Titlebook: Bayesian Inference; Data Evaluation and Hanns Ludwig Harney Book 2016Latest edition Springer International Publishing Switzerland 2016 Bay

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978-3-319-82403-1Springer International Publishing Switzerland 2016

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Knowledge and Logic,r vague. Science never reaches exact results. Mathematics provides proofs but it is devoid of reality. The present book shows in mathematical terms how to express uncertain experience in scientific statements.

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,Bayes’ Theorem,densities and functions are discussed in Sect. .. A symmetry argument can define the prior. This is described in Sects. . and .. Prior distributions are not necessarily proper. In Sect. ., we comment on improper distributions because it is unusual to admit any of them. In Sect. ., we discuss the inf

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Probable and Improbable Data,s of decisions because it allows distinguishing between probable and improbable data. It requires a measure . to be defined in the space of .. Examples are discussed in Sect. .. The construction of the Bayesian interval is described in Sect. .. In Sect. . we formulate a condition for the existence o

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