A Local Version of the Muckenhoupt Condition and the Accuracy of Estimation of an Unknown Pseudoperiodic Function in Stationary Noise

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A Local Version of the Muckenhoupt Condition and the Accuracy of Estimation of an Unknown Pseudoperiodic Function in Stationary Noise. / Solev, V. N.

In: Journal of Mathematical Sciences , Vol. 244, No. 5, 01.02.2020, p. 896-902.

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

BibTeX

@article{e5ef07ca1d904d029a8a7b67954e9329,

title = "A Local Version of the Muckenhoupt Condition and the Accuracy of Estimation of an Unknown Pseudoperiodic Function in Stationary Noise",

abstract = "In this paper, we construct lower and upper bounds of the minimax risk in the estimation problem when we observe the unknown pseudoperiodic function in stationary noise with density satisfying a local version of the Muckenhoupt condition.",

author = "Solev, {V. N.}",

note = "Publisher Copyright: {\textcopyright} 2020, Springer Science+Business Media, LLC, part of Springer Nature.",

year = "2020",

month = feb,

day = "1",

doi = "10.1007/s10958-020-04661-z",

language = "English",

volume = "244",

pages = "896--902",

journal = "Journal of Mathematical Sciences",

issn = "1072-3374",

publisher = "Springer Nature",

number = "5",

}

RIS

TY - JOUR

T1 - A Local Version of the Muckenhoupt Condition and the Accuracy of Estimation of an Unknown Pseudoperiodic Function in Stationary Noise

AU - Solev, V. N.

PY - 2020/2/1

Y1 - 2020/2/1

N2 - In this paper, we construct lower and upper bounds of the minimax risk in the estimation problem when we observe the unknown pseudoperiodic function in stationary noise with density satisfying a local version of the Muckenhoupt condition.

AB - In this paper, we construct lower and upper bounds of the minimax risk in the estimation problem when we observe the unknown pseudoperiodic function in stationary noise with density satisfying a local version of the Muckenhoupt condition.

UR - http://www.scopus.com/inward/record.url?scp=85078593421&partnerID=8YFLogxK

U2 - 10.1007/s10958-020-04661-z

DO - 10.1007/s10958-020-04661-z

M3 - Article

VL - 244

SP - 896

EP - 902

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 5

ER -

ID: 78450119