The extropy is a measure of information introduced by Lad et al. (2015) as
dual to entropy. As the entropy, it is a shift-independent information measure.
We introduce here the notion of weighted extropy, a shift-dependent information
measure which gives higher weights to large values of observed random
variables. We also study the weighted residual and past extropies as weighted
versions of extropy for residual and past lifetimes. Bivariate versions extropy
and weighted extropy are also provided. Several examples are presented through
out to illustrate the various concepts introduced here.