Frieden and Soffer conjectured some years ago [Phys. Rev. E 52, 2274 (1995)] the existence of a “Fisher temperature” $T_F$ that would play, with regards to Fisher’s information measure $I$, the same role that the ordinary temperature $T$ plays in relation to Shannon’s logarithmic measure. Here we exhibit the existence of reciprocity relations between $T_F$ and $T$ and provide an interpretation with reference to the meaning of $T_F$ for the canonical ensemble.

• Received 2 July 2004

DOI:https://doi.org/10.1103/PhysRevE.71.047102