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Portmanteau theorem for unbounded measures

Author

Listed:
  • Barczy, Mátyás
  • Pap, Gyula

Abstract

We prove an analogue of the portmanteau theorem on weak convergence of probability measures allowing measures which are unbounded on an underlying metric space but finite on the complement of any Borel neighbourhood of a fixed element.

Suggested Citation

  • Barczy, Mátyás & Pap, Gyula, 2006. "Portmanteau theorem for unbounded measures," Statistics & Probability Letters, Elsevier, vol. 76(17), pages 1831-1835, November.
    • Handle: RePEc:eee:stapro:v:76:y:2006:i:17:p:1831-1835
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    Cited by:

    1. Feng, Tao & Qiu, Zhipeng & Meng, Xinzhu & Rong, Libin, 2019. "Analysis of a stochastic HIV-1 infection model with degenerate diffusion," Applied Mathematics and Computation, Elsevier, vol. 348(C), pages 437-455.
    2. Tan, Yiping & Cai, Yongli & Wang, Xiaoqin & Peng, Zhihang & Wang, Kai & Yao, Ruoxia & Wang, Weiming, 2023. "Stochastic dynamics of an SIS epidemiological model with media coverage," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 204(C), pages 1-27.
    3. Huang, Zaitang & Cao, Junfei & Long, Guangqin, 2018. "Long-time behavior of stochastic multimolecular reaction model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 331-344.

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