Asymptotic Behavior of Local Times of Compound Poisson Processes with Drift in the Infinite Variance Case
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DOI: 10.1007/s10959-013-0492-1
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- Kang, Ju-Sung & Wee, In-Suk, 1997. "A note on the weak invariance principle for local times," Statistics & Probability Letters, Elsevier, vol. 32(2), pages 147-159, March.
- Andreas E. Kyprianou & Víctor Rivero & Renming Song, 2010. "Convexity and Smoothness of Scale Functions and de Finetti’s Control Problem," Journal of Theoretical Probability, Springer, vol. 23(2), pages 547-564, June.
- Helland, Inge S., 1978. "Continuity of a class of random time transformations," Stochastic Processes and their Applications, Elsevier, vol. 7(1), pages 79-99, March.
- Sagitov, Serik, 1995. "A key limit theorem for critical branching processes," Stochastic Processes and their Applications, Elsevier, vol. 56(1), pages 87-100, March.
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Cited by:
- Mijatović, Aleksandar & Uribe Bravo, Gerónimo, 2022. "Limit theorems for local times and applications to SDEs with jumps," Stochastic Processes and their Applications, Elsevier, vol. 153(C), pages 39-56.
- Bert Zwart, 2022. "Conjectures on symmetric queues in heavy traffic," Queueing Systems: Theory and Applications, Springer, vol. 100(3), pages 369-371, April.
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Keywords
Local times; Lévy processes; Infinite variance; Weak convergence; Crump–Mode–Jagers branching processes; Processor-Sharing queue;All these keywords.
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