Asymptotics for the Solutions to Defective Renewal Equations [PDF]
Abstract and Applied Analysis, 2014 This paper investigates the defective renewal equations under the nonconvolution equivalent distribution class. The asymptotics of the solution to the defective renewal equations have been given for the heavy-tailed and light-tailed cases, respectively.
Kaiyong Wang, Yang Chen, Zhongquan Tan
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On the approximation of functions satisfying defective renewal equations [PDF]
Journal of Computational and Applied Mathematics, 2011 Functions satisfying a defective renewal equation arise commonly in applied probability models. Usually these functions don't admit a explicit expression. In this work we consider to approximate them by means of a gamma-type operator given in terms of the Laplace transform of the initial function.
C. Sangüesa
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Replenishment Cost of a Storage System Modelled through a Defective Renewal Equation [PDF]
, 2016 5 pages and no ...
Manuel Ferreira
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A generalized defective renewal equation for the surplus process perturbed by diffusion
Insurance: Mathematics and Economics, 2002 The authors consider the surplus process \(V(t)= u+ ct- S(t)+\sigma W(t)\), \(t\geq 0\), where \(\sigma> 0\), \(\{W(t): t\geq 0\}\) is a standard Wiener process, that is independent of the compound Poisson process \(\{S(t): t\geq 0\}\). The defective renewal equation for the expected discounted function of a penalty at the time of ruin is generalized ...
Tsai, Chi-Liang, Willmot, G.E.
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Rail Track Maintenance Planning: An Assessment Model [PDF]
, 2000 In Australia, railway track maintenance costs comprise between 25-35 percent of total freight train operating costs. Track maintenance planning models have been shown to reduce maintenance costs by 5 to 10 percent though improved planning.
Ferreira, Luis +2 more
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A Note on a Generalized Gerber–Shiu Discounted Penalty Function for a Compound Poisson Risk Model
Mathematics, 2019 In this paper, we propose a new generalized Gerber−Shiu discounted penalty function for a compound Poisson risk model, which can be used to study the moments of the ruin time.
Jiechang Ruan +5 more
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Infinite volume limits of polymer chains with periodic charges [PDF]
, 2006 The aim of this paper is twofold: - To give an elementary and self-contained proof of an explicit formula for the free energy for a general class of polymer chains interacting with an environment through periodic potentials.
Caravenna, Francesco +2 more
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Optimal control and optimal sensor activation for Markov decision problems with costly observations [PDF]
, 2015 This paper considers partial observation Markov decision processes. Besides the classical control decisions influencing the transition probabilities of the Markov process, we also consider control actions that can activate the sensors to provide more or ...
Boel, René, van Schuppen, Jan H.
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Asymptotic Distributions of the Overshoot and Undershoots for the L\'evy Insurance Risk Process in the Cram\'er and Convolution Equivalent Cases [PDF]
, 2011 Recent models of the insurance risk process use a L\'evy process to generalise the traditional Cram\'er-Lundberg compound Poisson model. This paper is concerned with the behaviour of the distributions of the overshoot and undershoots of a high level, for
Griffin, Philip S +2 more
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Convexity of ruin probability and optimal dividend strategies for a general Levy process [PDF]
, 2014 In this paper, we consider the optimal dividends problem for a company whose cash reserves follow a general Levy process with certain positive jumps and arbitrary negative jumps.
Shen, Ying +2 more
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