Bootstrap-based techniques for computing confidence intervals in Monte Carlo system reliability evaluation

Proceedings - Annual Reliability and Maintainability Symposium

Volumn , Issue , 2005, Pages 303-307

  Rocco S , Claudio M ^a   Zio, Enrico ^b  

^a UNIVERSIDAD CENTRAL DE VENEZUELA   (Venezuela)

^b POLITECNICO DI MILANO   (Italy)

Author keywords

Bootstrap; Confidence Intervals; Monte Carlo Sampling and Simulation; Reliability Evaluation

Indexed keywords

BOOTSTRAP-BASED TECHNIQUES; CONFIDENCE INTERVALS; MONTE CARLO SAMPLING AND SIMULATION; RELIABILITY EVALUATION; BOOTSTRAP;

COMPUTER SIMULATION; MONTE CARLO METHODS; SAMPLING; STATISTICAL METHODS; COMPUTATIONAL METHODS; RELIABILITY; STATISTICS;

RELIABILITY; MONTE CARLO METHODS;

EID: 27744489626     PISSN: 0149144X     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (19)

1. Marseguerra M., Zio E., Basics of the Monte Carlo Method with Application to System Reliability, LiLoLe-Verlag GmbH (Publ. Co. Ltd.), 2002.
2. Marseguerra M., Zio E: Nonlinear Monte Carlo Reliability Analysis with Biasing Towards Top Event, Reliability Engineering and System Safety, 40, pp. 31-42, 1993
3. Reingold E., Nievergelt J., Deo N.: Combinatorial Algorithms: Theory and Practice, Prentice Hall, New Jersey, 1977
4. Papadimitriou C. H., Steiglitz K.: Combinatorial Optimisation: Algorithms and Complexity, Prentice Hall, New Jersey, 1982
5. Billinton, R. Li W.: Reliability Assessment of Electric Power System Using Monte Carlo Methods. Plenum Press. 1994
6. Fishman G.S.: A Comparison of Four Monte Carlo Methods for Estimating the Probability of s-t Connectedness, IEEE Transaction on Reliability, Vol. 35, No. 2, pp 145-155, 1986
7. Manzi E., Labbé M., Latouche G., Maffioli F.: Fishman's Sampling Plan for Computing Network Reliability, IEEE Transaction on Reliability, Vol. 50, No. 1, pp 41-46, 2001
8. Bulteau S., El Khadiri M.: A Monte Carlo Simulation of the Flow Network Reliability using Importance and Stratified Sampling, Rapport de recherche No. 3122, Institut National de Recherche en Informatique et en Automatique, Rennes, France, 1997
9. Heinrich G.: A Bootstrap Analysis of Poverty and Inequality using the PACO Database. Centre for Economic Reform and Transformation, Heriot Watt University in its series CERT Discussion Papers with number 98/02, http://ideas.repec.org/p/hwe/certdp/9802.html
10. Zoubir A.M., Boashash B.: The Bootstrap and its Application in Signal Processing, IEEE Signal and Processing Magazine, 15:56-76, 1998
11. Fortin M.J., Jacquez, Shipley B.: Computer-intensive methods, Volume I, pp 399-402 In Enyclopedia of Environmetrics, El-Shaarawi A. And Piegorsch Ed., John Wiley & Sons, Ltd, Chichester, 2002
12. Phillips M.J.: Bootstrap Confidence Regions for the Expected ROCOF of a Repairable System, IEEE Transaction on Reliability, Vol. 49, No. 2, pp 204-208, 1988
13. Mooney C.Z., Duval R.D.: Bootstrapping: A Nonparametric Approach to Statistical Inference (Sage University Paper series on Quantitative Applications in the Social Sciences, series No. 07-095). Newburry Park, CA, 1993
14. Swanepoel C.: The Teaching and Practical Implementation of the Non-parametric Bootstrap, ICOTS-6, The Sixth International Conference on Teaching Statistics, Cape Town, South Africa, 2002, http://icots6.haifa.ac.il/
15. Efron B., Tibshiriani R.J.: An Introduction to the Bootstrap, Monographs on Statistics and Applied Probability 57, Chapman & Hall, New York (1993)
16. Yoo Y.B., Deo N.: "A Comparison of Algorithm for Terminal-Pair Reliability", IEEE Transaction on Reliability, Vol. 37, No. 2, pp 216-221, 1988
17. Borgonovo E., Apostolakis G.E.: A new importance measure for risk-informed decision making. Reliability Engineering and System Safety, 72/2, pp 193-212, 2001
18. Martínez L.: NeReA: A Network Reliability Assessment software, M.Sc. Thesis, Facultad de Ingeniería, Universidad Central de Venezuela, June 2002 (in Spanish)
19. Anders G.J.: Probability Concepts in Electric Power Systems, John Wiley & Sons, New York, 1990