Semester 2 MSc Informatics

Theory of Probability

Module Code Semester Type Hours Laboratories / Seminars ECTS Instructors
Theory of Probability ΜΘ130 2 Compulsory 4 2L
6
Avlonitis M.
 
Description:
The probability concept. Classical and empirical definition of probability. Conditional probability and independence. Bayes law. Combinatorial analysis. The concept of random variables. One-dimensional distributions. Functions of random variables. Mean value, variance, correlation functions , correlation coefficient. Multi-dimensional distributions. Central limit theorem. Moment generating functions. Random walks. Stochastic processes.  Master Equation, Langevin Equation, Fokker-Planck Equation, Markov Chains.
 
Bibliography:
  1. “ΕΙΣΑΓΩΓΗ ΣΤΗ ΘΕΩΡΙΑ ΠΙΘΑΝΟΤΗΤΩΝ”, HOEL P., PORT S., STONE C., Εκδόσεις ΙΤΕ-ΠΑΝΕΠΙΣΤΗΜΙΑΚΕΣ ΕΚΔΟΣΕΙΣ ΚΡΗΤΗΣ, ISBN 978-960-524-156-8, 2009
  2. “Πιθανότητες, τυχαίες μεταβλητές και στοχαστικές διαδικασίες”, Papoulis Athanasios, Pillai S. Unnikrishna, Εκδόσεις ΤΖΙΟΛΑ, ISBN 978-960-418-127-8, 2007
 
Additional Material:

 

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