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Czasopismo
2009 | 7 | 3 | 414-420
Tytuł artykułu

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

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
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.
Wydawca

Czasopismo
Rocznik
Tom
7
Numer
3
Strony
414-420
Opis fizyczny
Daty
wydano
2009-09-01
online
2009-06-25
Twórcy
  • Dipartimento di Fisica Politecnico di Torino, Istituto Nazionale per la Fisica della Materia (CNR-INFM), I-10129, Torino, Italy, antonio.scarfone@polito.it
  • Department of Electrical and Electronic Engineering, Ibaraki University, 316-8511, Hitachi, Japan, wada@mx.ibaraki.ac.jp
Bibliografia
  • [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]
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-009-0002-3
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