The Lomax-Lindley distribution: properties and applications to lifetime data

This paper introduces a new three-parameter distribution which is obtained by combining the Lomax and Lindley distributions in serial system called Lomax-Lindley distribution. The quite flexible to model lifetime data. provides simple form for hazard rate function can be increasing, decreasing, bathtub-shaped unimodal different choices of parameter values. Some statistical properties such as quantiles, moments, order statistics, Renyi entropy mean deviations are discussed. maximum likelihood estimators its unknown parameters approximate confidence intervals provided. A Monte Carlo simulation study conducted investigate performance their corresponding intervals. Finally, two real data sets having functions analyzed it shown that proposed provide better fit than other both