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Course Weekly Lecture Plan

Week Topic
1 1 Introduction, random variables and classification
2 Distribution functions, probability mass and density functions
3 Multivariate random variables and joint distributions
4 Functions of random variables, conditional distributions
5 Expected value and moments, moment generating function, characteristic function, conditional expected value and moments,
6 Discrete probability distributions (Bernoulli, binom, negative binom, geometrik, hipergeometrik distributions)
7 Discrete probability distributions (Poisson distribution), continuous probability distributions (uniform,exponential,Gauss distributions)
8 Continuous probability distributions (Erlang, Cauchy,Gamma, Laplace ve diğerleri) , law of large numbers and central limit theorem
9 Random processes and related functions (Distribution, correlation, variance, covariance functions)
10 Stationary processes, independent processes, processes with independent stationary increments, ergodicity
11 Poisson process, Wiener process
12 Gauss process , Markov process
13 Concepts of stochastic continuity, derivative and integral
14 Concept of power spectrum
 
 
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