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词条 Dyadic distribution
释义

  1. Definition

  2. References

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

Definition

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

where n is some positive integer. More generally it is a categorical distribution in which the probability assigned to any label is of the above form

It is possible to find a code defined on this distribution, which has an average code length that is equal to the entropy.{{Citation needed|date=August 2010}}

{{No footnotes|date=July 2010}}

References

  • Cover, T.M., Joy A. Thomas, J.A. (2006) Elements of information theory, Wiley. {{ISBN|0-471-24195-4}}
{{ProbDistributions|discrete-infinite}}{{DEFAULTSORT:Dyadic Distribution}}

3 : Types of probability distributions|Data compression|Discrete distributions

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