The method of the likelihood and the Fisher information in the construction of physical models

The subjects of the paper are the likelihood method (LM) and the expected Fisher information (FI) considered from the point od view of the construction of the physical models which originate in the statistical description of phenomena. The master equation case and structural information principle ar...

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Published inPhysica Status Solidi (b) Vol. 246; no. 5; pp. 1033 - 1037
Main Authors Piotrowski, E.W., Sładkowski, J., Syska, J., Zaja̧c, S.
Format Journal Article Conference Proceeding
LanguageEnglish
Published Berlin WILEY-VCH Verlag 01.05.2009
WILEY‐VCH Verlag
Wiley-VCH
Subjects
02.50.−r
03.50.−d
03.65.−w
Exact sciences and technology
Mathematical methods in physics
Physics
Probability theory, stochastic processes, and statistics
Phenomenological model
Entropy
Master equations
Likelihood function
Fisher information
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Abstract The subjects of the paper are the likelihood method (LM) and the expected Fisher information (FI) considered from the point od view of the construction of the physical models which originate in the statistical description of phenomena. The master equation case and structural information principle are derived. Then, the phenomenological description of the information transfer is presented. The extreme physical information (EPI) method is reviewed. As if marginal, the statistical interpretation of the amplitude of the system is given. The formalism developed in this paper would be also applied in quantum information processing and quantum game theory (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
AbstractList The subjects of the paper are the likelihood method (LM) and the expected Fisher information ( FI ) considered from the point od view of the construction of the physical models which originate in the statistical description of phenomena. The master equation case and structural information principle are derived. Then, the phenomenological description of the information transfer is presented. The extreme physical information (EPI) method is reviewed. As if marginal, the statistical interpretation of the amplitude of the system is given. The formalism developed in this paper would be also applied in quantum information processing and quantum game theory (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
The subjects of the paper are the likelihood method (LM) and the expected Fisher information (FI) considered from the point od view of the construction of the physical models which originate in the statistical description of phenomena. The master equation case and structural information principle are derived. Then, the phenomenological description of the information transfer is presented. The extreme physical information (EPI) method is reviewed. As if marginal, the statistical interpretation of the amplitude of the system is given. The formalism developed in this paper would be also applied in quantum information processing and quantum game theory.
The subjects of the paper are the likelihood method (LM) and the expected Fisher information (FI) considered from the point od view of the construction of the physical models which originate in the statistical description of phenomena. The master equation case and structural information principle are derived. Then, the phenomenological description of the information transfer is presented. The extreme physical information (EPI) method is reviewed. As if marginal, the statistical interpretation of the amplitude of the system is given. The formalism developed in this paper would be also applied in quantum information processing and quantum game theory (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Author Piotrowski, E.W.
Sładkowski, J.
Zaja̧c, S.
Syska, J.
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crossref_primary_10_1016_j_physa_2015_02_033
crossref_primary_10_1103_PhysRevE_88_032130
Cites_doi 10.1103/PhysRevA.66.022107
10.1214/aos/1176343282
10.1214/aos/1176345779
10.1007/BF00765336
10.1093/oso/9780198507659.001.0001
10.1098/rsta.1922.0009
10.1103/PhysRevE.66.046128
10.1017/CBO9780511616907
10.1002/pssb.200674646
10.1016/0375-9601(95)00269-9
10.1023/A:1024443232206
10.1103/PhysRevE.52.2247
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Keywords Phenomenological model
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Fisher information
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– reference: B. R. Frieden, A. Plastino, A. R. Plastino, and B. H. Soffer, Phys. Rev. E 66, 046128 (2002); Phys. Lett. A 304, 73 (2002).
– reference: R. A. Fisher, Philos. Trans. R. Soc. Lond. 222, 309 (1922).
– reference: J. Syska, Phys. Status Solidi B 244, 2531-2537 (2007).
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– reference: A. P. Dawid, Ann. Statist. 3, 1231 (1975); Ann. Statist. 5, 1249 (1977).
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Snippet The subjects of the paper are the likelihood method (LM) and the expected Fisher information (FI) considered from the point od view of the construction of the...
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03.50.−d
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Exact sciences and technology
Mathematical methods in physics
Physics
Probability theory, stochastic processes, and statistics
Title The method of the likelihood and the Fisher information in the construction of physical models
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