Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics]
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Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics], 2018, Issue 4, Pages 31–49
DOI: https://doi.org/10.26456/vtpmk516 (Mi vtpmk516) 		 
This article is cited in 1 scientific paper (total in 2 paper)

Theory of Probability and Mathematical Statistics

Fourier methods for recursive estimating of distribution function in dose-effect relationship

M. S. Tikhov

Lobachevsky State University of Nizhniy Novgorod, Nizhniy Novgorod
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DOI: https://doi.org/10.26456/vtpmk516
Abstract: It is proposed a kernel Fourier methods for recursive estimating of the distribution function in dose-effect relationship where the entered doses are observed with errors. The asymptotic normality of the offered estimates is proved. The possibility for increasing the accuracy of the estimators through repeated measurements of the entered doses is discussed.
Keywords: dose-effect relationship, deconvolving kernel distribution function estimators, asymptotic normality.
Received: 06.08.2018
Revised: 19.09.2018
Bibliographic databases:
Document Type: Article
UDC: 519.2
MSC: 60, 62
Language: Russian
Citation: M. S. Tikhov, “Fourier methods for recursive estimating of distribution function in dose-effect relationship”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2018, no. 4, 31–49
Citation in format AMSBIB
\Bibitem{Tik18}
\by M.~S.~Tikhov
\paper Fourier methods for recursive estimating of distribution function in dose-effect relationship
\jour Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.]
\yr 2018
\issue 4
\pages 31--49
\mathnet{http://mi.mathnet.ru/vtpmk516}
\crossref{https://doi.org/10.26456/vtpmk516}
\elib{https://elibrary.ru/item.asp?id=36609908}
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