Information gain within nonextensive thermostatistics

We discuss the information theoretical foundations of the Kullback informat ion gain, recently generalized within a nonextensive thermostatistical form alism. General properties are studied and, in particular, a consistent test for measuring the degree of correlation between random variables is propos ed. In addition, minimum entropy distributions are discussed and the H-theo rem is proved within the generalized context. (C) 1998 American Institute o f Physics. [S0022-2488(98)02712-1].