Functional equations involving Sibuya's dependence function

DOI10.1007/s00010-018-0544-9zbMath1394.60011OpenAlexW2794650134WikidataQ111288254 ScholiaQ111288254MaRDI QIDQ1647751

Jayme Pinto, Nikolai Kolev

Publication date: 26 June 2018

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-018-0544-9

zbMATH Keywords

copuladependence functioncharacterizationfunctional equationshazard ratebivariate lack of memory propertyGumbel's type I bivariate exponential distributionMarshall-Olkin's fatal shock model

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Applications of renewal theory (reliability, demand theory, etc.) (60K10) Reliability and life testing (62N05)

Related Items (1)

Lack-of-partial-memory and aging properties of multivariate generalized Marshall-Olkin distributions

Cites Work

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• Generalized Marshall-Olkin distributions and related bivariate aging properties
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• On bivariate lack of memory property and a new definition
• Sibuya-type bivariate lack of memory property
• Dependence Modeling with Copulas
• Bivariate Exponential Distributions
• Extended Marshall–Olkin Model and Its Dual Version
• A Multivariate Exponential Distribution
• On the preservation of copula structure under truncation

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