On Choosing Optional Distributions in Case of Poor Fit of a Discrete Data to Poisson Distribution Especially at the Tails

The IUP Journal of Computational Mathematics, Vol. II, No. 3, pp. 45-51, September 2009

11 Pages Posted: 8 Sep 2009 Last revised: 8 Jun 2010

See all articles by Dibyojyoti Bhattacharjee

Dibyojyoti Bhattacharjee

Assam University

Kishore K. Das

Gauhati Univesity - Department of Statistics

Abstract

The testing of the goodness of fit of a data to a Poisson distribution through the Poissonness plot is an interesting way to obtain a visual standpoint of the issue. Based on a real data from the said distribution, the paper discusses how the plot can be used to detect the lack of fit of the data, especially at the right tail of the Poisson distribution. In such a case, the generalized Poisson distribution (both Type I and Type II) or compound distribution may be considered as a better option.

Keywords: Poissonness plot, Generalized Poisson distribution, Compound distribution

Suggested Citation

Bhattacharjee, Dibyojyoti and Das, Kishore K., On Choosing Optional Distributions in Case of Poor Fit of a Discrete Data to Poisson Distribution Especially at the Tails. The IUP Journal of Computational Mathematics, Vol. II, No. 3, pp. 45-51, September 2009, Available at SSRN: https://ssrn.com/abstract=1469413

Dibyojyoti Bhattacharjee (Contact Author)

Assam University ( email )

Silchar
Assam
788011
India

Kishore K. Das

Gauhati Univesity - Department of Statistics ( email )

Dept. of Statistics, Gopinath Bordoloi Nagar
Guwahati, Assam 781014
India
913612700288 (Phone)
913612700311 (Fax)

HOME PAGE: http://www.gauhati.ac.in

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