Hospital length of stay: A cross-specialty analysis and Beta-geometric model. [PDF]
PLoS ONE, 2023 BackgroundThe typical hospital Length of Stay (LOS) distribution is known to be right-skewed, to vary considerably across Diagnosis Related Groups (DRGs), and to contain markedly high values, in significant proportions.
Nassim Dehouche +6 more
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Power law behaviour in the saturation regime of fatality curves of the COVID-19 pandemic [PDF]
Scientific Reports, 2021 We apply a versatile growth model, whose growth rate is given by a generalised beta distribution, to describe the complex behaviour of the fatality curves of the COVID-19 disease for several countries in Europe and North America.
Giovani L. Vasconcelos +5 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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Ruin Probabilities with Dependence on the Number of Claims within a Fixed Time Window [PDF]
Risks, 2016 We analyse the ruin probabilities for a renewal insurance risk process with inter-arrival times depending on the claims that arrive within a fixed (past) time window. This dependence could be explained through a regenerative structure.
Corina Constantinescu +3 more
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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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Uniform Asymptotic Probability for Multi Renewal Risk Model with Strong Subexponential Tailed Claims [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2022 In this paper, we study the uniform asymptotic behavior for the ruin probability in a continuous time renewal counting process. For the proposed model, we assume that the financial claims for each extreme event are compensated by a finite number of ...
Fotis Loukissas, Alex Karagrigoriou
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Estimating Tail Probabilities of Random Sums of Phase-Type Scale Mixture Random Variables
Algorithms, 2022 We consider the problem of estimating tail probabilities of random sums of scale mixture of phase-type distributions—a class of distributions corresponding to random variables which can be represented as a product of a non-negative but otherwise ...
Hui Yao, Thomas Taimre
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Finite-time ruin probability of a perturbed risk model with dependent main and delayed claims
Nonlinear Analysis, 2021 This paper considers a delayed claim risk model with stochastic return and Brownian perturbation in which each main claim may be accompanied with a delayed claim occurring after a stochastic period of time, and the price process of the investment ...
Yang Yang, Xinzhi Wang, Zhimin Zhang
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Inhomogeneous Transmission and Asynchronic Mixing in the Spread of COVID-19 Epidemics
Frontiers in Physics, 2021 The ongoing epidemic of COVID-19 first found in China has reinforced the need to develop epidemiological models capable of describing the progression of the disease to be of use in the formulation of mitigation policies.
Carlos I. Mendoza
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