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On the spectral density of stationary processes and random fields. / Lifshits, M. A.; Peligrad, M.

In: Journal of Mathematical Sciences (United States), Vol. 219, No. 5, 2016, p. 789-797.

Research output: Contribution to journal › Article › peer-review

Harvard

Lifshits, MA & Peligrad, M 2016, 'On the spectral density of stationary processes and random fields', Journal of Mathematical Sciences (United States), vol. 219, no. 5, pp. 789-797. https://doi.org/10.1007/s10958-016-3147-9

APA

Lifshits, M. A., & Peligrad, M. (2016). On the spectral density of stationary processes and random fields. Journal of Mathematical Sciences (United States), 219(5), 789-797. https://doi.org/10.1007/s10958-016-3147-9

Vancouver

Lifshits MA, Peligrad M. On the spectral density of stationary processes and random fields. Journal of Mathematical Sciences (United States). 2016;219(5):789-797. https://doi.org/10.1007/s10958-016-3147-9

Author

Lifshits, M. A. ; Peligrad, M. / On the spectral density of stationary processes and random fields. In: Journal of Mathematical Sciences (United States). 2016 ; Vol. 219, No. 5. pp. 789-797.

BibTeX

@article{a8d89f0b0bdf4d59bc7ffe92e71cee18,
title = "On the spectral density of stationary processes and random fields",
abstract = "In this note, we show that a stationary sequence obtained by applying a fixed deterministic function to shifts of a stationary sequence (satisfying a mild regularity condition) has a spectral density. In the multiparametric setting, we obtain a similar result for a function of a shifted i.i.d. field. Bibliography: 7 titles.",
author = "Lifshits, {M. A.} and M. Peligrad",
note = "Lifshits, M.A., Peligrad, M. On the Spectral Density of Stationary Processes and Random Fields. J Math Sci 219, 789–797 (2016). https://doi.org/10.1007/s10958-016-3147-9",
year = "2016",
doi = "10.1007/s10958-016-3147-9",
language = "English",
volume = "219",
pages = "789--797",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "5",

}

RIS

TY - JOUR

T1 - On the spectral density of stationary processes and random fields

AU - Lifshits, M. A.

AU - Peligrad, M.

N1 - Lifshits, M.A., Peligrad, M. On the Spectral Density of Stationary Processes and Random Fields. J Math Sci 219, 789–797 (2016). https://doi.org/10.1007/s10958-016-3147-9

PY - 2016

Y1 - 2016

N2 - In this note, we show that a stationary sequence obtained by applying a fixed deterministic function to shifts of a stationary sequence (satisfying a mild regularity condition) has a spectral density. In the multiparametric setting, we obtain a similar result for a function of a shifted i.i.d. field. Bibliography: 7 titles.

AB - In this note, we show that a stationary sequence obtained by applying a fixed deterministic function to shifts of a stationary sequence (satisfying a mild regularity condition) has a spectral density. In the multiparametric setting, we obtain a similar result for a function of a shifted i.i.d. field. Bibliography: 7 titles.

UR - http://www.scopus.com/inward/record.url?scp=85046833229&partnerID=8YFLogxK

U2 - 10.1007/s10958-016-3147-9

DO - 10.1007/s10958-016-3147-9

M3 - Article

AN - SCOPUS:85046833229

VL - 219

SP - 789

EP - 797

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 5

ER -

ID: 37009574