Letters: Rejoinder to ‘Ahmed, M.S. (1998). A note on regression‐type estimators using multiple auxiliary information.’

In the estimators t 3 ,t 4 ,t 5 of Mukerjee, Rao & Vijayan (1987),b y x andb y z are partial regression coefficients ofy onx andz , respectively, based on the smaller sample. With the above interpretation ofb y x andb y z int 3 ,t 4 ,t 5 , all the calculations in Mukerjee at al. (1987) are correct. In this connection, we also wish to make it explicit thatb x z int 5 is an ordinary and not a partial regression coefficient. The ‘corrected’ MSEs oft 3 ,t 4 ,t 5 , as given in Ahmed (1998 Section 3) are computed assuming that ourb y x andb y z 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) estimatort 0 , quoted also in Ahmed (1998), is no better thant 5 of Mukerjee at al. (1987).