Linear transformations of locally stationary processes
Aplikace matematiky (1989)
- Volume: 34, Issue: 1, page 57-66
- ISSN: 0862-7940
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topMichálek, Jiří. "Linear transformations of locally stationary processes." Aplikace matematiky 34.1 (1989): 57-66. <http://eudml.org/doc/15564>.
@article{Michálek1989,
	abstract = {The paper deals with linear transformations of harmonizable locally stationary random processes. Necessary and sufficient conditions under which a linear transformation defines again a locally stationary process are given.},
	author = {Michálek, Jiří},
	journal = {Aplikace matematiky},
	keywords = {harmonizable process; spectral decomposition; locally stationary process; covariance function; harmonizable process; spectral decomposition; locally stationary process; covariance function},
	language = {eng},
	number = {1},
	pages = {57-66},
	publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
	title = {Linear transformations of locally stationary processes},
	url = {http://eudml.org/doc/15564},
	volume = {34},
	year = {1989},
}
TY  - JOUR
AU  - Michálek, Jiří
TI  - Linear transformations of locally stationary processes
JO  - Aplikace matematiky
PY  - 1989
PB  - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL  - 34
IS  - 1
SP  - 57
EP  - 66
AB  - The paper deals with linear transformations of harmonizable locally stationary random processes. Necessary and sufficient conditions under which a linear transformation defines again a locally stationary process are given.
LA  - eng
KW  - harmonizable process; spectral decomposition; locally stationary process; covariance function; harmonizable process; spectral decomposition; locally stationary process; covariance function
UR  - http://eudml.org/doc/15564
ER  - 
References
top- R. A. Silverman, 10.1109/TIT.1957.1057413, IRE Transactions of Information Theory IT-3 (1957), 3, 182-187. (1957) MR0090931DOI10.1109/TIT.1957.1057413
- M. Loève, Probability Theory, D. van Nostrand, Toronto - New York- London, 1955. (1955) MR0203748
- J. Michálek, Spectral decomposition of locally stationary random processes, Kybernetika 22 (1986), 3, 244-255. (1986) MR0852324
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