Aynı Boyutlu Tutarlı Sistemlerin Sistem İmzası ile Karşılaştırılması

Anahtar Kelimeler:

Tutarlı sistemler, başarı yol kümesi, kesen küme, sistem imzası, sıralı istatistikler, stokastik sıralama, sağkalım hız sıralaması, olasılıksal oran sıralaması

Comparing coherent systems of same sizes via system signature

Bu çalışmada, bağımsız ve aynı dağılımlı n boyutlu tutarlı sistemlerin sistem imzası ile stokastik, sağkalım hız ve olasılıksal oran sıralaması anlamında nasıl karşılaştırıldıklarını inceledik. In this study, we examined how to compare the coherent systems of same sizes n whose components have independent and identically distributed (i.i.d.) lifetimes through system signature in terms of stochastic ordering(st), hazard rate ordering (hr), likelihood ratio ordering(lr).

Keywords:

Coherent systems, path set, cut set, system signature, order statistics, stochastic ordering, hazard rate ordering, likelihood ratio ordering,

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Barlow, R.E., Proschan, F., Statistical Theory of Reliability and Life Testing: Probability Models, s.1-25, Holt, Rinehart and Winston, Inc. New York, 1975.
Rausand, M., Hoyland, A., System Reliability Theory: Models, Statistical Wiley&Sons, Inc., Hoboken, New Jersey, 2004. and Applications, s.118-133, John
Kuo, W., Zuo, M., Optimal Reliability Modeling: Principles and Applications, s.85-95, John Wiley&Sons, Inc., Hoboken, New Jersey, 2003.
Samaniego, F.J., On Closure the IFR Class Under Formation of Coherent Systems, IEEE Trans. Reliab. Theory, 34, 69-72, 1985.
Samaniego, F.J., System Signatures and Their Applications in Engineering Reliability, s.20-27, Springer Science+Business Media, LLC, 2007.
Kochar, S., Mukerjee, H., Samaniego, F.J., The “Signature” of a Coherent System and Its Application to Comparisons Logistic, 46, 507-523, 1999. Systems, Naval Research
Navarro, J., Ruiz, J.M., Sandoval, C.J., A Note on Comparisons among Coherent Systems with Dependent Components Probability Letters, 72, 179-185, 2005. Signatures, Statistics and Navarro., J., et al., On the Application and Extension of
System Signatures in Engineering Reliability, Naval Research Logistic, 55, 313-326, 2008.
Da, G., Zheng, B., Hu, T., On Computing Signatures of Coherent Systems, Journal of Multivariate Analysis, , 142-150, 2012.
Marichal, J.L., Mathonet, P., Computing System Signatures through Reliability Functions, Statistics and Probability Letters, 83, 710-717, 2013.
Bulut, Y., Yaman, H., Farklı Boyutlu Tutarlı Sistemlerin Sistem İmzası ile Karşılaştırılması, Gaziosmanpaşa Bilimsel Araştırma Dergisi, 6, 85-102, David, H.A., Nagaraja, H.N., Order Statistics, s.74-76, John Wiley&Sons, Inc., Hoboken, New Jersey, 2003.
Barbour, A.D., Lindvall, T., Rogers, L.C.G., Stochastic Ordering of Order Statistics, Journal of Applied Probability, 28, 278-286, 1991.
Navarro, J., Shaked, M., Hazard Rate Ordering of Order Statistics and Systems, Journal of Applied Probability, , 391-408, 2006.
Boland, P.J., El-Neweihi, E., Proschan, F., Applications of the Hazard Rate Ordering in Reliability and Order Statistics, Journal of Applied Probability, 31, 180-192, Navarro, J., Tail Hazard Rate Ordering Properties of Order Statistics and Coherent Systems, Naval Research Logistic, 54, 820-828, 2007.
Bapat, R.B., Kochar, S.C., On Likelihood-Ratio Ordering of Order Statistics, Linear Algebra and Its Applications, 199, 281-291, 1994.
Ma, C., Likelihood Ratio Ordering of Order Statistics, Journal of Statistical Planning and Inference, 70, 255- , 1998.
Navarro, J., Likelihood Ratio Ordering of Order Statistics, Mixtures and Systems, Journal of Statistical Planning and Inference, 138, 1242-1257, 2008.
Roychowdhury, S.,Reliability Comparison Of Systems Of Different OrdersUsing Pseudo-Signatures, Electron. J. App. Stat. Anal., 5(2), 199 – 212, 2012.