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001 91222
005 20231026103817.0
010 _a978-3-662-65875-8
_dcompra
090 _a91222
100 _a20231023d2022 k||y0pory50 ba
101 0 _aeng
102 _aDE
200 1 _aNovelty, information and surprise
_bDocumento eletrónico
_fby Günther Palm
205 _a2nd ed.
210 _aBerlin, Heidelberg
_cSpringer Berlin Heidelberg
_cSpringer
_d2022
215 _aXX, 293 p.
_cil.
225 2 _aInformation Science and Statistics
303 _aThis revised edition offers an approach to information theory that is more general than the classical approach of Shannon. Classically, information is defined for an alphabet of symbols or for a set of mutually exclusive propositions (a partition of the probability space Ω) with corresponding probabilities adding up to 1. The new definition is given for an arbitrary cover of Ω, i.e. for a set of possibly overlapping propositions. The generalized information concept is called novelty and it is accompanied by two 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 concepts, mostly in statistics and in neuroscience.
606 _aStatistics 
606 _aBiomathematics
606 _aBiometry
606 _aPattern recognition systems
680 _aQA276-280
700 1 _aPalm
_bGünther
801 0 _aPT
_gRPC
856 4 _uhttps://doi.org/10.1007/978-3-662-65875-8
942 _2lcc
_cF
_n0