In this paper, a size-biased logarithmic series distribution (SBLSD), a particular case of the weighted logarithmicseries 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 seriesdistribution have been derived in terms of hyper-geometric function. Recurrence relations for these moments have alsobeen derived using properties of hyper-geometric functions. Different estimation methods for the parameter of the modelare discussed. R- Software has been used for making a comparison among the three different estimation methods and withthe logarithmic series distribution.
展开▼
