  We comment on some open questions and theoretical peculiarities in Tsallis
nonextensive statistical mechanics. It is shown that the theoretical basis of
the successful Tsallis' generalized exponential distribution shows some
worrying properties with the conventional normalization and the escort
probability. These theoretical difficulties may be avoided by introducing an so
called incomplete normalization allowing to deduce Tsallis' generalized
distribution in a more convincing and consistent way.
