A note on the local asymptotic mixed normality of a controlled branching process with a random control function

A note on the local asymptotic mixed normality of a controlled branching process with a random control function

This note discusses the local asymptotic mixed normality property of a controlled branching process with a random control function. We establish this property under the assumption that the process is supercritical and on a non-extinction path.

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Veröffentlicht in:Statistics & probability letters 2022-02, Vol.181, p.109270, Article 109270
Hauptverfasser: Ramtirthkar, Mukund, Kale, Mohan
Format: Artikel
Sprache:eng
Schlagworte:
Controlled branching process
Likelihood
Local asymptotic mixed normality
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Zusammenfassung:This note discusses the local asymptotic mixed normality property of a controlled branching process with a random control function. We establish this property under the assumption that the process is supercritical and on a non-extinction path.
ISSN:0167-7152
1879-2103
DOI:10.1016/j.spl.2021.109270