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A Size-Biased Poisson-Shanker Distribution and Its Applications

机译:基于大小的泊松-香克尔分布及其应用

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In this paper, a size-biased Poisson-Shanker distribution (SBPSD) has been obtained by size-biasing the Poisson-Shanker distribution (PSD) introduced by Shanker (2016). Its raw moments and central moments have been obtained and hence expressions for coefficient of variation (C.V.), skewness, kurtosis and index of dispersion have also been given. The method of maximum likelihood and the method of moments have been discussed for estimating its parameter. The goodness of fit of SBPSD has been discussed with two real data sets and the fit shows quite satisfactory fit over size-biased Poisson distribution (SBPD) and size-biased Poisson-Lindley distribution (SBPLD).
机译:本文通过对Shanker(2016)引入的Poisson-Shanker分布(PSD)进行尺寸偏置获得了尺寸偏置的Poisson-Shanker分布(SBPSD)。已经获得了它的原始力矩和中心力矩,因此也给出了变化系数(C.V.),偏度,峰度和色散指数的表达式。为了估计其参数,讨论了最大似然法和矩量法。 SBPSD的拟合优度已通过两个真实数据集进行了讨论,并且拟合显示出在大小偏向的Poisson分布(SBPD)和大小偏向的Poisson-Lindley分布(SBPLD)上令人满意的拟合。

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