In this paper we propose a complete probabilistic theory of measurement. This theory includes a probabilistic representation for order, interval and ratio scales and a probabilistic 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.
A probabilistic theory of measurement
ROSSI, GIOVANNI BATTISTA
2006-01-01
Abstract
In this paper we propose a complete probabilistic theory of measurement. This theory includes a probabilistic representation for order, interval and ratio scales and a probabilistic 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.
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