Abstract
Let Y_i = f(x_i) + E_i\\ (1\\le i\\le n) with given covariates x_1\\lt x_2\\lt \\cdots\\lt x_n , an unknown regression function f and independent random errors E_i with median zero. It is shown how to apply several linear rank test statistics simultaneously in order to test monotonicity of f in various regions and to identify its local extrema.
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