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020 _a9783319607801
024 7 _a10.1007/978-3-319-60780-1
_2doi
040 _bspa
_cES-MaUEC
_dES-MaUEC
050 4 _aQA273
_b.G673 2018 EB
100 1 _aGorban, Igor I.
_eautor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_1http://viaf.org/viaf/90760430/
245 1 0 _aRandomness and Hyper-randomness
_cby Igor I. Gorban.
264 1 _aCham
_bSpringer International Publishing
_c2018
300 _a1 recurso en línea (XXXII, 216 páginas 30 ilustraciones, 23 ilustraciones a color.)
336 _2rdacontent
_aTexto
_btxt
337 _2rdamedia
_aelectrónico
_bc
338 _2rdacarrier
_arecurso electrónico
_bcr
347 _atext file
_bPDF
490 0 _aMathematical Engineering,
_x2192-4732
490 0 _aEngineering (Springer-11647)
505 0 _aPart I The Phenomenon of Statistical Stability -- The Physical Phenomenon of Statistical Stability -- Part II The Probability Theory -- Basis of the Probability Theory -- Stochastic Functions -- Fundamentals of the Mathematical Statistics of the Probability Theory -- Assessment of the Measurement Accuracy on the Basis of Probability Theory -- Part III Experimental Study of the Statistical Stability Phenomenon -- Methodology and Results from Investigation of the Statistical Stability of Processes -- Part IV The Theory of Hyper-Random Phenomena -- Basis of the Theory of Hyper-Random Phenomena -- Hyper-Random Functions -- Fundamentals of the Mathematical Statistics of Hyper-Random Phenomena -- Assessing Measurement Accuracy on the Basis of the Theory of Hyper-Random Phenomena -- Part V The Problem of Adequate Description of the World -- Determinism, Uncertainty, Randomness, And Hyperrandomness -- Epilogue -- References -- Index.
520 3 _aThe monograph compares two approaches that describe the statistical stability phenomenon - one proposed by the probability theory that ignores violations of statistical stability and another proposed by the theory of hyper-random phenomena that takes these violations into account. There are five parts. The first describes the phenomenon of statistical stability. The second outlines the mathematical foundations of probability theory. The third develops methods for detecting violations of statistical stability and presents the results of experimental research on actual processes of different physical nature that demonstrate the violations of statistical stability over broad observation intervals. The fourth part outlines the mathematical foundations of the theory of hyper-random phenomena. The fifth part discusses the problem of how to provide an adequate description of the world. The monograph should be interest to a wide readership: from university students on a first course majoring in physics, engineering, and mathematics to engineers, post-graduate students, and scientists carrying out research on the statistical laws of natural physical phenomena, developing and using statistical methods for high-precision measurement, prediction, and signal processing over broad observation intervals. To read the book, it is sufficient to be familiar with a standard first university course on mathematics.
988 _aEBSPRINGER_2018
650 7 _2embne
_9405075
_aProbabilidades
776 0 8 _iEdición impresa:
_z9783319607795
776 0 8 _iEdición impresa:
_z9783319607818
776 0 8 _iEdición impresa:
_z9783319869315
856 4 0 _uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-319-60780-1
_zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942 _2lcc
_cLE