Stochastic Processes II - NSTP039
Title: Náhodné procesy II
Guaranteed by: Department of Probability and Mathematical Statistics (32-KPMS)
Faculty: Faculty of Mathematics and Physics
Actual: from 2010
Semester: summer
E-Credits: 9
Hours per week, examination: summer s.:4/2, C+Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: cancelled
Language: Czech
Teaching methods: full-time
Guarantor: doc. RNDr. Zuzana Prášková, CSc.
Class: Ekonometrie
Finanční a pojistná matematika
Mat. statistika
Teorie pravděpodobnosti
Classification: Mathematics > Probability and Statistics
Interchangeability : {NSTP239 a NSTP199}
Incompatibility : NSTP239
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Annotation -
Stationary processes. Continuity, differentiation and integration. Spectral representation. Linear process. Ergodicity, central limit theorems. Prediction and filtration. ARMA models and their statistical analysis.
Last update: T_KPMS (11.05.2004)
Aim of the course -

Students gain basic knowledge of the theory of stationary processes in both time and spectral domain. The aim is also to acquaint students with basic statistical properties of time series.

Last update: T_KPMS (20.05.2008)
Literature - Czech

Anděl J.: Statistická analýza časových řad. SNTL, Praha 1976

Brockwell P.J., Davis R.A.: Time series: Theory and Methods, Springer-Verlag, New York, 1987

Prášková, Z.: Základy náhodných procesů II. Karolinum, 2004.

Last update: T_KPMS (11.05.2005)
Teaching methods -

Lecture+exercises.

Last update: G_M (28.05.2008)
Syllabus -

Stationary processes.

Continuity, differentiation and integration.

Spectral representation.

Linear process. Ergodicity, central limit theorems.

Prediction and filtration.

ARMA models and their statistical analysis.

Last update: T_KPMS (11.05.2004)