Robust slippage rank tests for k location parameters in the presence of gross errors

A robust slippage test problem of k location parameters in the presence of gross errors is formulated from the point of view of Huber's robust test theory. Under an asymptotic model of the robust slippage test problem an asymptotic level α slippage rank test based on k linear rank statistics is constructed by applying majorization methods and its asymptotic minimum power is evaluated by applying weak majorization methods. It is also shown that the slippage rank test is asymptotically unbiased.