Nonparametric Estimation of the Offspring Distribution and the Mean for a Controlled Branching Process

• Autores: Rodrigo Martínez, Inés del Puerto García, Miguel González Andrés
• Localización: Test: An Official Journal of the Spanish Society of Statistics and Operations Research, ISSN-e 1863-8260, ISSN 1133-0686, Vol. 13, Nº. 2, 2004, págs. 465-479
• Idioma: inglés
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• Resumen

  • 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.