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On the uniform strong consistency of an estimator of the offspring mean in a branching process with immigration

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  • Sriram, T. N.

Abstract

For the critical and sub-critical branching process with immigration, the natural estimator of the offspring mean 'm' is shown to be strongly consistent uniformly over a whole class of offspring distributions with m [epsilon] (0, 1] and bounded variance.

Suggested Citation

  • Sriram, T. N., 1991. "On the uniform strong consistency of an estimator of the offspring mean in a branching process with immigration," Statistics & Probability Letters, Elsevier, vol. 12(2), pages 151-155, August.
    • Handle: RePEc:eee:stapro:v:12:y:1991:i:2:p:151-155
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    Cited by:

    1. I. Rahimov, 2019. "Estimation of the mean in partially observed branching processes with general immigration," Statistical Inference for Stochastic Processes, Springer, vol. 22(1), pages 143-155, April.
    2. Shete, Sanjay & Sriram, T. N., 1998. "Fixed precision estimator of the offspring mean in branching processes," Stochastic Processes and their Applications, Elsevier, vol. 77(1), pages 17-33, September.

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