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

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  • Ramtirthkar, Mukund
  • Kale, Mohan

Abstract

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.

Suggested Citation

  • Ramtirthkar, Mukund & Kale, Mohan, 2022. "A note on the local asymptotic mixed normality of a controlled branching process with a random control function," Statistics & Probability Letters, Elsevier, vol. 181(C).
    • Handle: RePEc:eee:stapro:v:181:y:2022:i:c:s0167715221002327
    DOI: 10.1016/j.spl.2021.109270
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    References listed on IDEAS

    as
    1. González, M. & Minuesa, C. & del Puerto, I., 2016. "Maximum likelihood estimation and expectation–maximization algorithm for controlled branching processes," Computational Statistics & Data Analysis, Elsevier, vol. 93(C), pages 209-227.
    2. Hwang, S.Y. & Basawa, I.V., 2011. "Asymptotic optimal inference for multivariate branching-Markov processes via martingale estimating functions and mixed normality," Journal of Multivariate Analysis, Elsevier, vol. 102(6), pages 1018-1031, July.
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