ESTIMATION OF RATIO OF POPULATION VARIANCES IN ABSENCE AND PRESENCE OF NON - RESPONSE

The present investigation deals with the problem of estimation of ratio of population variances under two different realistic situations of complete response and random non-response in the sampled units. Using information on an auxiliary variable, two classes of Jack-Knife estimators of ratio of population variances are proposed separately for these two situations and it is shown that the proposed classes of Jack-Knife estimators are unbiased up to the first order of approximations. Properties of the proposed classes of estimators have been studied and their respective optimality conditions are discussed. Proposed classes of estimators are empirically compared with the usual sample estimator of ratio of population variances under the similar realistic situations and their performances have been demonstrated through numerical illustration and graphical interpretation which are followed by suitable recommendations.