Limit distributions of the upper order statistics for the Lévy-frailty Marshall-Olkin distribution

DOI10.1007/s10687-020-00386-zzbMath1469.62252arXiv1811.06034OpenAlexW3106030402MaRDI QIDQ2027091

Javiera Barrera, Guido Lagos

Publication date: 21 May 2021

Published in: Extremes (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.06034

zbMATH Keywords

reliabilityextreme-value theorydependent random variablesMarshall-Olkin distributionupper order statistics

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Statistics of extreme values; tail inference (62G32) Characterization and structure theory of statistical distributions (62E10) Convergence of probability measures (60B10) Applications of renewal theory (reliability, demand theory, etc.) (60K10)

Cites Work

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• Nonparametric estimation of multivariate extreme-value copulas
• On signature-based expressions of system reliability
• Multivariate extreme values in stationary random sequences
• Lévy-frailty copulas
• Extremes and related properties of random sequences and processes
• Extreme-value copulas associated with the expected scaled maximum of independent random variables
• Moment-based estimation of extendible Marshall-Olkin copulas
• Small time convergence of subordinators with regularly or slowly varying canonical measure
• Marshall-Olkin distributions -- advances in theory and applications. Selected papers based on the presentations at the conference, Bologna, Italy, October 2--3, 2013
• Limit distributions of upper order statistics for families of multivariate distributions
• Stochastic simulation: Algorithms and analysis
• Stochastic-Process Limits
• Bounds for left and right window cutoffs
• Reparameterizing Marshall–Olkin copulas with applications to sampling
• Common Poisson Shock Models: Applications to Insurance and Credit Risk Modelling
• Applied Probability and Queues
• Extremes and local dependence in stationary sequences
• Sampling Exchangeable and Hierarchical Marshall-Olkin Distributions
• Exact Rates of Convergence to a Stable Law
• Simulating Copulas
• Static Network Reliability Estimation under the Marshall-Olkin Copula
• A Survey of Dynamic Representations and Generalizations of the Marshall–Olkin Distribution
• The Mean of Marshall–Olkin-Dependent Exponential Random Variables
• A Multivariate Exponential Distribution

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