Archimedean Copulas-Based Estimation under One-Parameter Distributions in Coherent Systems

Ioannis S. Triantafyllou ()
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Ioannis S. Triantafyllou: Department of Statistics and Insurance Science, University of Piraeus, 18534 Piraeus, Greece

Mathematics, 2024, vol. 12, issue 2, 1-14

Abstract: In the present work we provide a signature-based framework for delivering the estimated mean lifetime along with the variance of the continuous distribution of a coherent system consisting of exchangeable components. The dependency of the components is modelled by the aid of well-known Archimedean multivariate copulas. The estimated results are calculated under two different copulas, namely the so-called Frank copula and the Joe copula. A numerical experimentation is carried out for illustrating the proposed procedure under all possible coherent systems with three components.

Keywords: moment estimator; Frank copula; Joe copula; maximal signatures; exchangeable components (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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