ADK ENTROPY AND ADK ENTROPY RATE IN IRREDUCIBLE- APERIODIC MARKOV CHAIN AND GAUSSIAN PROCESSES

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KHODABIN MORTEZA

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

Paper Information

Journal: Journal of the Iranian Statistical Society Year:2010 | Volume:9 | Issue:2 Page(s): 115-126

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Information Journal Paper

Title

ADK ENTROPY AND ADK ENTROPY RATE IN IRREDUCIBLE- APERIODIC MARKOV CHAIN AND GAUSSIAN PROCESSES

Author(s)

KHODABIN MORTEZA | Issue Writer Certificate

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

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 defined and is used for deriving the entropy rate of stationary GAUSSIAN PROCESSes and an irreducible- aperiodic MARKOV CHAIN.

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APA: Copy

KHODABIN, MORTEZA. (2010). ADK ENTROPY AND ADK ENTROPY RATE IN IRREDUCIBLE- APERIODIC MARKOV CHAIN AND GAUSSIAN PROCESSES. JOURNAL OF THE IRANIAN STATISTICAL SOCIETY (JIRSS), 9(2), 115-126. SID. https://sid.ir/paper/575439/en

Vancouver: Copy

KHODABIN MORTEZA. ADK ENTROPY AND ADK ENTROPY RATE IN IRREDUCIBLE- APERIODIC MARKOV CHAIN AND GAUSSIAN PROCESSES. JOURNAL OF THE IRANIAN STATISTICAL SOCIETY (JIRSS)[Internet]. 2010;9(2):115-126. Available from: https://sid.ir/paper/575439/en

IEEE: Copy

MORTEZA KHODABIN, “ADK ENTROPY AND ADK ENTROPY RATE IN IRREDUCIBLE- APERIODIC MARKOV CHAIN AND GAUSSIAN PROCESSES,” JOURNAL OF THE IRANIAN STATISTICAL SOCIETY (JIRSS), vol. 9, no. 2, pp. 115–126, 2010, [Online]. Available: https://sid.ir/paper/575439/en

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