The Open Mathematics, Statistics and Probability Journal

2009, 1 : 71-75
Published online 2009 October 21. DOI: 10.2174/1876527000901010071
Publisher ID: TOSPJ-1-71

On Size-Biased Logarithmic Series Distribution and Its Applications

Khurshid Ahmad Mir
Department of Statistics, Govt. College (Boys), Baramulla, Kashmir, India.

ABSTRACT

In this paper, a size-biased logarithmic series distribution (SBLSD), a particular case of the weighted logarithmic series distribution, taking the weights as the variate values is defined. The moments and recurrence relation of (SBLSD) are obtained. Negative moments and inverse ascending factorial moments of the size-biased logarithmic series distribution have been derived in terms of hyper-geometric function. Recurrence relations for these moments have also been derived using properties of hyper-geometric functions. Different estimation methods for the parameter of the model are discussed. R- Software has been used for making a comparison among the three different estimation methods and with the logarithmic series distribution.