Abstract

A size-biased discrete Akash distribution has been proposed. The raw moments and central moments have been derived and hence expressions for coefficient of variation, skewness, kurtosis and index of dispersion have been given. The estimation of its parameter has been discussed. Four examples of observed real datasets regarding distribution of freely forming group size have been presented to test the goodness of fit of the proposed distribution over size-biased Poisson distribution, size-biased Poisson-Lindley distribution, size-biased Poisson-Akash distribution and size-biased discrete Lindley distribution.

Keywords: Size-biased distribution; Discrete-akash distribution; Moments and moments-based measures; Estimation of parameter; Goodness of fit