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Books > Science & Mathematics > Mathematics > Algebra
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Novelty, Information and Surprise (Hardcover, 2012 ed.)
Loot Price: R1,545
Discovery Miles 15 450
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Novelty, Information and Surprise (Hardcover, 2012 ed.)
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The book offers a new approach to information theory that is more
general then the classical approach by Shannon. The classical
definition of information is given for an alphabet of symbols or
for a set of mutually exclusive propositions (a partition of the
probability space ) with corresponding probabilities adding up to
1. The new definition is given for an arbitrary cover of , i.e. for
a set of possibly overlapping propositions. The generalized
information concept is called novelty and it is accompanied by two
new concepts derived from it, designated as information and
surprise, which describe "opposite" versions of novelty,
information being related more to classical information theory and
surprise being related more to the classical concept of statistical
significance. In the discussion of these three concepts and their
interrelations several properties or classes of covers are defined,
which turn out to be lattices. The book also presents applications
of these new concepts, mostly in statistics and in neuroscience.
General
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