  The log-Lindley distribution was recently introduced in the literature as a
viable alternative to the Beta distribution. This distribution has a simple
structure and possesses useful theoretical properties relevant in insurance.
Classical estimation methods have been well studied. We introduce estimation of
parameters from Bayesian point of view for this distribution. Explicit
structure of stress-strength reliability and its inference under both classical
and Bayesian set-up is addressed. Extensive simulation studies show marked
improvement with Bayesian approach over classical given reasonable prior
information. An application of a useful metric of discrepancy derived from
stress-strength reliability is considered and computed for two categories of
firm with respect to a certain financial indicator.
