EXTENSION OF THE ONE PARAMETER LINEAR EXPONENTIAL DISTRIBUTION WITH APPLICATIONS TO THE ANALYSIS OF EARNING PER SHARE

Length-biased distributions are special cases of weighted distributions. We used this idea in this paper to propose a generalization of a one-parameter linear exponential distribution. The various characteristics of the recommended distribution are deduced and explored in detail. Numerical studies show that it is right-skewed and it is a leptokurtic distribution. Additionally, the mean waiting time and residual life functions are studied. To estimate the distribution's parameters, six methods of estimation are employed. A simulation study indicates that the resulting estimators are approximately unbiased and consistent. The practical utility of the distribution is demonstrated using three real-world nancial data sets, representing earnings per share from the nancial, industrial, and service sectors listed on the Amman Stock Exchange. They show that the suggested distribution has the best t for these data sets compared to some competence distributions.