In the present paper, a size-biased Poisson-Ishita distribution (SBPID) has been proposed, which is the size- biasing of the Poisson-Ishita distribution (PID) introduced by Shukla and Shanker (2019). The moments about origin and moments about mean have been obtained and hence expressions for coefficient of variation, skewness, kurtosis and index of dispersion have been derived and their behavior explained graphically. The estimation of its parameter has been discussed using method of moments and maximum likelihood estimation. The applications of SBPID have been explained through real datasets relating to thunderstorm events. The goodness of fit of SBPID has been found satisfactory over size- biased Poisson distribution (SBPD) and size-biased Poisson-Lindley distribution (SBPLD).
Digital Object Identifier (DOI)
Kumar Shukla, Kamlesh and Shanker, Rama
"Size- biased Poisson-Ishita Distribution and its Applications to Thunderstorm Events,"
Journal of Statistics Applications & Probability: Vol. 10
, Article 11.
Available at: https://dc.naturalspublishing.com/jsap/vol10/iss1/11