STRESS-STRENGTH RELIABILITY for P(Xr:n1}
STRESS-STRENGTH RELIABILITY for P(Xr:n1}<Yk:n2) in the EXPONENTIAL CASE
Stress-strength reliability, Squared error loss function, Uniformly minimum variance unbiased estimator Maximum likelihood estimator, Parallel and series systems,
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- Abramowitz, M. and Stegun, I. A. (1992), Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, Reprint of the 1972 edition, Dover Publications, New York.
- Ahmad, K. E., Fakhry, M. E. and Jaheen Z. F. (1997), Empirical Bayes estimation of P(X < Y ) and characterization of Burr type-X model, Journal of Statistical Planing and Inference, 64, 297–308.
- Basu, D. (1955), On statistics independent of a complete sufficient statistic, Sankhya, 15, 377–380.
- Bhattacharyya, G. K. and Johnson, R. A.(1974), Estimation of reliability in a multicomponent stressstrength model, Journal of the American Statistical Association, 69, 966–970.
- Chao, A. (1982), On comparing estimators of P(X < Y ) in the exponential case, IEEE Transactions on Reliability, 31, 389–392.
- David, H. A. and Nagaraja, H. N. (2003), Order Statistics, John Wiley & Sons, New York.
- DasGupta, A. (2008), Asymptotic Theory of Statistics and Probability, Springer, New York.
- Enis, P. and Geisser, S. (1971), Estimation of probability that Y < X, Journal of the American Statistical Association, 66, 162–168.
- Eryilmaz, S. (2008a), Consecutive k-out-of-n: G system in stress strength set up, Communication in Statistics-Simulation and Computation, 37, 579–589.
- Eryilmaz, S. (2008b), Multivariate stress-strength reliability model and its evaluation for coherent structures, Journal of Multivariate Analysis, 99, 1878–1887.
- Eryilmaz, S. (2010), On system reliability in stress-strength setup, Statistics and Probability Letters, 80, 834–839.
- Kelley, G. D., Kelley, J. A. and Schuncandy, W. R. (1976), Efficient estimation of P(X < Y ) in the exponential case, Technometrics, 18, 395–404.
- Kotz, S., Lumelskii, Y., Pensky, M. (2003) The Stress-Strength Model and its Generalizations: Theory and Applications, World Scientific, Singapore.
- Kundu, D. and Gupta, R. D. (2005), Estimation of P(X < Y ) for the generalized exponential distribution, Metrika, 61, 291–308.
- Lindley, D. V. (1980), Approximation Bayesian methods, Trabajos de Estadistica, 21, 223–237
- Pandey, M., Uddin, M. B. and Ferdous, J. (1992), Reliability estimation of an s-out-of-k system with non-identical component strengths: the Weibull case, Reliability Engineering and System Safety, 36, 109–116.
- Rao, C. R. (1973), Linear Statistical Inference and Its Applications, John Wiley and Sons, New York.
- Reiser, B. and Guttman, I. (1987), A comparison of three estimators for P(Y < X) in the normal case, Computational Statistics and Data Analysis, 5, 59–66.
- Sara¸coˇglu, B. and Kaya, M. F. (2007), Maximum likelihood estimation and confidence intervals of system reliability for Gompertz distribution in stress strength models, Sel¸cuk Journal of Applied Mathematics, 8, 25–36.
- Shah, S. P. and Sathe, Y. S. (1981), On estimating P(X > Y ) for the exponential distribution, Communication in Statistics-Theory and Methods, 10, 39–47.
- Tong, H. (1974), A note on the estimation of P(X < Y ) in the exponential case, Technometrics, 16, 617–625.
- ISSN: 1300-4077
- Başlangıç: 1998
- Yayıncı: Başbakanlık
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STRESS-STRENGTH RELIABILITY for P(Xr:n1}<Yk:n2) in the EXPONENTIAL CASE