On Conditional Inactivity Time of Failed Components in an (n-k+1)-out-of-n System with Nonidentical Independent Components

Author:

Sajadi Farkhondeh Alsadat,Poursaeed Mohammad Hossein,Goli Sareh, , ,

Publisher

CMV Verlag

Subject

Statistics and Probability

Reference20 articles.

1. 1-Eryılmaz, S. (2013), textit{On residual lifetime of coherent systems after the $r^{text{th}}$ failure}. Statistical Papers, textbf{54},243-250. 2-Gurler, S. and Bairamov, I. (2009), textit{Parallel and k-out-of-n: G systems with nonidentical components and their mean residual life functions}. Applied Mathematical Modelling, textbf{33}, 1116-1125. 3- Kochar, S., Mukerjee, H. and Samaniego, F. J. (1999) textit{The “signature” of a coherent system and its application to comparison among systems}. Naval Research Logistics, textbf{46},507-523. 4- Kochar, S. and Xu, M. (1010), textit{On residual lifetimes of k-out-of-n systems with nonidentical components}. Probability in the Engineering and Informational Sciences, textbf{24}, 109-127. 5-Khaledi, B. E. and Shaked, M. (2007), Otextit{rdering conditional lifetimes of coherent systems}. Journal of Statistical Planning and Inference, textbf{137}, 1173-1184. 6- Li, X. and Zhao, P.( 2006), textit{Some aging properties of the residual life of k-out-of-n systems}. IEEE Transactions on Reliability, textbf{55}, 535-541. 7-Li, X. and Zhao, P.( 2008), textit{Stochastic comparison on general inactivity time and general residual life of $k$-out-of-$n$ system}. Communication in Statistics- Simulation and Computation, textbf{37}, 1005-1019. 8-Li, X. and Zhang, Z. (2008), textit{Some stochastic comparisons of conditional coherent systems}. Applied Stochastic Models in Business and Industry, textbf{24}, 541-549. 9- Navarro, J., Ruiz,J. M. and Sandoval, C. J. (2005), textit{A note on comparisons among coherent systems with dependent components using signatures}. Statistics and Probability Letters, textbf{72}, 179-185. 10- Navarro, J., Balakrishnan, N. and Samaniego, F. J. (2008), textit{Mixture representations of residual lifetimes of used systems}. Journal of Applied Probability, textbf{45}, 1097-1112. 11- Navarro, J., Aguila, Y., Sordo, M. A. and Suarez-Llorens, A. (2013), textit{Stochastic ordering properties for systems with dependent identically distributed components}. Applied Stochastic Models in Business and Industry, textbf{29}, 264-278. 12- Navarro, J., Samaniego, F.J. and Balakrishnan, N. (2013), textit{Mixture representations for the joint distribution of lifetimes of two coherent systems with shared components}. Advances in Applied Probability, textbf{45}, 1011-1027. 13-Sadegh, M. K. (2008), textit{Mean past and mean residual Life of parallel system with nonidentical components}. Communications in Statistics Theory and Methods, textbf{37}, 1137-1145. 14- Salehi, E. T. , Asadi, M. and Eryılmaz, S. (2012), textit{On the mean residual lifetime of consecutive $k$-out-of-$n$ systems }. Test, textbf{21}, 93-115. 15-Salehi, E. and Tavangar M. (2019), textit{Stochastic comparisons on conditional residual lifetime and inactivity time of coherent systems with exchangeable components}, Statistics and Probability Letters, textbf{145}, 327-337. 16- Tavangar, M. (2016), textit{Conditional inactivity time of components in a coherent operating system}. IEEE Transactions on Reliability, textbf{65}, 359-369. 17- Zhang, Z. (2010), textit{Ordering conditional general coherent systems with exchangeable components}. Journal of Statistical Planning and Inference. textbf{140}, 454-460. 18-Zhao, P. Li, X. and Balakrishnan, N. (2008), textit{Conditional ordering of $k$-out-of-$n$ systems with independent but nonidentical components}. Journal of Applied Probability, textbf{45}, 1113-1125.

2. On the mean past lifetime of the components of a parallel system

3. On residual lifetime of coherent systems after the rth failure

4. Parallel and k-out-of-n: G systems with nonidentical components and their mean residual life functions

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