# Adaptive Designs: Selected Proceedings of a 1992 Joint AMS-IMS-SIAM Summer Conference

IMS, 1995 - Mathematics - 288 pages

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Page 217 - Thus A - Et is the ordinary i-th component of A. More generally, if B is a unit vector, not necessarily one of the Eh then we have simply c = AB because B - B = 1 by definition of a unit vector. Example 6. Let A = (1, 2, -3) and B = (1, 1, 2). Then the component...
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Page 139 - F < 1. We further assume that it is desirable to 'center' the distribution of treatments around the unknown quantile. This is accomplished by sequentially assigning treatment levels to subjects using upand-down rules, that is, rules by which the treatment used in the next trial is restricted to be one level higher, one level lower, or the same as it is for the current trial. We describe two such rules that asymptotically result in a unimodal distribution of treatment assignments with mode as close...