Abstract
In this paper, we introduce and study quantile version of the
Shannon entropy function via doubly truncated (interval) lifetime, which includes
the residual and past lifetimes as special case. We aim to study the
use of proposed measure in characterization of distribution functions. Further,
we describe a stochastic order and a weighted distribution based on
this entropy and show their properties. Finally, some results have been obtained
for some distributions such as Uniform, Exponential, Pareto I, Power
function and Govindarajulu. Also by analysing a real data the subject has
been illustrated.
