C. JAIN, On some interesting properties of the generalized Poisson distribution, Biomerrik. 2. 15 (1973), H.7, 495-500.CONSUL, P. C.; JAIN, G. C. On some interesting properties of the generalized poisson distribution. Biometrische Zeitschrift, WILEY-VCH Verlag, v. 15, n. 7, p. ...
A table is presented of properties of the Poisson distribution which have been found useful in working with a variety of operational models. In particular the properties proved useful to the authors in obtaining explicit expressions for inventory levels, backorders, and stockout costs under various ...
Generalized Poisson Distribution: Properties and ApplicationsConsul PCPresents 28 bar diagrams that illustrate the versatility of the generalized Poisson model and discusses stochastic processes leading to the generalized Poisson distribution. Examines theoretical properties that vary in difficulty, includes ...
A new four-parameter distribution called the exponentiated power LindleyPoisson distribution which is an extension of the power Lindley and LindleyPoisson distributions is introduced. Statistical properties of the distribution including the shapes of the density and hazard functions, moments, entropy ...
How the distribution is used Suppose that an event can occur several times within a given unit of time. When the total number of occurrences of the event is unknown, we can think of it as a random variable. This random variable has a Poisson distribution if the time elapsed between two ...
Multivariate compound Poisson distribution is obtained by m p-independent Poisson distributions with a mixing distribution. marginal, conditional probability mass function and moments of comp Poisson distribution when the mixing parameter has a gamma distribu are obtained. The parameters of the mixed distr...
The exponential distribution is strictly related to the Poisson distribution. Suppose that an event can occur more than once; the time elapsed between two successive occurrences is exponentially distributed and independent of previous occurrences.
On the basis of integral representations of Poisson and binomial distribution functions via complete and incomplete Euler \\Gamma- and B-functions, we introduce and discuss continuous counterparts of the Poisson and binomial distributions. The former turns out to be closely related to classical ...
We introduce a new family of continuous distributions called the Poisson-exponential-G family based on the Poisson-exponential distribution of Cancho et al. (2011). The shapes of the density and hazard functions corresponding to new family are studied. Two sub-models are also discussed. We study...
Some properties of QNBD, including the upper tail behavior and limiting distributions, are investigated. It is shown that the moments do not exist in some situations and the limiting distribution of QNBD is the generalized Poisson distribution under certain conditions. A zero-inflated QNBD is ...