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A sequential triangular test of the null-hypothesis $$\hbox {H}_{0}{:} 0<\rho \le \rho _{0}$$ H 0 : 0 < ρ ≤ ρ 0 is derived, given a two-dimensional vector of normal random variables (x, y). The test is based on an approximate normally distributed test statistic by Fisher’s transformation of the sample correlation coefficient. We show via simulation that for certain requirements...
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