Published January 2, 2006
| Version v1
Journal article
κ-generalization of Gauss' law of error
Creators
- 1. Department of Electrical and Electronic Engineering, Ibaraki University, Hitachi, Ibaraki 316-8511 (Japan)
- 2. Department of Information and Image Sciences, Chiba University, Chiba 263-8522 (Japan)
Description
Based on the κ-deformed functions (κ-exponential and κ-logarithm) and associated multiplication operation (κ-product) introduced by Kaniadakis [Phys. Rev. E 66 (2002) 056125], we present another one-parameter generalization of Gauss' law of error. The likelihood function in Gauss' law of error is generalized by means of the κ-product. This κ-generalized maximum likelihood principle leads to the so-called κ-Gaussian distributions
Additional details
Identifiers
- DOI
- 10.1016/j.physleta.2005.08.086;
- arXiv
- arXiv:cond-mat/0505313v1;
- PII
- S0375-9601(05)01363-0;
Publishing Information
- Journal Title
- Physics Letters. A
- Journal Volume
- 348
- Journal Issue
- 3-6
- Journal Page Range
- p. 89-93
- ISSN
- 0375-9601
- CODEN
- PYLAAG
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 37066102
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ERRORS; GAUSS FUNCTION; MATHEMATICAL LOGIC; MATHEMATICAL OPERATORS; MAXIMUM-LIKELIHOOD FIT
- Descriptors DEC
- FUNCTIONS; MATHEMATICAL SOLUTIONS; NUMERICAL SOLUTION
Optional Information
- Copyright
- Copyright (c) 2005 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.