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Limit theorems for generalized Jirina processes

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  • Li, Yuqiang

Abstract

It is proved by a new method that continuous state size-dependent branching processes converge almost surely to 0 or [infinity] under some mild conditions. In addition, these processes are almost surely extinct in the subcritical case.

Suggested Citation

  • Li, Yuqiang, 2009. "Limit theorems for generalized Jirina processes," Statistics & Probability Letters, Elsevier, vol. 79(2), pages 158-164, January.
    • Handle: RePEc:eee:stapro:v:79:y:2009:i:2:p:158-164
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    Cited by:

    1. Matthew J. Lindquist & Joeri Sol & Mirjam Van Praag, 2015. "Why Do Entrepreneurial Parents Have Entrepreneurial Children?," Journal of Labor Economics, University of Chicago Press, vol. 33(2), pages 269-296.
    2. Lin, Wan-Ying & Zhang, Xinzhi & Jung, Joo-Young & Kim, Yong-Chan, 2013. "From the wired to wireless generation? Investigating teens’ Internet use through the mobile phone," Telecommunications Policy, Elsevier, vol. 37(8), pages 651-661.

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