On the asymptotic properties of rank statistics for the two-sample location and scale problem
Mohamed N. Goria, Dana Vorlíčková (1985)
Aplikace matematiky
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The equivalence of the symmetry of density of the distribution of observations and the oddness and evenness of the score-generating functions for the location and the scale problem, respectively, is established at first. Then, it is shown that the linear rank statistics with scores generated by these functions are asymptotically independent under the hypothesis of randomness as well as under contiguous alternatives in the last part of the paper. The linear and quadratic forms of these...