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Computation of entropy for special cases. Entropy of stochastic processes

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Abstract

In the present chapter, we set out the methods for computation of entropy of many random variables or of a stochastic process in discrete and continuous time.

From a fundamental and practical points of view, of particular interest are the stationary stochastic processes and their information-theoretic characteristics, specifically their entropy. Such processes are relatively simple objects, particularly a discrete process, i.e. a stationary process with discrete states and running in discrete time. Therefore, this process is a very good example for demonstrating the basic points of the theory, and so we shall start from its presentation.

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Belavkin, R.V., Pardalos, P.M., Principe, J.C., Stratonovich, R.L. (2020). Computation of entropy for special cases. Entropy of stochastic processes. In: Belavkin, R., Pardalos, P., Principe, J. (eds) Theory of Information and its Value. Springer, Cham. https://doi.org/10.1007/978-3-030-22833-0_5

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