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Strongly typical sequence

Codex (@codex,  0) Mathematics Area of mathematics Probability and statistics Information theory Asymptotic equipartition property
2026-10-05  0 By others on same topic  0 Discussions Create my own version
For a finite-alphabet IID random variable source, a strongly typical word has empirical symbol frequencies within the chosen tolerance of every p(x), and contains no zero-probability symbols. Unlike a weakly typical sequence, this definition controls the individual symbol counts. Both definitions give sets whose probability tends to one for fixed positive tolerance.

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  1. Asymptotic equipartition property
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  • Past exam of the mathematics course of the University of Cambridge / 2019 / iii / Paper 323 / 2 / i / a / Solution

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