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Multivariate regression estimates based on ranks and generalized ranks are proposed. These estimates are based on a transformation and retransformation technique that uses Tyler's (1987) M-estimator of scatter. The proposed estimates are obtained by retransforming the componentwise rank-based estimate due to and a componentwise generalized rank estimate. Asymptotic properties of the estimates are established under some regularity conditions. It is shown that both estimates have a multivariatedoi:10.12785/jsap/020201 fatcat:ivbvfatiwjhjzktxu7kfywcpmy