Estimation of the entropy of several exponential distributions is considered. A general inadmissibility result for the scale equivariant estimators is proved. The results are extended to the case of unequal sample sizes. Risk functions of proposed estimators are compared numerically.

In the present communication, the conditional Tsallis and Kapur entropies have been studied for their monotonic behaviour. Further, the results on the convolutions of Tsallis and Renyi entropies have been provided.