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A new compact proof is given for the main properties of a previously defined and studied probabilistic—informational concept, the functional of opacity of a statistics with respect to the underlying probability law.

The association of the principle of Jaynes, with a new probabilistic‐informational concept — the opacity functional — conceived by Magur‐Schächter, is said to lead to an abstract framework where it is possible to put a measure on the distance between an instantaneous evolving state and the corresponding equilibrium state. An illustration is given for the Helmholtz thermodynamic potential of a perfect gas, which reveals the significance of such a distance. The treatment of this particular case suggests the possibility of a new and general method for a probabilistic‐informational approach developed by the ideas of Onsager, Prigogine, Jaynes, Truesdell and Tykodi.

In this paper, we propose to analyse the incidence of the limitations inherent to a process of observation τ on the entropy of a statistical continuous set of events observed by means of τ. We present here a study of a particular case when τ is submitted only to fluctuations (the sensitivity and the accuracy of the apparatus are assumed to be perfect). In this case, τ is characterized by its “reliability limit”.