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This article is cited in 3 scientific papers (total in 3 papers)
Limit theorems for generalized renewal processes
E. V. Bulinskayaa, A. I. Sokolova a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
The main aim of the present paper is the investigation of the asymptotic behavior of delayed periodic renewal processes. Strong law of large numbers (SLLN), central limit theorem (CLT), and functional limit theorem (FLT) are established for such processes. Application of the obtained results in the inventory theory is also considered.
Keywords:
generalized renewal processes, strong law of large numbers, central limit theorem, functional limit theorem, reward-renewal processes, inventory models.
Received: 28.07.2016 Accepted: 20.10.2016
Citation:
E. V. Bulinskaya, A. I. Sokolova, “Limit theorems for generalized renewal processes”, Teor. Veroyatnost. i Primenen., 62:1 (2017), 44–67; Theory Probab. Appl., 62:1 (2018), 35–54
Linking options:
https://www.mathnet.ru/eng/tvp5095https://doi.org/10.4213/tvp5095 https://www.mathnet.ru/eng/tvp/v62/i1/p44
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