The present paper introduces a discrete compound distribution model, which is obtained by compounding size biased Consul Distribution with generalized beta distribution. The proposed distribution has several properties such as it can be nested to different compound distributions on specific parameter setting. Factorial moments and parameter estimation through maximum likelihood estimation and method of moment have been disused. The potentiality of the proposed model has been tested by chi-square goodness of fit test by modeling the real world count data sets.
Digital Object Identifier (DOI)
Ahmad, Zahoor; Rashid, Adil; and R. Jan, T.
"A New Discrete Compound Distribution with Application,"
Journal of Statistics Applications & Probability: Vol. 6
, Article 18.
Available at: https://dc.naturalspublishing.com/jsap/vol6/iss1/18