  In this article, bootstrap and Shewhart type process control monitoring
schemes are proposed for the quantiles of generalized Weibull distribution
under hybrid censoring. Monitoring schemes for the quantiles of Weibull,
generalized exponential, Rayleigh, and Burr type $X$ distributions for type I,
type II and hybrid censoring can be obtained as the special cases of the
proposed schemes. The maximum likelihood estimators are derived under hybrid
censoring using EM algorithm and the asymptotic properties of the estimators
are discussed in order to develop the Shewhart type scheme. The in-control
performance of the schemes is examined in a simulation study on the basis of
the average run length for different choices of quantiles, false-alarm rates
and sample sizes. Behavior of the out-of-control performance of the schemes is
studied for several choices of shifts in the parameters of the chosen density
function. The proposed monitoring schemes are illustrated with an example from
healthcare and compared with similar schemes under type I and type II
censoring. The schemes are found to detect out-of-control signals effectively
in terms of frequency and speed both.
