张余辉, 赵奕. 带一般边界的非跨跳过程的稳定性[J]. 应用概率统计, 2026, 42(1): 16-33. DOI: 10.12460/j.issn.1001-4268.aps.2026.2024020
引用本文: 张余辉, 赵奕. 带一般边界的非跨跳过程的稳定性[J]. 应用概率统计, 2026, 42(1): 16-33. DOI: 10.12460/j.issn.1001-4268.aps.2026.2024020
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ZHANG Yuhui, ZHAO Yi, . On Stability of Skip-Free Processes with General Boundaries[J]. Chinese Journal of Applied Probability and Statistics, 2026, 42(1): 16-33.
Citation: ZHANG Yuhui, ZHAO Yi, . On Stability of Skip-Free Processes with General Boundaries[J]. Chinese Journal of Applied Probability and Statistics, 2026, 42(1): 16-33.
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带一般边界的非跨跳过程的稳定性

On Stability of Skip-Free Processes with General Boundaries

    摘要
  • 摘要: 本文分别对带一般边界的单生过程和单死过程, 利用最小非负解理论研究其相关稳定性问题并得到了显式判别准则, 包括唯一性, 常返性, 遍历性和强遍历性等.

     

    Abstract: This paper studies stability problems for single birth processes and single death processeswith general boundaries, respectively. By using the theory of minimal non-negative solutions, explicitcriteria are obtained, including uniqueness, recurrence, ergodicity, and strong ergodicity.

     

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