycheff inequality). Functions of random variables. STATISTICS: Descriptive statistics of data (summary statistics and graphs). Estimation of distribution parameters from observations of a random variable, properties of estimators, the method of moments and the method of maximum likelihood, estimation of confidence interval for the mean, variance and difference of two means. Regression and correlation analysis, simple linear regression.
Keywords
Probability, statistics
Educational Material Types
  • Notes
  • Slide presentations
  • Multimedia
  • Book
Use of Information and Communication Technologies
Use of ICT
  • Use of ICT in Course Teaching
  • Use of ICT in Laboratory Teaching
Description
Computer programs: A practical lab on the statistical software SPSS is offered. Multimedia: An interactive educational tool created in Matlab is presented in the class. Webcasts for the practical lab on the statistical software SPSS are available through the course web page.
Course Organization
ActivitiesWorkloadECTSIndividualTeamworkErasmus
Lectures903✓
Laboratory Work451.5✓
Exams301✓
Topic presentations150.5✓
Total1806
Student Assessment
Description
Written exams: 80% of the final mark (provided that the student has succeeded in at least 50% of the exam questions). Project on Probability: 10% of the final mark Project on Statistics (practical essay on the basis of the statistical software SPSS or presentation of a special topic in statistics): 10% of the final mark
Student Assessment methods
  • Written Assignment (Formative, Summative)
  • Performance / Staging (Formative, Summative)
  • Written Exam with Problem Solving (Formative, Summative)
  • Report (Formative, Summative)
  • Labortatory Assignment (Formative, Summative)
Bibliography
Course Bibliography (Eudoxus)
1. "Πιθανότητες και Στατιστικά για Μηχανικούς Μέθοδοι -Εφαρμογές", Γιώργος Χ. Ζιούτας, εκδόσεις Σοφία, 2022 (5η έκδοση) (Κωδικός Βιβλίου στον Εύδοξο: 112702629) 2. "Εφαρμοσμένη Στατιστική και Πιθανότητες για Μηχανικούς", Montgomery Douglas- Runger C. George, εκδόσεις Α. Τζιόλα και Υιοί, 2017 (6η έκδοση) (Κωδικός Βιβλίου στον Εύδοξο: 59397306) 3. Σημειώσεις για το Μέρος Β του μαθήματος, Δημήτρης Κουγιουμτζής, ανατύπωση ΑΠΘ, 2010 (http://users.auth.gr/dkugiu/Teach/ElectricEngineer/index.html)
Additional bibliography for study
1. ΣΤΟΙΧΕΙΑ ΠΙΘΑΝΟΤΗΤΩΝ Κωδικός Βιβλίου στον Εύδοξο: 320181 Έκδοση: 1/2016 Συγγραφείς: ΙΩΑΝΝΗΣ ΚΟΝΤΟΓΙΑΝΝΗΣ, ΣΤΑΥΡΟΣ ΤΟΥΜΠΗΣ ISBN: 978-960-603-182-3 Τύπος: Ηλεκτρονικό Βιβλίο Διαθέτης (Εκδότης): Ελληνικά Ακαδημαϊκά Ηλεκτρονικά Συγγράμματα και Βοηθήματα - Αποθετήριο "Κάλλιπος" 2. Probability with Applications in Engineering Science and Technology [electronic resource] Κωδικός Βιβλίου στον Εύδοξο: 75491025 Αριθμός τόμου: Έκδοση: 2nd ed./2017 Συγγραφείς: Matthew A. Carlton / Jay L. Devore ISBN: 9783319524016 Τύπος: Ηλεκτρονικό Βιβλίο Διαθέτης (Εκδότης): HEAL-Link Springer ebooks 3. Introduction to Probability and Statistics for Engineers [electronic resource] Κωδικός Βιβλίου στον Εύδοξο: 73243259 Αριθμός τόμου: Έκδοση: /2013 Συγγραφείς: Milan Holick? ISBN: 9783642383007 Τύπος: Ηλεκτρονικό Βιβλίο Διαθέτης (Εκδότης): HEAL-Link Springer ebooks 4. A Modern Introduction to Probability and Statistics [electronic resource] Κωδικός Βιβλίου στον Εύδοξο: 170437 Αριθμός τόμου: Έκδοση: /2005 Συγγραφείς: Frederik Michel Dekking / Cornelis Kraaikamp / Hendrik Paul Lopuhaä / Ludolf Erwin Meester ISBN: 9781846281686 Τύπος: Ηλεκτρονικό Βιβλίο Διαθέτης (Εκδότης): HEAL-Link Springer ebooks 5. Introduction to Probability with Statistical Applications [electronic resource] Κωδικός Βιβλίου στον Εύδοξο: 75487866 Αριθμός τόμου: Έκδοση: 2nd ed./2016 Συγγραφείς: G?za Schay ISBN: 9783319306209 Τύπος: Ηλεκτρονικό Βιβλίο Διαθέτης (Εκδότης): HEAL-Link Springer ebooks 6. Fundamentals of Probability [electronic resource] Κωδικός Βιβλίου στον Εύδοξο: 73239067 Αριθμός τόμου: Έκδοση: /2010 Συγγραφείς: Anirban DasGupta ISBN: 9781441957801 Τύπος: Ηλεκτρονικό Βιβλίο Διαθέτης (Εκδότης): HEAL-Link Springer ebooks
Last Update
18-09-2024