The Harris extended Lindley distribution for modeling hydrological data.

We introduce a three-parameter extension of the Lindley distribution, which has as sub-models the Lindley and Marshall-Olkin Lindley distributions. The proposed model turns out to be quite flexible: its probability density function can be decreasing or unimodal and its associated hazard rate may be increasing, decreasing, unimodal or bathtub-shaped. Since this new distribution has a survival function and a hazard rate that can be expressed in closed form, it can readily be simulated and used to analyze censored data. Computable expressions are obtained for certain statistical functions such as its quantile function, ordinary and incomplete moments, moment generating function, order statistics and reliability function. The maximum likelihood method is utilized to obtain estimates of the model parameters and a simulation study is carried out to assess the performance of the corresponding maximum likelihood estimators. Two illustrative examples involving hydrological data sets are presented. [ABSTRACT FROM AUTHOR]