Two divergence-rate counterexamples (Q685736)
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scientific article; zbMATH DE number 423614
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two divergence-rate counterexamples |
scientific article; zbMATH DE number 423614 |
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Two divergence-rate counterexamples (English)
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3 October 1993
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The paper describes two examples of pairs of ergodic processes \(P\) and \(Q\) (with \(Q\) being a \(B\)-process and \(P\) the binary symmetric coin- tossing process), with bad divergence-rate properties. More precisely, in the first example, the lower-divergence rate of \(P\) with respect to \(Q\) is 0, whereas the upper-divergence rate is \(\infty\). In the second example, the upper-divergence rate is 0, yet \(P\neq Q\).
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ergodic process
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Markov chain
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binary symmetric coin-tossing process
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divergence-rate properties
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