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Second order branching process with continuous state space

Author

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  • Kashikar, Akanksha S.
  • Deshmukh, S.R.

Abstract

We study an extension of a branching process with continuous state space to account for higher order dependence. Probabilistic properties such as extinction probability, mean, variance and the limiting behaviour of the generation sizes are discussed.

Suggested Citation

  • Kashikar, Akanksha S. & Deshmukh, S.R., 2012. "Second order branching process with continuous state space," Statistics & Probability Letters, Elsevier, vol. 82(11), pages 1930-1934.
  • Handle: RePEc:eee:stapro:v:82:y:2012:i:11:p:1930-1934
    DOI: 10.1016/j.spl.2012.06.009
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    Cited by:

    1. Akanksha Kashikar & S. Deshmukh, 2015. "Probabilistic properties of second order branching process," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 67(3), pages 557-572, June.
    2. Chen Zhang & Alwell Oyet, 2014. "Second order longitudinal dynamic models with covariates: estimation and forecasting," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 77(7), pages 837-859, October.

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