We consider a permutation method for testing whether observations given in their natural pairing exhibit an unusual level of similarity in situations where any two observations may be similar at some unknown baseline level. Under a null hypotheses where there is no distinguished pairing of the observations, a normal approximation with explicit bounds and rates is presented for determining approximate critical test levels.

A permutation test for matching and its asymptotic distribution / L., Goldstein; Rinott, Joseph. - In: METRON. - ISSN 0026-1424. - 61:3(2004), pp. 375-388.

### A permutation test for matching and its asymptotic distribution

#### Abstract

We consider a permutation method for testing whether observations given in their natural pairing exhibit an unusual level of similarity in situations where any two observations may be similar at some unknown baseline level. Under a null hypotheses where there is no distinguished pairing of the observations, a normal approximation with explicit bounds and rates is presented for determining approximate critical test levels.
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Similarity, Normal Approximation, Stein’s Method
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Utilizza questo identificativo per citare o creare un link a questo documento: `http://hdl.handle.net/11385/5468`