PL EN


Preferences help
enabled [disable] Abstract
Number of results
Journal
2009 | 7 | 3 | 414-420
Article title

Gauss’ law of error revisited in the framework of Sharma-Taneja-Mittal information measure

Content
Title variants
Languages of publication
EN
Abstracts
EN
We reformulate the Gauss’ law of error in presence of correlations which are taken into account by means of a deformed product arising in the framework of the Sharma-Taneja-Mittal measure. Having reviewed the main proprieties of the generalized product and its related algebra, we derive, according to the Maximum Likelihood Principle, a family of error distributions with an asymptotic power-law behavior.
Publisher

Journal
Year
Volume
7
Issue
3
Pages
414-420
Physical description
Dates
published
1 - 9 - 2009
online
25 - 6 - 2009
Contributors
  • Dipartimento di Fisica Politecnico di Torino, Istituto Nazionale per la Fisica della Materia (CNR-INFM), I-10129, Torino, Italy, antonio.scarfone@polito.it
author
author
  • Department of Electrical and Electronic Engineering, Ibaraki University, 316-8511, Hitachi, Japan, wada@mx.ibaraki.ac.jp
References
  • [1] A. M. Scarfone, P. Quarati, G. Mezzorani, M. Lissia, Astrophys. Space Sci. 315, 353 (2008) http://dx.doi.org/10.1007/s10509-008-9842-3[Crossref]
  • [2] A. Ohara, T. Wada, arXiv:0810.0624v1 [WoS]
  • [3] M. Gell-Mann, C. Tsallis, Nonextensive entropy (Oxford University Press, New York, 2004)
  • [4] C. F. Gauss, Theoria motus corporum coelestium in sectionibus conicis solem ambientum (Hamburg, F. Perthes and I. H. Besser, 1809)
  • [5] C. Tsallis, S. M. Duarte Querio, AIP Conf. Proc. 965, 8 (2007) http://dx.doi.org/10.1063/1.2828765[Crossref]
  • [6] L. G. Moyano, C. Tsallis, M. Gell-Mann, Europhys. Lett. 73, 813 (2006) http://dx.doi.org/10.1209/epl/i2005-10487-1[Crossref]
  • [7] B. D. Sharma, I. J. Taneja, Metrika 22, 205 (1975) http://dx.doi.org/10.1007/BF01899728[Crossref]
  • [8] D. P. Mittal, Metrika 22, 35 (1975) http://dx.doi.org/10.1007/BF01899712[Crossref]
  • [9] G. Kaniadakis, A. M. Scarfone, Physica A 305, 69 (2002) http://dx.doi.org/10.1016/S0378-4371(01)00642-2[Crossref]
  • [10] E. P. Borges, Physica A 340, 95 (2004) http://dx.doi.org/10.1016/j.physa.2004.03.082[Crossref]
  • [11] L. Nivanen, A. Le Méhauté, Q. A. Wang, Rep. Math. Phys. 52, 437 (2003) http://dx.doi.org/10.1016/S0034-4877(03)80040-X[Crossref]
  • [12] C. Tsallis, M. Gell-Mann, Y. Sato, P. Natl. Acad. Sci. USA 102, 15377 (2005) http://dx.doi.org/10.1073/pnas.0503807102[Crossref]
  • [13] H. Suyari, T. Wada, Physica A 387, 71 (2008) http://dx.doi.org/10.1016/j.physa.2007.07.074[Crossref]
  • [14] H. Suyari, Physica A 368, 63 (2006) http://dx.doi.org/10.1016/j.physa.2005.12.061[Crossref]
  • [15] H. Suyari, M. Tsukada, IEEE T. Inform. Theory 51, 753 (2005) http://dx.doi.org/10.1109/TIT.2004.840862[Crossref]
  • [16] T. Wada, H. Suyari, Phys. Lett. A 348, 89 (2006) http://dx.doi.org/10.1016/j.physleta.2005.08.086[Crossref]
  • [17] G. Kaniadakis, M. Lissia, A. M. Scarfone, Phys. Rev. E 71, 046128 (2005) http://dx.doi.org/10.1103/PhysRevE.71.046128[Crossref]
  • [18] G. Kaniadakis, M. Lissia, A. M. Scarfone, Physica A 340, 41 (2004) http://dx.doi.org/10.1016/j.physa.2004.03.075[Crossref]
  • [19] S. Abe, G. Kaniadakis, A. M. Scarfone, J. Phys. AMath. Gen. 37, 10513 (2004) http://dx.doi.org/10.1088/0305-4470/37/44/004[Crossref]
  • [20] R. Tonelli, G. Mezzorani, F. Melloni, M. Lissia, M. Coraddu, Prog. Theor. Phys. 115, 23 (2006) http://dx.doi.org/10.1143/PTP.115.23[Crossref]
  • [21] T. Wada, H. Suyari, Phys. Lett. A 368, 199 (2007) http://dx.doi.org/10.1016/j.physleta.2007.04.009[Crossref]
  • [22] A. M. Scarfone, Physica A 365, 63 (2006) http://dx.doi.org/10.1016/j.physa.2006.01.023[Crossref]
  • [23] A. M. Scarfone, T. Wada, Phys. Rev. E 72, 026123 (2005) http://dx.doi.org/10.1103/PhysRevE.72.026123[Crossref]
  • [24] C. Tsallis, J. Stat. Phys. 52, 479 (1988) http://dx.doi.org/10.1007/BF01016429[Crossref]
  • [25] G. Kaniadakis, Phys. Rev. E 66, 056125 (2002) http://dx.doi.org/10.1103/PhysRevE.66.056125[Crossref]
  • [26] S. Abe, Phys. Lett. A 224, 326 (1997) http://dx.doi.org/10.1016/S0375-9601(96)00832-8[Crossref]
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.-psjd-doi-10_2478_s11534-009-0002-3
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.