A classical and Bayesian estimation of a k-components load-sharing parallel system

Computational Statistics and Data Analysis

Volumn 52, Issue 12, 2008, Pages 5175-5185

  Singh, Bhupendra ^a   Sharma, K K ^a   Kumar, Anuj ^a  

^a CH CHARAN SINGH UNIVERSITY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

ADMINISTRATIVE DATA PROCESSING; BAYESIAN NETWORKS; ESTIMATION; FINANCIAL DATA PROCESSING; LOADS (FORCES); MARKOV PROCESSES; MAXIMUM LIKELIHOOD ESTIMATION; MONTE CARLO METHODS; STATISTICS;

BAYES ESTIMATES; BAYESIAN; BAYESIAN ESTIMATIONS; BOOTSTRAP CONFIDENCE INTERVALS; CREDIBLE INTERVALS; ELSEVIER (CO); ESTIMATION PROBLEMS; FAILURE TIME; GIBBS SAMPLER (GS); INDIVIDUAL (PSS 544-7); LIFE TESTING; MARKOV CHAIN MONTE CARLO TECHNIQUES; MAXIMUM LIKELIHOOD ESTIMATES; PARALLEL SYSTEMS; RANDOM VARIATIONS; TIME CONSUMING;

PARAMETER ESTIMATION;

EID: 47749095374     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2008.05.026     Document Type: Article

References (23)

1. Baklizi A. Estimation of P[X>Y] using record values in the one and two parameter exponential distributions. Communications in Statistics-Theory and Methods 35 5 (2008) 692-698
2. Bonferroni C.E. Teoria statistica delle classi e calcolo delle probabilita. Pubblicazioni del R Istituto Superiore di Scienze Economiche e Commerciali di Firenze 8 (1936) 3-62
3. Birnbaum Z., and Saunders. A statistical model for life-length of materials. Journal of the American Statistical Association 53 (1958) 151-160
4. Chen M.H., and Shao Q.M. Monte Carlo estimation of Bayesian credible and HPD intervals. Journal of Computational and Graphical Statistics 8 (1999) 69-92
5. Coleman B. Time dependence of mechanical breakdown in bundles of fibers, ii. Constant total load. Journal of Applied Physics 28 (1957) 1058-1064
6. Crowder M.J., Kimber A.C., Smith L.L., and Sweeting T.J. Statistical Analysis of Reliability Data (1991), Chapman and Hall
7. Daniels H.E. The statistical theory of the strength bundles of threads. Proceedings of the Royal Society, B 34 (1945) 187-220
8. Durham S.D., and Lynch J.D. A threshold representation for the strength distribution of a complex load sharing system. Journal of Statistical Planning and Inference 83 (2000) 25-46
9. Efron B. The Jacknife, the Bootstrap and Other Re-sampling Plans. CBMS-NSF Regional Conference Series in Applied Mathematics vol. 38 (1982), SIAM, Philadelphia, PA
10. Geman S., and Geman A. Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images. IEEE Transactions on Pattern analysis and Machine Intelligence 6 (1984) 721-740
11. Hall P. Theoretical comparison of bootstrap confidence intervals. Annals of Statistics 16 (1988) 927-953
12. Harlow D.G., and Phoenix S.L. Probability distribution for the strength of fibrous materials under local load sharing 1: Two level failure and edge effects. Advances in Applied Probability 14 (1978) 68-94
13. Kapur K.C., and Lamberson L.R. Reliability in Engineering Design (1980), John Wiley and Sons
14. Kim H., and Kvam P.H. Reliability estimation based on system data with an unknown load share rule. Lifetime Data Analysis 10 (2004) 83-94
15. Krishnamoorty K., Mathew T., and Mokherjee S. Normal-based methods for a gamma distribution: Prediction and tolerance intervals and stress-strength reliability. Technometrics 50 1 (2008) 69-78
16. Kvam P.H., and Pena E.A. Estimating load-share properties in a dynamic reliability system. Journal of the American Statistical Association 100 (2005) 262-272
17. Lewis E.E. Introduction to Reliability Engineering (1987), John Wiley and Sons
18. Liu H. Reliability of a load-sharing k-out-of-n: G system: Non-iid components with arbitrary distributions. IEEE Transactions on Reliability 47 3 (1998) 279-284
19. Owen W.J. An exponential damage model for strength of fibrous composite materials. IEEE Transactions on Reliability 56 3 (2007) 459-463
20. Rao C.R. Linear Statistical Inference and its Applications (1973), Wiley Eastern Ltd
21. Rosen B.W. Tensile failure of fibrous composites. AIAA Journal 2 (1964) 1985-1991
22. Ross S.M. A model in which component failure rates depend on the working set. Naval Research Logistics Q. 31 (1984) 297-300
23. Xiong C.J., Zhu K.J., and Ji M. Analysis of a simple step-stress life test with a random stress-change time. IEEE Transactions on Reliability 55 1 (2006) 64-74