Probability Theory I

Description

The sample distribution space - events - classical definition of mathematical probability - statistical regularity - axiomatic foundation of probability - Finite sample distribution spaces - combinatorics - geometric probabilities - Conditional probability - independence - Univariate random variables - distribution functions - function of a random variable - moments, moment-generating function - probability generating function - Useful univariate distributions: Discrete (Bernoulli, Binomial, Hypergeometric, Geometric, Negative Binomial, Poisson), Continuous (Uniform, Normal, Exponential, Gamma) - Applications.

Books: 
Θεωρία Πιθανοτήτων Ι των Σ. Κουνιά, Π. Μωυσιάδη.
Θεωρία Πιθανοτήτων και Εφαρμογές του Χ.Α. Χαραλαμπίδη.
Semester: 
Units: 
4
Credit Units (ECTS): 
7.0
Hours: 
4ώρες
ID: 
0502
Course Type: 
Prerequisites: 
X