Journals / Hacettepe Journal of Mathematics and Statistics / 2012 / Cilt: 41 - Sayı: 1

On the Mean Residual Lifetime at System Level in Two-Component Parallel Systems for the FGM Distribution FULL TEXT

Pages
139–145
Publication Date
2012-01-01
DOI
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UCER, B., GURLER, S. (2012). On the Mean Residual Lifetime at System Level in Two-Component Parallel Systems for the FGM Distribution FULL TEXT. Hacettepe Journal of Mathematics and Statistics, Cilt: 41 - Sayı: 1, 139–145. https://ajindex.com/articles/669673

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References (16)

  1. Asadi, M. and Bairamov, I. G. A note on the mean residual life function of a parallel system, Communications in Statistics-Theory and Methods 34(2), 475–484, 2005.
  2. Bairamov, I. G., Ahsanullah, M. and Akhundov, I. A residual life function of a system having parallel or series structure, J. Statist. Theor. Appl. 1 (2), 119–132, 2002.
  3. Bairamov, I. G. and Kotz, S. Dependence structure and symmetry of Huang-Kotz FGM distributions and their extensions, Metrika 56, 55–72, 2002.
  4. Bairamov, I. G. and Parsi, S. Order statistics from mixed exchangeable random variables, Journal of Computational and Applied Mathematics 235 (16), 4629–4638, 2011.
  5. David, H. A. and Nagaraja, H. N. Order Statistics (Wiley Series in Probability and Statistics, New Jersey, 2003).
  6. Farlie, D. J. G. The performance of some correlation coeffcients for a general bivariate dis- tribution, Biometrika 47, 307–323, 1960.
  7. Gumbel, E. J. Bivariate exponential distributions, Journ. Amer. Statist. Assoc. 55, 698–707, 1960. [8] Gurler, S. On residual lifetimes in sequential (n −k +1)-out-of-n systems, Statistical Papers 53, 23–31, 2012.
  8. Huang, J. S. and Kotz, S. Correlation structure in iterated Farlie-Gumbel-Morgenstern dis- tributions, Biometrika 71, 633–636, 1984.
  9. Johnson, N. L. and Kotz, S. On some generalized Farlie-Gumbel-Morgenstern distributions, Communications in Statistics-Theory and Methods 4, 415–427, 1975.
  10. Li, X. and Zhang, Z. Some stochastic comparisons of conditional coherent systems, Applied Stochastic Models in Business and Industry 24, 541–549, 2008.
  11. Morgenstern, D. Einfache Beispiele zweidimensionaler Verteilungen, Mitteilungsblatt fur Mathematishe Statistik 8, 234–235, 1956.
  12. Navarro, J. and Hernandez, P. J. Mean residual life functions of finite mixtures, order sta- tistics and coherent systems, Metrika 67 (3), 277–298, 2008.
  13. Navarro, J. and Lai, C. D. Ordering properties of systems with two dependent componens, Communications in Statistics-Theory and Methods 36 (3), 645–655, 2007.
  14. Navarro, J., Ruiz, J. M. and Sandoval, C. J. Reliability properties of systems with exchange- able components and exponential distributions, Test 15 (2), 471–484, 2006.
  15. Navarro, J. and Rychlik, T. Reliability and expectation bounds for coherent systems with exchangeable components, Journal of Multivariate Analysis 98, 102–113, 2007.
  16. Navarro, J. and Spizzichino, F. Comparisons of series and parallel systems with components sharing the same copula, Applied Stochastic Models in Business and Industry 26, 775–791,