Nonparametric estimation of the offspring distribution and the mean for a controlled branching process

In this paper, under a nonparametric context, some estimators for the mean and the offspring distribution of a controlled branching process are provided. Their conditional and unconditional moments and their asymptotic properties (consistency, normality) are investigated. Finally, as an illustration...

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Bibliographic Details
Published in:Test (Madrid, Spain) Spain), 2004-12, Vol.13 (2), p.465-479
Main Authors: González, Miguel, Martínez, Rodrigo, del Puerto, Inés
Format: Article
Language:English
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Studies
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Summary:In this paper, under a nonparametric context, some estimators for the mean and the offspring distribution of a controlled branching process are provided. Their conditional and unconditional moments and their asymptotic properties (consistency, normality) are investigated. Finally, as an illustration, a simulated example is presented.[PUBLICATION ABSTRACT]
ISSN:1133-0686
1863-8260
DOI:10.1007/BF02595782