On additive and non-additive entropies.
Disha Mittal · Czech digital mathematics library · 1975
On Additive and Non-Additive Entropies D. P. MlTTAL Shannon's fundamental concept of entropy has been generalized in different directions.Renyi and Havrda-Charvat have defined 'entropies of order a'.Kerridge generalized the idea of entropy of a single probability distribution to a kind of cross-entropy of a pair of probability distributions called 'inaccuracy' such that Shannon's entropy is the minimum of Kerridge's inaccuracy.In this paper we have investigated functions, the minimum of one of which is Renyi's entropy of order a and that of the other is Vajda's entropy of order a.