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6193 Probability and Stochastic Processes - Five-year degree in Mathematics


Center
Faculty of Mathematics
Departament
Statistics and Operational Research
Lecturers in charge
Sin datos cargados
Met. Docent
Traditional classes and practical activities in computer rooms.
Met. Avaluació
written exam with conceptual and practical questions
Bibliografia
Bhat, U. N.and Miller, G. K: (2002) Elements of Applied Stochastic Processes. Third Edition. Hoboken: Wiley.
Ferrándiz, J. (2003) Apuntes de procesos estocásticos. Disponibles en http://www.uv.es/~armero/
Hoel, P. G., Port, S. C. and Stone, C. J. (1972) Introduction to Stochastic Processes. Boston: Houghton Mifflin Co.
Karlin, S. and Taylor, H. M. (1975) A first course in Stochastic Processes. New York: Academic Press.
Kulkarni, V. G. (1995) Modeling and analysis of stochastic systems. London: Chapman and Hall.
Kulkarni, V. G. (1999) Modeling, analysis, design and control of stochastic systems. New York: Springer-Berlag.
Resnick, S. I. (1992) Adventures in Stochastic Processes. Boston: Birkhäuser.
Continguts
1. Introduction
2. Stochastic Processes
3. Discrete-Time Markov Chains I.
4. Discrete-Time Harkov Chains II
5. Limiting behavior
6. Poisson processes
Objetius
Introduce the student to the basic probabilistic tools involved in the study of systems which temporal evolution depends on the chance. The main objective is to gain knowledge on the structure of the stochastic processes in order to recognise and analyse easy practical situations and to have enough background to be able to study stochastic processes more sophisticated in the future.
URL de Fitxa
http://www.uv.es/~armero/