2014/03/31 by Jean‐Luc Marichal, Jean-Luc Marichal
Computer Science · Decision Sciences · Mathematics · #Applied mathematics #Artificial intelligence #Bayesian Modeling and Causal Inference #Class (philosophy) #Component (thermodynamics) #Computer science #Function (biology) #Geometry #Mathematics #Multi-Criteria Decision Making #Ranging #Reliability (semiconductor) #Signature (topology) #Statistical Methods and Bayesian Inference #Statistical physics #math.PR #math.ST #msc:62N05 #msc:90B25 #msc:94C10 #stat.TH
paper · pdf · doi:10.1016/j.spl.2014.07.015
published as Statistics and Probability Letters 94 (2014) 128-134
openalex publication_date 2014/07/17 · arxiv created 2014/08/02 · arxiv updated 2014/08/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The subsignatures of a system with continuous and exchangeable component lifetimes form a class of indexes ranging from the Samaniego signature to the Barlow-Proschan importance index. These indexes can be computed through explicit linear expressions involving the values of the structure function of the system. We show how the subsignatures can be computed more efficiently from the reliability function of the system via identifications of variables, differentiations, and integrations.