Electronic Journal of Applied Statistical Analysis
EJASA, Electron. J. App. Stat. Anal. Vol. 3, Issue 2 (2010), 85 – 91
ISSN 2070-5948, DOI 10.1285/i20705948v3n2p85
© 2008 Università del Salento – SIBA http://siba-ese.unile.it/index.php/ejasa/index
85
ON ESTIMATION OF GEETA DISTRIBUTION AND ITS APPLICATION
TO THE STUDY OF MICROBES
Khurshid Ahmad Mir
*
Department of Statistics, Govt Degree College Bemina Srinagar,Kashmir, India
Received 02 November 2009; Accepted 10 April 2010
Available online 14 October 2010
Abstract: In this paper, different estimation methods for the parameters of the
Geeta distribution (GET) are discussed. The model is applied to study
microorganisms based on difference-differential equations leading to Geeta
distribution. R- Software has been used for making a comparison among the three
different estimation methods.
Keywords: Geeta distribution, Bayes’ estimator, R-Software.
1. Introduction
Consul (1990a) defined the Geeta distribution over the set of all positive integers with the
probability mass function as:
1
1
1
[ ] (1 )
1
x x x
x
PX x
x x
; x=1,2… (1)
where
1
1
and 0 1 .
The Geeta distribution has a maximum at x=1 and is L-shaped for all values of and . It may
have a short tail or a long tail depending upon the values of and . Its mean and variance are
given by:
1
(1 )(1 )
(2)
*
Email: khrshdmir@yahoo.com