Titlebook: Introductory Statistics and Random Phenomena; Uncertainty, Complex Manfred Denker,Wojbor Woyczynski Textbook 2017 Springer International Pu

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978-3-319-66151-3Springer International Publishing AG 2017

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Data Representation and Compressiones in a compact and digestible form which, for instance, would permit an easy comparison of different data sets, discern trends, facilitate management and engineering decisions, or predict future behavior. This is what we call the problem of data representation and compression.

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Analytic Representation of Random Experimental Data with smaller and smaller bin size, often seem to smooth out and assume a form that is almost begging to be compressed into a single analytic formula. These various idealized limit relative frequency d.f.s, called . and the related . will be studied in this chap_ ter. We will also learn how to simul

紋章

Algorithmic Complexity and Random Stnngs and computational complexity. Although the discussion illuminates the philosophical underpinnings of the concept of randomness for a concrete string of data, the conclusions are sobering: perfectly random strings cannot be produced by any finite algorithms (read, computers). A practical way out of

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