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
where 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.
References
Cover, T.M., Joy A. Thomas, J.A. (2006) Elements of information theory, Wiley.