Generalized stationary processes of Markovian character
K. Urbanik (1962)
Studia Mathematica
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K. Urbanik (1962)
Studia Mathematica
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Vladimír Klega (1983)
Aplikace matematiky
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The irregularity coefficient is one of the numerical characteristics of the spectral bandwith of a stationary random process. Its basic properties are investigated and the application to the dichotomic classification of a process into narrow-band and wide-band ones is given. Further, its behaviour is analyzed for sufficiently wide classes of stationary processes whose spectral densities frequently appear both in theory and applications.
Aleš Linka (1988)
Kybernetika
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Andrzej Makagon (1999)
Studia Mathematica
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A one-to-one correspondence between locally square integrable periodically correlated (PC) processes and a certain class of infinite-dimensional stationary processes is obtained. The correspondence complements and clarifies Gladyshev's known result [3] describing the correlation function of a continuous periodically correlated process. In contrast to Gladyshev's paper, the procedure for explicit reconstruction of one process from the other is provided. A representation of a PC process...
Grażyna Hajduk-Chmielewska (1988)
Studia Mathematica
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