The Distribution of the Quotient of Maximum Values in Samples from a Rectangular Distribution

Vedula N. Murty · Journal of the American Statistical Association · 1955

When there is a priori knowledge that two samples have been drawn from rectangular populations with the same lower bounds, the hypothesis that both samples have been drawn from the same population can be tested by means of the quotient of the maximum values. The distribution of this statistic is derived, and its properties studied. Explicit expressions for the power function of the test are given, and the table of 5% values of the quotient is given for sample sizes up to ten. A numerical example is given.

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