  The pathway model of Mathai (2005) is shown to be inferable from the
maximization of a certain generalized entropy measure. This entropy is a
variant of the generalized entropy of order 'alpha', considered in Mathai and
Rathie (1975), and it is also associated with Shannon, Boltzmann-Gibbs, Renyi,
Tsallis, and Havrda-Charvat entropies. The generalized entropy measure
introduced here is also shown to haveinteresting statistical properties and it
can be given probabilistic interpretations in terms of inaccuracy measure,
expected value, and information content in a scheme. Particular cases of the
pathway model are shown to be Tsallis statistics (Tsallis, 1988) and
superstatistics introduced by Beck and Cohen (2003). The pathway model's
connection to fractional calculus is illustrated by considering a fractional
reaction equation.
