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Fluctuations of a super-Brownian motion with randomly controlled immigration

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Listed:
  • Hong, Wenming
  • Li, Zenghu

Abstract

We study the fluctuations around the mean of a super-Brownian motion with immigration controlled by the trajectory of a stationary immigration process. The main result is a central limit theorem which holds for all dimensions and leads to some Gaussian random fields.

Suggested Citation

  • Hong, Wenming & Li, Zenghu, 2001. "Fluctuations of a super-Brownian motion with randomly controlled immigration," Statistics & Probability Letters, Elsevier, vol. 51(3), pages 285-291, February.
    • Handle: RePEc:eee:stapro:v:51:y:2001:i:3:p:285-291
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    References listed on IDEAS

    as
    1. Li, Zeng-Hu, 1992. "Measure-valued branching processes with immigration," Stochastic Processes and their Applications, Elsevier, vol. 43(2), pages 249-264, December.
    2. Li, Zeng-Hu, 1996. "Immigration structures associated with Dawson-Watanabe superprocesses," Stochastic Processes and their Applications, Elsevier, vol. 62(1), pages 73-86, March.
    Full references (including those not matched with items on IDEAS)

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