ZHANG Yuhui, ZHAO Yi. On Stability of Skip-Free Processes with General BoundariesJ. Chinese Journal of Applied Probability and Statistics, 2026, 42(1): 16-33. DOI: 10.12460/j.issn.1001-4268.aps.2026.2024020
Citation:
ZHANG Yuhui, ZHAO Yi. On Stability of Skip-Free Processes with General BoundariesJ. Chinese Journal of Applied Probability and Statistics, 2026, 42(1): 16-33. DOI: 10.12460/j.issn.1001-4268.aps.2026.2024020
ZHANG Yuhui, ZHAO Yi. On Stability of Skip-Free Processes with General BoundariesJ. Chinese Journal of Applied Probability and Statistics, 2026, 42(1): 16-33. DOI: 10.12460/j.issn.1001-4268.aps.2026.2024020
Citation:
ZHANG Yuhui, ZHAO Yi. On Stability of Skip-Free Processes with General BoundariesJ. Chinese Journal of Applied Probability and Statistics, 2026, 42(1): 16-33. DOI: 10.12460/j.issn.1001-4268.aps.2026.2024020
On Stability of Skip-Free Processes with General Boundaries
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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