884
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

A Generalized Poisson Distribution

, &
Pages 2786-2797 | Received 13 Oct 2010, Accepted 22 Aug 2011, Published online: 09 Jun 2013

References

  • Chandra , N. K. , Roy , D. ( 2001 ). Some results on reversed hazard rate . Probab. Eng. Inform. Sci. 15 : 95 – 102 .
  • Chandra , N. K. , Roy , D. ( 2005 ). Classification of distributions based on reversed hazard rate . Calcutta Statist. Assoc. Bull. 56 : 231 – 249 .
  • Chatterjee , A. , Mukherjee , S. P. ( 2001 ). Equilibrium distribution: its role in reliability theory. In: Balakrishnan, N., Rao, C. R. Eds., Handbook of Statistics, vol. 20 (Advances in Reliability); Elsevier Science B. V, pp. 105–137 .
  • Cohen , A. C. ( 1960 ). An extension of a truncated Poisson distribution. Biometrics 16: 446–450 .
  • Cohen , A. C. ( 1961 ). Estimating the Poisson parameter from samples that are truncated on the right . Technometrics 3 : 433 – 438 .
  • Consul , P. C. , Jain , G. C. ( 1973 ). A Generalization of the Poisson distribution . Technometrics 15 : 791 – 799 .
  • Douglas , J. B. ( 1980 ). Analysis with standard contagious distributions. Burtonsville, MD. International Co-operative Publishing House .
  • Famoye , F. , Consul , P. C. ( 1989 ). Confidence interval estimation in the class of modified power series distributions . Statistics 20 : 141 – 148 .
  • Gupta , R. C. , Tripathi , R. C. ( 1985 ). Modified power series distributions. In: Kotz, S., Johnson, N. L., Read, C. B., Eds., Encyclopedia of Statistical Sciences, vol. 5. New York: Wiley, pp. 593–599 .
  • Johnson , N. L. , Kemp , A. W. , Kotz , S. ( 2005 ). Univariate Discrete Distributions. 3rd ed., Wiley Interscience .
  • Poisson , S. D. ( 1837 ). Recherches sur la Probabilité des Jugements en Matière Criminelle et en Matière Civile, Précédées des Regles Générales du Calcul des Probabilitiés. Bachelier, Imprimeur-Libraire pour les Mathematiques, la Physique, etc.: Paris .
  • Rao , C. R. , Rubin , H. ( 1964 ). On a characterization of the Poisson distribution . Sankhy, Ser. A 26 : 295 – 298 .
  • Roy , D. ( 2002 ). Discretization of continuous distributions with an application to stress-strength reliability . Calcutta Statist. Assoc. Bull. 52 : 297 – 313 .
  • Roy , D. ( 2003 ). The discrete normal distribution . Commun. Statist. Theor. Meth. 32 : 1871 – 1883 .
  • Roy , D. ( 2004 ). Discrete Rayleigh distribution . IEEE Trans. Reliab. 53 : 255 – 260 .
  • Shaked , M. , Shanthikumar , J. G. ( 1994 ). Stochastic Orders and Their Applications. Academic Press, Inc .
  • Thiele , T. N. ( 1889 ). Theory of observations. Ann. Mathemat. Statist. 2:165–308 (Reprinted) .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.