  In this article, we have considered one parameter polynomial exponential
(OPPE) distribution. The exponential, Lindley, length-biased Lindley and
Sujatha distribution are particular cases. Two estimators viz, MLE and UMVUE of
the PDF and the CDF of the OPPE distribution have been discussed. The
estimation issue of the length-biased Lindley and Sujatha distribution have
been considered in detail. The estimators have been compared in MSE sense.
Monte Carlo simulations and real data analysis are performed to compare the
performances of the proposed methods of estimation.
