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ON THE OUTCOME OF A CASCADING FAILURE MODEL

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Publication:3591537
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DOI10.1017/S0269964806060256zbMath1183.62177MaRDI QIDQ3591537

Claude Lefèvre

Publication date: 11 September 2007

Published in: Probability in the Engineering and Informational Sciences (Search for Journal in Brave)


zbMATH Keywords

loading-dependent model of cascading failurepartial joint distributions of order statistics


Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Reliability, availability, maintenance, inspection in operations research (90B25) Reliability and life testing (62N05)


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RISK MODELS IN INSURANCE AND EPIDEMICS: A BRIDGE THROUGH RANDOMIZED POLYNOMIALS ⋮ From damage models to SIR epidemics and cascading failures



Cites Work

  • Polynomial structures in order statistics distributions
  • Distributions of stopping times for poisson processes with linear boundaries
  • Distribution of first-exit times for empirical counting and poisson processes with moving boundaries
  • Comparing sums of exchangeable Bernoulli random variables
  • The distribution of general final state random variables for stochastic epidemic models
  • Nonstationarity and randomization in the Reed-Frost epidemic model
  • A unified analysis of the final size and severity distribution in collective Reed-Frost epidemic processes
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