05710577

j

05710577 Kundu, Chanchal Nanda, Asok K. Some reliability properties of the inactivity time. Commun. Stat., Theory Methods 39, No. 5, 899-911 (2010). 2010 Taylor \& Francis, Philadelphia, PA EN decreasing reversed hazard rate expected inactivity time fractional moments partial moments

doi:10.1080/03610920902807895

Let $X$ be a random variable with support $(a,b)$, where $-\infty\le a0$, where $(t-X)^+$ denotes the positive part of $t-X$. The authors obtain various conditions under which the $r$\,th moment of the inactivity time, or the $r$\,th order partial moment of the inactivity time, characterizes the distribution of $X$. Some applications to reliability theory are given. Moshe Shaked (Tucson)