An Unbiased Estimator for the Parameter of a Homographic Distribution Used in Economy

In a previous study, (Stefanescu, P., Stefanescu, St., 2006) we suggested two possible estimators for the unknown value of the parameter q which characterize a homographic type HG(q) distribution. In the current paper we shall prove that the proposed estimators of q based on the median of the r.v. X, X ~ HG(q) , always over- evaluate the real value of q . For this reason we determined an adjusted multiplicative factor such that the median type estimators to become unbiased. The theoretical results were confirmed experimentally by using a Monte Carlo stochastic simulation technique.