Estimation of Distributions Under Dose-Effect Dependence with Fixed Experiment Plan

Estimation of Distributions Under Dose-Effect Dependence with Fixed Experiment Plan

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 functio...

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2017-02, Vol.220 (6), p.753-762
Hauptverfasser: Tikhov, M. S., Krishtopenko, D. S., Yaroschuk, M. V.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Distribution functions
Economic models
Estimators
Mathematics
Mathematics and Statistics
Normality
Probability distributions
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Zusammenfassung: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.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-016-3219-x