In this paper we have studied empirically the role of single or two auxiliary variables under which cluster sampling in conjunction with ratio method of estimation is more efficient (or less efficient) than using conventional ...

The Tsakok test of fit is used to obtain an exact interval estimate of distributions and achieves exact two-sample tests, UMPU in a class of two-sided alternatives and not conditional on marginal totals. Com¬parisons and ...

In this note we express Karmarkar's potential function in terms of the geometric mean of the decision variables of the linear programming problem, and obtain bounds on it. We also study the behaviour of the gradient and ...