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Course Information

Course Name
Turkish Olasılık Kuramı&Rastlan.Süreçl
English Probability Theory and Stochastic Processes
Course Code
KOM 505 Credit Lecture
(hour/week)
Recitation
(hour/week)
Laboratory
(hour/week)
Semester 1
3 3 - -
Course Language Turkish
Course Coordinator Müjde Güzelkaya
Course Objectives 1.To improve the knowledge of students on probability theory,
2.To train students on random processes and related properties,
3.To provide a basis for the solution of the engineering problems involving stochastic structure,
4.To provide practice for developing critical thinking skills and solving open ended problems.
Course Description Random variables, distribution function, probability mass and density functions; multivariate random variables, joint distributions, functions of random variables, conditional distributions; expected value, moments and related concepts; moment generating function, characteristic function; some special continuous and discrete distributions; random processes, basic definitions, stationary and independent processes, ergodicity; Poisson, Wiener, Gauss, Markov processes; the concepts of stochastic continuity, derivative, integral; the concept of power spectrum.
Course Outcomes I. Random variables and related functions,
II. Multivariate random variables, joint distributions and conditional distributions,
III. The expected value, moments and related concepts,
IV. Special continuous and discrete random distributions and their properties,
V. The concept of random processes and related definitions,
VI. Stationary and independent processes and ergodicity,
VII. Poisson, Wiener, Gauss, Markov processes and their properties,
VIII. The concepts of stochastic continuity, derivative and integral,
IX. The concept of power spectrum.
Pre-requisite(s)
Required Facilities
Other
Textbook
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