Rejoinder to ‘Ahmed, M.S. (1998). A note on regression-type estimators using multiple auxiliary information.’
In the estimators t3 , t4 , t5 of Mukerjee, Rao & Vijayan (1987), byx and byz are partial regression coefficients of y on x and z, respectively, based on the smaller sample. With the above interpretation of byx and byz 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 bxz 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 byx and byz 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).
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Document Type: Miscellaneous
Affiliations: Indian Statistical Institute, Calcutta
Publication date: June 1, 2000