Email this article Estimation of Distributions Under Dose-Effect Dependence with Fixed Experiment Plan
- Authors: Tikhov M.S.1, Krishtopenko D.S.1, Yaroschuk M.V.1
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Affiliations:
- Lobachevksy State University of Nizhni Novgorod
- Issue: Vol 220, No 6 (2017)
- Pages: 753-762
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/238943
- DOI: https://doi.org/10.1007/s10958-016-3219-x
- ID: 238943
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Abstract
In the present paper we find the limit distributions of the Nadaraya–Watson estimators and asymptotically unbiased estimators of a distribution function under dose-effect dependence with fixed experiment plans. We prove the asymptotic normality of integrated square errors of the distribution function’s estimators.
About the authors
M. S. Tikhov
Lobachevksy State University of Nizhni Novgorod
Author for correspondence.
Email: tikhovm@mail.ru
Russian Federation, Nizhni Novgorod
D. S. Krishtopenko
Lobachevksy State University of Nizhni Novgorod
Email: tikhovm@mail.ru
Russian Federation, Nizhni Novgorod
M. V. Yaroschuk
Lobachevksy State University of Nizhni Novgorod
Email: tikhovm@mail.ru
Russian Federation, Nizhni Novgorod
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