Modified intervened Poisson distribution

Authors

  • C. Satheesh Kumar University of Kerala, Trivandrum
  • D. S. Shibu University College, Trivandrum

DOI:

https://doi.org/10.6092/issn.1973-2201/3629

Abstract

In this paper, we develop modified intervened Poisson distribution (MIPD) and consider some of its properties. Some real life data sets are given here to illustrate MIPD is the best fit among intervened generalized Poisson distribution (IGPD), intervened Poisson distribution (IPD) and Positive Poisson distribution (PPD).

References

A.C. COHEN (1960), Estimating parameters in a conditional Poisson distribution, “Biometrics”, 16, pp. 203-211.

P.C. CONSUL (1989), Generalized Poisson distribution: properties and applications, Marcel Dekker, New York.

M. HUANG, K.Y. FUNG (1989), Intervened truncated Poisson distribution, “Sankhya” series 51, pp. 302-310.

M.G. KENDAL (1961), Natural law in science, “Journal of Royal Statistical Society”, series A 124, pp. 1-18.

D.P.M. SCOLLNIK (1995), Bayesian analysis of an intervened Poisson distribution, “Commu-nications in Statistics-Theory & Methods”, 24, pp. 735-754.

D.P.M. SCOLLNIK (1998), On the analysis of the truncated generalized Poisson distribution using a Bayesian method, “Australian Bulletin”, 28, pp. 135-152.

D.P.M. SCOLLNIK (2006), On the intervened generalized Poisson distribution, “Communication in Statistics-Theory & Methods”, 35, pp. 953-963.

R. SHANMUGAM (1985), An intervened Poisson distribution and its medical application, “Biometrics”, 41, pp. 1025-1029.

R. SHANMUGAM (1992), An inferential procedure for the Poisson intervention parameter, “Biometrics”, 48, pp. 559-565.

J. SINGH (1978), A characterization of positive Poisson distribution and its application, “SIAM Journal of Applied Mathematics”, 34, pp. 545-48.

C.B. WILLIAMS (1944), Number of publications written by biologists, “Annals of Eugenics”, 12, pp. 143-146.

Downloads

Published

2011-12-31

How to Cite

Satheesh Kumar, C., & Shibu, D. S. (2011). Modified intervened Poisson distribution. Statistica, 71(4), 489–499. https://doi.org/10.6092/issn.1973-2201/3629

Issue

Section

Articles