Abstract

Through the present paper we develop an order k version of the logarithmic series distribution and derive its probability mass function, mean and variance. We estimate the parameters of this distribution by the method of maximum likelihood and the distribution has been fitted to certain real life data sets. Also, we discuss the generalized likelihood ratio test and Rao’s score test for testing the significance of the additional parameters of the distribution.

Author: C. Satheesh Kumar and A. Riyaz

Received on: December, 2012

Accepted on: August, 2013