Reliability of coherent systems

• Grant number: 10/06139-2
• Support Opportunities: Scholarships abroad - Research
• Start date: August 16, 2010
• End date: July 31, 2011
• Field of knowledge: Physical Sciences and Mathematics - Probability and Statistics - Statistics
• Principal Investigator: Adriano Polpo de Campos
• Grantee: Adriano Polpo de Campos
• Host Investigator: Debajyoti Sinha
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
• Institution abroad: Florida State University, United States

Abstract

The problem of estimating and evaluate the reliability of coherent systems is widely studied in medicine and engineering. Methods for estimating system and component reliability are treated in many different ways. In general, the solutions presented are extremely limited and their implementations are given only for special cases. As far as we know, until now, the main studies were conducted to component systems in series. This project proposes to develop methods to evaluate the distribution functions (survival) of coherent systems with k (k > 1) components: systems for which at least j (j e 1) components must be working for the system works (j-out-of-k). The particular case of j = k (j = 1) is known as system with components in series (parallel). Important applications of this theory are the risk analysis models in Finance and Medicine. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

POLPO, A.; SINHA, D.. Correction in Bayesian nonparametric estimation in a series system or a competing-risk model. Statistics & Probability Letters, v. 81, n. 12, p. 1756-1759, DEC 2011. (10/06139-2)