  We discuss two families of two-parameter entropies and divergences, derived
from the standard R\'enyi and Tsallis entropies and divergences. These
divergences and entropies are found as divergences or entropies of escort
distributions. Exploiting the nonnegativity of the divergences, we derive the
expression of the canonical distribution associated to the new entropies and a
observable given as an escort-mean value. We show that this canonical
distribution extends, and smoothly connects, the results obtained in
nonextensive thermodynamics for the standard and generalized mean value
constraints.
