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.
Khodabin,M. (2022). ADK Entropy and ADK Entropy Rate in Irreducible- Aperiodic Markov Chain and Gaussian Processes. Journal of the Iranian Statistical Society, 9(2), 115-126.
MLA
Khodabin,M. . "ADK Entropy and ADK Entropy Rate in Irreducible- Aperiodic Markov Chain and Gaussian Processes", Journal of the Iranian Statistical Society, 9, 2, 2022, 115-126.
HARVARD
Khodabin M. (2022). 'ADK Entropy and ADK Entropy Rate in Irreducible- Aperiodic Markov Chain and Gaussian Processes', Journal of the Iranian Statistical Society, 9(2), pp. 115-126.
CHICAGO
M. Khodabin, "ADK Entropy and ADK Entropy Rate in Irreducible- Aperiodic Markov Chain and Gaussian Processes," Journal of the Iranian Statistical Society, 9 2 (2022): 115-126,
VANCOUVER
Khodabin M. ADK Entropy and ADK Entropy Rate in Irreducible- Aperiodic Markov Chain and Gaussian Processes. JIRSS, 2022; 9(2): 115-126.
Journal of the Iranian Statistical Society