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IBNR models with random delay distributions.

Insurance: Mathematics and Economics, 1992
Abstract The mechanisms governing occurrence and notification of insurance claims are represented by a stochastic model, which allows for random fluctuations in the underlying delay distribution. Moments of first and second order are given, thus enabling one to calculate the efficiency of linear IBNR predictors.
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Distributed Delay Case

2012
This chapter is dedicated to the case of neutral type linear systems with distributed delay. The structure of quadratic functionals that have prescribed time derivatives along the solutions of such a system is defined, and the corresponding Lyapunov matrices are introduced. A system of matrix equations that defines Lyapunov matrices is given.
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Systems with Distributed Delay

2012
The last chapter of the first part of the book is dedicated to the retarded type linear time-delay systems with distributed delay. First, quadratic functionals with a prescribed time derivative along the solutions of such a system are introduced and Lyapunov matrices that define the functional are derived.
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Modeling flight departure delay distributions

2014 International Conference on Computer, Control, Informatics and Its Applications (IC3INA), 2014
In this paper, we construct a probability distribution for flight departure delay durations. The probability distribution is developed by fitting historical departure delay data of an airline to a number of probability distributions. Then, we choose the most fitted model by applying two-stage Genetic Algorithm.
Khusnul Novianingsih, Rieske Hadianti
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Synchronization of Neural Networks Involving Distributed-Delay Coupling: A Distributed-Delay Differential Inequalities Approach

IEEE Transactions on Neural Networks and Learning Systems
In this article, we address the synchronization issue for coupled neural networks (CNNs) with mixed couplings by way of the delayed impulsive control, where the delay is distributed. Particularly, mixed couplings comprise the current-state coupling and the distributed-delay coupling, where influences on network connections caused by the past ...
Xiaoyu Zhang   +3 more
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Delay-dependent stability condition for systems with distributed delays

Fifth World Congress on Intelligent Control and Automation (IEEE Cat. No.04EX788), 2004
The delay-dependent stability of a class of linear systems with distributed delays was investigated. By choosing proper Lyapunov function, delay-dependent stability conditions of this class of systems are formulated in terms of existence of positive definite solutions to a linear matrix equation.
null Liu Xiangqian, null Xu Hongze
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Finite Dimensional Representation of Distributed Delay Systems

European Journal of Control, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fiagbedzi, Yawvi A., Boucherif, A.
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Synchronized patterns induced by distributed time delays

Physical Review E, 2008
Considering the fact that the distances between coupled oscillators may delay the receiving of signals, we study here the influence of uniformly distributed delays in an array of coupled pendulums instead of studying the influence of the coupling strength.
Jie, Zhou, Zonghua, Liu
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Attrition in Distributed Delay Models

IEEE Transactions on Systems, Man, and Cybernetics, 1977
Distributed time delay models are extended to deal with loss of entities from within the process being modeled. Analysis of a time-invariant distributed delay shows that the statistics of individual transit times through a delay process can be very sensitive to attrition incurred during the delay.
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Positive Systems with Distributed Delays

2017
This chapter is concerned with the \(L_{\infty }\)-gain analysis problem for positive linear systems with distributed delays. Inspired by the results in Chap. 2, for positive systems with distributed delays, it is natural to ask how distributed delays affect the \(L_\infty \)-gain. In this chapter, we provide a complete answer to this question.
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