Generalized Tolerance Limits

J. H. B. Kemperman

doi:10.1214/aoms/1177728356

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Home > Journals > Ann. Math. Statist. > Volume 27 > Issue 1 > Article

March, 1956 Generalized Tolerance Limits

J. H. B. Kemperman

Ann. Math. Statist. 27(1): 180-186 (March, 1956). DOI: 10.1214/aoms/1177728356

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Abstract

A method for constructing tolerance limits due to Fraser [8] is generalized by allowing that each step of the construction may depend not only on the blocks previously formed but also on all the known boundary observations and, moreover, on certain sets of indices. Furthermore, Tukey's [5] lexicographical ordering is replaced by a more general type of ordering.