Department of Information & Communication Systems Engineering
University of the Aegean
SCHOOL OF ENGINEERING

Department of Information
& Communication Systems Engineering

Information & Communication Systems Security
Information Systems
Artificial Intelligence
Computer & Communication Systems
Geometry, Dynamical Systems & Cosmology
 
Στοχαστική Ανάλυση

Title: Στοχαστική Ανάλυση
Lesson Code: 321-3751
Semester: 3
ECTS: 5
Theory Hours: 3
Lab Hours: 2
Faculty: Leros Asimakis
 
Content outline

Review of basic random variables.Definition of stochastic processes. The Bernoulli, Poisson and birth-and-death processes. Simulation of discrete and continuous random variables. Markov chains, Chapman-Kolmogorov equations, classification of states, limiting probabilities. Mean time spent in transient states.

 
Learning outcomes

Modelling random arrivals by Bernoulli and Poisson processes

Probability calcucations in Bernoulli and Poisson processes

Modelling discrete-event systems by Markov chains

Calculation and interpretation of limiting probabilities

Generation of random variates

Basic calculations of reliability and availability

 
Prerequisites

Calculus

Probability and statistics

 
Basic Textbooks

1. T. Daras, P. Sypsas, “Stochastic Processes’’ (in Greek).
2. O. Chrysafinou, “Introduction to Stochastic Processes’’ (in Greek).

 
Additional References

1. S. Ross, Introduction to probability models, Academic Press, 2002.
2. S. Karlin and H.M. Taylor, A first course in stochastic processes, Academic Press, 1975.

 
Learning Activities and Teaching Methods

5 in-class quizzes

Final written exam

Activity/Workload
Lectures: 36 hrs

Recitation: 26 hrs
Personal study: 60 hrs
Quizzes: 3 hrs
Final exam: 3 hrs
Total: 128 hrs (5 ECTS)

 
Assessment/Grading Methods

5 in-class quizzes

Final written exam

 
Language of Instruction
Greek, English (for Erasmus students)
 
Μode of delivery

Weekly class meetings
Weekly recitations (devoted mostly to problem solving)


Notes
  • Σημειώσεις μαθήματος
  • 1ο Σύνολο Ασκήσεων
  • 2ο Σύνολο Ασκήσεων
  • 3ο Σύνολο Ασκήσεων
  • 4ο Σύνολο Ασκήσεων
  • Βαθμολογία 1ης-2ης άσκησης
  • Βαθμολογία 3ης-4ης άσκησης


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