Volume 37 • Number 1 • 2014   • On the Residual Life of the $\textit{k}$ out of $\textit{n}$ System M. Ahsanullah, Abdulhamid A. Alzaid and B. M. Golam Kibria Abstract. We consider a system with $n$ independent and identically distributed components. The system fails if $k$ out of the $n$ components fails. We study various distributional properties of the mean life times of the $n-k$ remaining components after the failure of the $k$ components. Based on these distributional properties some characterizations of distributions are given. 2010 Mathematics Subject Classification: 62N05, 62E10 Full text: PDF