Randomness And Hyper-randomness (mathematical Engineering)
by Igor I. Gorban /
2017 / English / PDF, EPUB
6.2 MB Download
The 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 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.
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.
To read the book, it is sufficient to be familiar with a standard
first university course on mathematics.