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Using the notation of this section, let U be the number of observed values of X in the smallest d items of the combined sample of m + n items.

Argue that

Pr (U = u) = ( )(d:u)/( m ;"). u = 0, 1, . . . , m.

The statistic U could be used to test the equality of the (lOOp)th percentiles, where (m + n)p = d, of the distributions of X and Y.

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  • Category:- Statistics and Probability
  • Reference No.:- M91702168

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