Poisson Area-Biased Lindley Distribution and its Applications on Biological Data

The purpose of this paper is to introduce a discrete distribution named Poisson- area-biased Lindley distribution and its applications on biological data. Poisson area-biased Lindley distribution is introduced with some of its basic properties including moments, coefficient of skewness and kurtosis are discussed. The method of moments and maximum likelihood estimation of the parameters of Poisson area-biased Lindley distribution are investigated. It is found that the parameter estimated by method of moments is positively biased, consistent and asymptotically normal. Application of the model to some biological data sets is compared with Poisson distribution.