Open Access Open Access  Restricted Access Subscription Access

The discrete Poisson-Ishita Distribution

Kamlesh Kumar Shukla, Rama Shanker

Abstract



In this paper, a study on Poisson-Ishita distribution (PID), a Poisson mixture of Ishita distribution introduced, has been carried out. The expression for th factorial moment about origin has been derived. The expressions for coefficient of variation, skewness, kurtosis and index of dispersion have been obtained and their behaviors have been studied graphically. Its hazard rate, over-dispersion and generating functions have been discussed. The method of moments and the method of maximum likelihood estimation for estimating parameter have been discussed. The simulation study has been presented in order to illustrate the performance of developed methodology. The goodness of fit of the proposed distribution has been explained with three count datasets and the fit has been found quite satisfactory over Poisson distribution (PD), Poisson-Lindley distribution (PLD) and Poisson-Akash distribution (PAD).

Keywords


Ishita distribution, Moments based measures, Properties, Estimation of parameter, Goodness of fit

Full Text:

PDF


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information. Also: DOI is paid service which provided by a third party. We never mentioned that we go for this for our any journal. However, journal have no objection if author go directly for this paid DOI service.