Harvard SEAS. – Information Theory. Gambling and Data Compression. ∗. 1 Gambling. 1.1 Horse Race. Definition The wealth relative S(X) = b(X)o(X) is.
with causal side information and show that Massey's directed information rected information in gambling, portfolio theory and data compression,”. Jan.
Gambling and Information Theory. Paul Tune (School of Mathematical Sciences, University of Adelaide). Information Theory. September.
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no surprise, therefore, that information theory has applications to games of chance. Create a book Download as PDF Printable version. For example, one might say that "the number of states equals two to the number of bits" i. Hence there are N bits of surprisal in landing all heads on one's first toss of N coins. This is the average Kullback—Leibler divergenceor information gainof the a posteriori probability distribution of X given the value of Y relative to the a priori distribution, or stated odds, on X. Share this content on Twitter.