A probabilistic theory of measurement

Measurement 39:34-50 (2006)
Abstract
In this paper we propose a complete probabilistictheory of measurement. This theory includes aprobabilistic representation for order, interval and ratio scales and aprobabilistic description of the measuring system and of the measurement process. For ease of illustration, a deterministic theory of the ideal measurement is presented first, then its probabilistic counterpart is developed. A full set of proofs is included in which the set of objects—which manifest the quantity to be measured—is finite.
Keywords Measurement theory  Representational theory of measurement  Measurement model
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