Size Biased Lomax Distribution

Abstract

Weighted Distributions have very significant place in the mathematical statistics, particularly in the case of Unequal Probability Sampling. Size Biased Distribution is a particular case of Weighted Probability Distribution. In this paper, Size Biased form of Lomax Probability Distribution is introduced. Some basic properties of Size Biased Lomax (SBL) are derived. Reliability measures including the Survival Analysis, Hazard Rate and Vitality functions are computed. Measures of entropy using Shannon’s and Renyi’s methods are also found. Estimation of its parameters is made through method of Maximum Likelihood and Method of Moments. Lomax Distribution has applications in various fields including size of cities. In this paper, it is showed that SBL fits the data on size of cities of Pakistan in km2 .