Year: 2025
Type: preprint
Abstract: This paper quantifies the ergodicity and the rate of decay of the tail of the stationary distribution for a broad class of storage models, encompassing constant, linear, and power-type release rates with both finite and infinite activity input process. Our results are expressed in terms of the asymptotics of the release rate, the tail-decay rate of the Lévy measure of the input process and its (possibly infinite) first moment. Our framework unifies and significantly extends classical results on the stability of storage models. Under certain regularity assumptions, we also provide upper bounds on the stability in the Wasserstein distance.
Source: arXiv (Cornell University)
Authors: Brešar, Miha, Mijatović, Aleksandar, Sandrić, Nikola
Institution: Chinese University of Hong Kong, Shenzhen
Topic: Probability and Risk Models
Field: Decision Sciences
Domain: Social Sciences
Open Access status: green
OpenAlex ID: W7106136994
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