Limit theorems for cumulative processes
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Cited by:
- Ohad Perry & Ward Whitt, 2013. "A Fluid Limit for an Overloaded X Model via a Stochastic Averaging Principle," Mathematics of Operations Research, INFORMS, vol. 38(2), pages 294-349, May.
- Jeffrey Kharoufeh & Steven Cox & Mark Oxley, 2013. "Reliability of manufacturing equipment in complex environments," Annals of Operations Research, Springer, vol. 209(1), pages 231-254, October.
- Sepehrifar, Mohammad B. & Khorshidian, Kavoos & Jamshidian, Ahmad R., 2015. "On renewal increasing mean residual life distributions: An age replacement model with hypothesis testing application," Statistics & Probability Letters, Elsevier, vol. 96(C), pages 117-122.
- Glynn, Peter W. & Whitt, Ward, 2002. "Necessary conditions in limit theorems for cumulative processes," Stochastic Processes and their Applications, Elsevier, vol. 98(2), pages 199-209, April.
- Jeffrey P. Kharoufeh & Dustin G. Mixon, 2009. "On a Markov‐modulated shock and wear process," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(6), pages 563-576, September.
- Dragan Radulović, 2004. "Renewal type bootstrap for Markov chains," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 13(1), pages 147-192, June.
- Pokalyuk, Cornelia & Mathew, Lisha A. & Metzler, Dirk & Pfaffelhuber, Peter, 2013. "Competing islands limit the rate of adaptation in structured populations," Theoretical Population Biology, Elsevier, vol. 90(C), pages 1-11.
- Cattiaux, Patrick & Colombani, Laetitia & Costa, Manon, 2023. "Asymptotic deviation bounds for cumulative processes," Stochastic Processes and their Applications, Elsevier, vol. 163(C), pages 85-105.
- Ward Whitt, 2016. "Heavy-traffic fluid limits for periodic infinite-server queues," Queueing Systems: Theory and Applications, Springer, vol. 84(1), pages 111-143, October.
- Bashtova, Elena & Shashkin, Alexey, 2022. "Strong Gaussian approximation for cumulative processes," Stochastic Processes and their Applications, Elsevier, vol. 150(C), pages 1-18.
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Keywords
regenerative processes cumulative processes random sums renewal processes central limit theorem law of large numbers law of the iterated logarithm functional limit theorems;Statistics
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