The Statistical Stability Phenomenon

This monograph investigates violations of statistical stability of physical events, variables, and processes and develops a new physical-mathematical theory taking into consideration such violations - the theory of hyper-random phenomena. There are five parts. The first describes the phenomenon of s...

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Detaylı Bibliyografya
Yazar: Gorban, Igor I. (Yazar)
Müşterek Yazar: SpringerLink (Online service)
Materyal Türü: e-Kitap
Dil:İngilizce
Baskı/Yayın Bilgisi: Cham : Springer International Publishing : Imprint: Springer, 2017.
Edisyon:1st ed. 2017.
Seri Bilgileri:Mathematical Engineering,
Konular:
Engineering mathematics.
Engineering > Data processing.
Measurement.
Measuring instruments.
Statistics .
System theory.
Mathematical physics.
Mathematical and Computational Engineering Applications.
Measurement Science and Instrumentation.
Statistics in Engineering, Physics, Computer Science, Chemistry and Earth Sciences.
Complex Systems.
Mathematical Physics.
Theoretical, Mathematical and Computational Physics.
Online Erişim:Full-text access
OPAC'ta görüntüle
İçindekiler:
  • Features of the Statistical Stability Phenomenon
  • The Phenomenon of Statistical Stability and its Properties
  • Determinism and Uncertainty
  • Formalization of the Statistical Stability Concept
  • Dependence of the Statistical Stability of a Stochastic Process on its Spectrum-Correlation Characteristics
  • Experimental Study of the Statistical Stability Phenomenon
  • Experimental Investigation of the Statistical Stability of Physical Processes over Large Observation Intervals
  • Experimental Investigation of the Statistical Stability of Meteorological Data
  • Experimental Studies of the Statistical Stability of Radiation from Astrophysical Objects
  • Statistical Stability of Different Types of Noise and Process
  • The Theory of Hyper-random Phenomena
  • Hyper-random Events and Variables
  • Hyper-random Functions
  • Stationary and Ergodic Hyper-random Functions
  • Transformations of Hyper-random Variables and Processes
  • Fundamentals of the Statistics of Hyper-random Phenomena
  • Principles of the Mathematical Analysis of Divergent and Many-valued Functions
  • Divergent Sequences and Functions
  • Description of Divergent Sequences and Functions
  • Divergent Sequences
  • Many-valued Variables, Sequences, and Functions
  • Principles of the Mathematical Analysis of Many-valued Functions
  • Statistical Laws in Statistical Stability Violation
  • The Law of Large Numbers
  • The Central Limit Theorem
  • Accuracy and Measurement Models
  • The Problem of Uncertainty
  • Epilogue
  • References.

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