This is the first comprehensive book on information geometry, written by the founder of the
field. It begins with an elementary introduction to dualistic geometry and proceeds to a wide …

This is the first part of a two-part paper on the information theoretic study of biometric security
systems. In this paper, the design of single-use biometric security systems is analyzed from …

The relation between the Shannon entropy and variational distance, two fundamental and
frequently-used quantities in information theory, is studied in this paper by means of certain …

Fano's inequality relates the error probability of guessing a finitely-valued random variable X
given another random variable Y and the conditional entropy of X given Y. It is not …

This paper derives new bounds on the difference of the entropies of two discrete random
variables in terms of the local and total variation distances between their probability mass …

Directed information or its variants are utilized extensively in the characterization of the
capacity of channels with memory and feedback, nonanticipative lossy data compression …

Rényi's information measures-the Rényi information, mean, capacity, radius, and center-are
analyzed relying on the elementary properties of the Rényi divergence and the power …

In this paper, some general properties of Shannon information measures are investigated
over sets of probability distributions with restricted marginals. Certain optimization problems …

Strong typicality, which is more powerful for theorem proving than weak typicality, can be
applied to finite alphabets only, while weak typicality can be applied to countable alphabets …

The informational energy of Onicescu is a positive quantity that measures the amount of
uncertainty of a random variable. However, contrary to Shannon's entropy, the informational …