Author

• Morteza Khodabin

Abstract

In this paper, the two parameter ADK entropy, as a generalized of Re'nyi entropy, is considered and some properties of it, are investigated. We will see that the ADK entropy for continuous random variables is invariant under a location and is not invariant under a scale transformation of the random variable. Furthermore, the joint ADK entropy, conditional ADK entropy, and chain rule of this entropy is discussed. The ADK entropy rate is dened and is used for deriving the entropy rate of stationary Gaussian processes and an irreducible- aperiodic Markov chain.

Keywords

• ADK entropy
• ADK entropy rate
• gaussian process
• Markov Chain
• Renyi entropy
• Renyi entropy rate
• Shannon Entropy
• Shannon entropy rate
• spectral density function
• stationary process