A note on product-convolution for generalized subexponential distributions
Nonlinear Analysis, 2022 In this paper, we consider the stability property of the class of generalized subexponential distributions with respect to product-convolution. Assuming that the primary distribution is in the class of generalized subexponential distributions, we find ...
Dimitrios Konstantinides +2 more
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Randomly Stopped Sums with Generalized Subexponential Distribution
Axioms, 2023 Let {ξ1,ξ2,…} be a sequence of independent possibly differently distributed random variables, defined on a probability space (Ω,F,P) with distribution functions {Fξ1,Fξ2,…}. Let η be a counting random variable independent of sequence {ξ1,ξ2,…}.
Jūratė Karasevičienė, Jonas Šiaulys
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Product Convolution of Generalized Subexponential Distributions
Mathematics, 2023 Assume that ξ and η are two independent random variables with distribution functions Fξ and Fη, respectively. The distribution of a random variable ξη, denoted by Fξ⊗Fη, is called the product-convolution of Fξ and Fη.
Gustas Mikutavičius, Jonas Šiaulys
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AxiomsIn this paper, we find conditions under which distribution functions of randomly stopped minimum, maximum, minimum of sums and maximum of sums belong to the class of generalized subexponential distributions.
Jūratė Karasevičienė, Jonas Šiaulys
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Tails in generalized Jackson networks with subexponential service-time distributions [PDF]
Journal of Applied Probability, 2005 We give the exact asymptotics of the tail of the stationary maximal dater in generalized Jackson networks with subexponential service times. This maximal dater, which is an analogue of the workload in an isolated queue, gives the time taken to clear all customers present at some time t when stopping all arrivals that take place later than t. We use the
Baccelli, François +2 more
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Tails in Generalized Jackson Networks with Subexponential Service Distributions
, 2004 We give the exact asymptotic of the tail of the stationary maximal dater in generalized Jackson networks with subexponential service times. This maximal dater, which is an analogue of the workload in an isolated queue, gives the time to clear all customers present at some time t when stopping all arrivals taking place later than t.
Baccelli, François +2 more
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Data-driven estimation of the instantaneous reproduction number and growth rates for the 2022 monkeypox outbreak in Europe. [PDF]
PLoS One, 2023 Saldaña F, Daza-Torres ML, Aguiar M.
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Hospital length of stay: A cross-specialty analysis and Beta-geometric model. [PDF]
PLoS One, 2023 Dehouche N +6 more
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Orienteering with One Endomorphism. [PDF]
Mathematica (N Y), 2023 Arpin S +5 more
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Kaniadakis Functions beyond Statistical Mechanics: Weakest-Link Scaling, Power-Law Tails, and Modified Lognormal Distribution. [PDF]
Entropy (Basel), 2022 Hristopulos DT, Baxevani A.
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