  This paper proposes two estimators of the joint entropy of the Type-II
censored data. Consistency of both estimators is proved. Simulation results
show that the second one shows less bias and root of mean square error (RMSE)
than leading estimator. Also, two goodness of fit test statistics based on the
Kullback-Leibler information with the Type-II censored data are established and
their performances with the leading test statistics are compared. We provide a
Monte Carlo simulation study which shows that the test statistics
$T^{(1)}_{m,n,r}$ and $T^{(2)}_{m,n,r}$ show better powers than leading test
statistics against the alternatives with monotone decreasing and monotone
increasing hazard functions, respectively.
