  In this note, we investigate, under what circumstances, a warm standby system
(formed by n active components and m warm standby components) has more number
of surviving warm standby components than another similar system at the time of
$k$th failure of the active component of the respective system. The number of
such components being random, the comparison has been done with respect to
different stochastic orders, viz. usual stochastic order, hazard rate and
reversed hazard rate orders, and likelihood ratio order.
