Rejoinder to 'Ahmed, M.S. (1998). A note on regression-type estimators using multiple auxiliary information

Abstract

In the estimators t₃ , t₄ , t₅ of Mukerjee, Rao & Vijayan (1987), b_yx and b_yz are partial regression coefficients of y on x and z, respectively, based on the smaller sample. With the above interpretation of b_yx and b_yz in t₃, t₄, t₅, all the calculations in Mukerjee at al.(1987) are correct. In this connection, we also wish to make it explicit that b_xz in t₅ is an ordinary and not a partial regression coefficient. The 'corrected' MSEs of t₃, t₄, t₅, as given in Ahmed (1998 Section 3) are computed assuming that our b_yx and b_yz are ordinary and not partial regression coefficients. Indeed, we had no intention of giving estimators using the corresponding ordinary regression coefficients which would lead to estimators inferior to those given by Kiregyera (1984). We accept responsibility for any notational confusion created by us and express regret to readers who have been confused by our notation. Finally, in consideration of the above, it may be noted that Tripathi & Ahmed's (1995) estimator t₀, quoted also in Ahmed (1998), is no better than t₅ of Mukerjee at al.(1987).