Randomness and Hyper-randomness

Part 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.

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• Matemática para engenheiros
• Física Matemática
• Mensuração e sistemas de medição
• Estocástica
• Engenharia electrónica
• Processamento de sinais
• Normas científicas
• Probabilidade e Estatística

Theory of hyper-random phenomena;Statistical stability;Kolmogorov's axioms;random variable;scalar random variable;vector random variable;hyper-random variable;central limit theorem;Measurement accuracy;random measurement model;high precision measurement;Wiener-Khinchin transformations;Hilbert's sixth problem;critical sample size;Flicker noise;Fractal processes;stochastic processes;hyper-random processes