Inequalities for the Fisher's Information Measures

• Published in: Handbook of Functional Equations Vol. 95; pp. 281 - 313
• Main Authors: Kitsos, Christos P., Toulias, Thomas L.
• Format: Book Chapter
• Language: English
• Published: United States Springer 01.01.2014; Springer New York
• Series: Springer Optimization and Its Applications
• Subjects: Differential equations; Fisher’s entropy type information measure; Generalized normal distribution; Maths for engineers; Optimization; Shannon entropy

The objective of this chapter is to provide a thorough discussion on inequalities related to the entropy measures in connection to the γ-order generalized normal distribution (γ–GND). This three-term (position, scale and shape) family of distributions plays the role of the usual multivariate normal...