Parameter estimation for multi-state coherent series and parallel systems with positively quadrant dependent models

DOI10.1007/s13171-020-00217-0OpenAlexW3083540192MaRDI QIDQ2082345

Sanjeev Sabnis, Sujit Kumar Ghosh, Leena Kulkarni

Publication date: 4 October 2022

Published in: Sankhyā. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13171-020-00217-0

zbMATH Keywords

maximum likelihood estimationgeneralized method of momentsFarlie-Gumbel-Morgenstern distributionpositively quadrant dependentmulti-state series system

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Point estimation (62F10) Reliability and life testing (62N05)

Related Items (2)

Estimating the parameters of a dependent model and applying it to environmental data set ⋮ Bounds for joint probabilities of multistate systems using preservation of log‐concavity

Uses Software

• L-BFGS-B
• CopulaModel

Cites Work

• Weak and strong uniform consistency of the kernel estimate of a density and its derivatives
• Multi-state System Reliability Analysis and Optimization for Engineers and Industrial Managers
• Multistate Systems Reliability Theory with Applications
• Dependence Modeling with Copulas
• Asymptotic Minimax Character of the Sample Distribution Function and of the Classical Multinomial Estimator
• Algorithm 778: L-BFGS-B
• Testing for Concordance Ordering
• A kolmogorov-smirnov type test for positive quadrant dependence
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