Dyadic distribution

A dyadic (or 2-adic) distribution is a specific type of discrete probability distribution that is of some theoretical importance in data compression.

Definition

A dyadic distribution is a probability distribution whose probability mass function is

:f(i) = 2^{-x_i}

where x_i is some whole number.

It is possible to find a binary code defined on this distribution, which has an average code length that is equal to the entropy. Cover, T.M., Joy A. Thomas, J.A. (2006) Elements of information theory, Wiley. {{ISBN|0-471-24195-4}}

References

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  • Cover, T.M., Joy A. Thomas, J.A. (2006) Elements of information theory, Wiley. {{ISBN|0-471-24195-4}}

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Category:Types of probability distributions

Category:Data compression

Category:Discrete distributions