메뉴 건너뛰기




Volumn 387, Issue 10, 2008, Pages 2243-2255

Corrigendum to: "Existence conditions and spreading properties of extreme entropy D-dimensional distributions" [Physica A 387 (2008) 2243-2255] (DOI:10.1016/j.physa.2007.12.005);Existence conditions and spreading properties of extreme entropy D-dimensional distributions

Author keywords

D dimensional extremum entropy problems; Existence conditions of maxent problems; Fisher information; Generalized Dowson Wragg inequalities; Shannon entropy; Tsallis entropy

Indexed keywords

INFORMATION THEORY; PROBLEM SOLVING; SYSTEMS ANALYSIS;

EID: 39149141350     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2008.04.005     Document Type: Erratum
Times cited : (21)

References (60)
  • 1
    • 84939431353 scopus 로고
    • Theory of statistical estimation
    • Reprinted in Collected Papers of R. A. Fisher, edited by J. H. Bennett (University of Adelaide Press, South Australia, 1972), pp. 15-40
    • Fisher R.A. Theory of statistical estimation. Proc. Cambridge Phil. Sec. 22 (1925) 725 Reprinted in Collected Papers of R. A. Fisher, edited by J. H. Bennett (University of Adelaide Press, South Australia, 1972), pp. 15-40
    • (1925) Proc. Cambridge Phil. Sec. , vol.22 , pp. 725
    • Fisher, R.A.1
  • 3
    • 84856043672 scopus 로고
    • A mathematical theory of communication
    • 623-656
    • Shannon C.E. A mathematical theory of communication. Bell Syst. Tech. 27 (1948) 379-423 623-656
    • (1948) Bell Syst. Tech. , vol.27 , pp. 379-423
    • Shannon, C.E.1
  • 5
    • 0002453010 scopus 로고
    • Quantification methods of classification processes: Concept of structural α-entropy
    • Havrda J., and Charvat F. Quantification methods of classification processes: Concept of structural α-entropy. Kybernetika 3 (1967) 30
    • (1967) Kybernetika , vol.3 , pp. 30
    • Havrda, J.1    Charvat, F.2
  • 6
    • 33646516485 scopus 로고
    • Possible generalization of Boltzmann-Gibbs statistics
    • Tsallis C. Possible generalization of Boltzmann-Gibbs statistics. J. Stat. Phys. 52 (1988) 479
    • (1988) J. Stat. Phys. , vol.52 , pp. 479
    • Tsallis, C.1
  • 7
    • 11944266539 scopus 로고
    • Information theory and statistical mechanics
    • Jaynes E.T. Information theory and statistical mechanics. Phys. Rev. 106 (1957) 620-630
    • (1957) Phys. Rev. , vol.106 , pp. 620-630
    • Jaynes, E.T.1
  • 8
    • 11944275853 scopus 로고
    • Information theory and statistical mechanics
    • Jaynes E.T. Information theory and statistical mechanics. Phys. Rev. 108 (1957) 171-190
    • (1957) Phys. Rev. , vol.108 , pp. 171-190
    • Jaynes, E.T.1
  • 9
    • 39149131229 scopus 로고
    • Levine R.D., and Tribus M. (Eds), MIT Press, Cambridge
    • Jaynes E.T. In: Levine R.D., and Tribus M. (Eds). The Maximum Entropy Problem (1978), MIT Press, Cambridge
    • (1978) The Maximum Entropy Problem
    • Jaynes, E.T.1
  • 10
    • 0020187981 scopus 로고
    • On the rationale of maximum entropy methods
    • Jaynes E.T. On the rationale of maximum entropy methods. Proc. IEEE 70 (1982) 939-952
    • (1982) Proc. IEEE , vol.70 , pp. 939-952
    • Jaynes, E.T.1
  • 12
    • 0000445280 scopus 로고
    • Fisher information, disorder, and the equilibrium distributions of physics
    • Frieden B.R. Fisher information, disorder, and the equilibrium distributions of physics. Phys. Rev. A 41 (1990) 4265
    • (1990) Phys. Rev. A , vol.41 , pp. 4265
    • Frieden, B.R.1
  • 14
    • 0032299256 scopus 로고    scopus 로고
    • The role of constraints within generalized non-extensive statistics
    • Tsallis C., Mendes R.S., and Plastino A.R. The role of constraints within generalized non-extensive statistics. Physica A 261 (1998) 534-554
    • (1998) Physica A , vol.261 , pp. 534-554
    • Tsallis, C.1    Mendes, R.S.2    Plastino, A.R.3
  • 16
    • 39149100148 scopus 로고    scopus 로고
    • Boon J.P., and Tsallis C. (Eds)
    • In: Boon J.P., and Tsallis C. (Eds). Nonextensive statistical mechanics. Europhys. News 36 (2005)
    • (2005) Europhys. News , vol.36
  • 17
    • 0344667553 scopus 로고    scopus 로고
    • Fisher information in density functional theory
    • Nagy A. Fisher information in density functional theory. J. Chem. Phys. 119 18 (2003) 9401
    • (2003) J. Chem. Phys. , vol.119 , Issue.18 , pp. 9401
    • Nagy, A.1
  • 18
    • 0034254984 scopus 로고    scopus 로고
    • Information theory, atoms in molecules and molecular similarity
    • Nalewajski R.F., and Parr R.G. Information theory, atoms in molecules and molecular similarity. Proc. Natl. Acad. Sci. USA 97 16 (2000) 8879
    • (2000) Proc. Natl. Acad. Sci. USA , vol.97 , Issue.16 , pp. 8879
    • Nalewajski, R.F.1    Parr, R.G.2
  • 19
    • 0001572641 scopus 로고
    • Tight rigorous bounds to atomic information entropies
    • Angulo J.C., and Dehesa J.S. Tight rigorous bounds to atomic information entropies. J. Chem. Phys. 97 (1992) 6485-6495
    • (1992) J. Chem. Phys. , vol.97 , pp. 6485-6495
    • Angulo, J.C.1    Dehesa, J.S.2
  • 20
    • 0000316313 scopus 로고
    • Weiszacker energy of many-electron systems
    • Romera E., and Dehesa J.S. Weiszacker energy of many-electron systems. Phys. Rev. A 50 (1994) 256-266
    • (1994) Phys. Rev. A , vol.50 , pp. 256-266
    • Romera, E.1    Dehesa, J.S.2
  • 21
    • 0015660719 scopus 로고
    • Maximum-entropy distributions having first and second moments
    • Dowson D.C., and Wragg A. Maximum-entropy distributions having first and second moments. IEEE Trans. Inform. Theory 19 5 (1973) 689-693
    • (1973) IEEE Trans. Inform. Theory , vol.19 , Issue.5 , pp. 689-693
    • Dowson, D.C.1    Wragg, A.2
  • 22
    • 0038850498 scopus 로고
    • The existence conditions for maximum entropy distributions having prescribed the first three moments
    • Kociszewski A. The existence conditions for maximum entropy distributions having prescribed the first three moments. J. Phys. A 19 (1986) L823-L827
    • (1986) J. Phys. A , vol.19
    • Kociszewski, A.1
  • 23
    • 0017553388 scopus 로고
    • On the existence of a class of maximum-entropy probability distributions
    • Einbu J.M. On the existence of a class of maximum-entropy probability distributions. IEEE Trans. Inform. Theory 23 6 (1977) 772-775
    • (1977) IEEE Trans. Inform. Theory , vol.23 , Issue.6 , pp. 772-775
    • Einbu, J.M.1
  • 24
    • 0034377580 scopus 로고    scopus 로고
    • Maximum entropy for reduced moment problems
    • Junk M. Maximum entropy for reduced moment problems. Math. Models Methods Appl. Sci. 10 7 (2000) 1001-1025
    • (2000) Math. Models Methods Appl. Sci. , vol.10 , Issue.7 , pp. 1001-1025
    • Junk, M.1
  • 25
    • 39149120761 scopus 로고    scopus 로고
    • J.C. Cuchí, Sobre el método de mínima entropía relativa y sus aplicaciones en física atómica y molecular, Ph.D. Thesis, Universidad de Zaragoza, 2005
    • J.C. Cuchí, Sobre el método de mínima entropía relativa y sus aplicaciones en física atómica y molecular, Ph.D. Thesis, Universidad de Zaragoza, 2005
  • 28
    • 0024631606 scopus 로고
    • Some results on maximum entropy distributions for parameters known to lie in finite intervals
    • Udwadia F.E. Some results on maximum entropy distributions for parameters known to lie in finite intervals. SIAM Rev. 31 1 (1989) 103-109
    • (1989) SIAM Rev. , vol.31 , Issue.1 , pp. 103-109
    • Udwadia, F.E.1
  • 29
    • 0001592917 scopus 로고    scopus 로고
    • Derivation of the equations of non-relativistic quantum mechanics using the principle of minimum Fisher information
    • Reginatto M. Derivation of the equations of non-relativistic quantum mechanics using the principle of minimum Fisher information. Phys. Rev. A 58 3 (1998) 1775-1778
    • (1998) Phys. Rev. A , vol.58 , Issue.3 , pp. 1775-1778
    • Reginatto, M.1
  • 30
    • 39149089822 scopus 로고    scopus 로고
    • Maximum entropy and lacunary Stieltjes moment problem
    • Frontini M., and Tagliani A. Maximum entropy and lacunary Stieltjes moment problem. Appl. Math. Comput. 97 (1998) 183-196
    • (1998) Appl. Math. Comput. , vol.97 , pp. 183-196
    • Frontini, M.1    Tagliani, A.2
  • 31
    • 7244247445 scopus 로고
    • Maximum entropy in the problem of moments
    • Mead L.R., and Papanicolau N. Maximum entropy in the problem of moments. J. Math. Phys. 5 (1984) 2404-2417
    • (1984) J. Math. Phys. , vol.5 , pp. 2404-2417
    • Mead, L.R.1    Papanicolau, N.2
  • 32
    • 0032167136 scopus 로고    scopus 로고
    • On the q = frac(1, 2) non-extensive maximum entropy distribution
    • Rebollo-Neira L., Plastino A., and Fernández-Rubio J. On the q = frac(1, 2) non-extensive maximum entropy distribution. Physica A 258 (1998) 458-465
    • (1998) Physica A , vol.258 , pp. 458-465
    • Rebollo-Neira, L.1    Plastino, A.2    Fernández-Rubio, J.3
  • 35
    • 0033242937 scopus 로고    scopus 로고
    • Tsallis entropy and Jaynes' information theory formalism
    • Plastino A., and Plastino A.R. Tsallis entropy and Jaynes' information theory formalism. Braz. J. Phys. 29 1 (1999) 50-60
    • (1999) Braz. J. Phys. , vol.29 , Issue.1 , pp. 50-60
    • Plastino, A.1    Plastino, A.R.2
  • 36
    • 26444478560 scopus 로고    scopus 로고
    • On the existence and characterization of the maxent distribution under general moment inequality constraints
    • Ishwar P., and Moulin P. On the existence and characterization of the maxent distribution under general moment inequality constraints. IEEE Trans. Inform. Theory 51 9 (2005) 3322-3333
    • (2005) IEEE Trans. Inform. Theory , vol.51 , Issue.9 , pp. 3322-3333
    • Ishwar, P.1    Moulin, P.2
  • 37
    • 0032026178 scopus 로고    scopus 로고
    • Minimum Fisher information of moment-constrained distributions with application to robust blind identification
    • Zivojmovic V. Minimum Fisher information of moment-constrained distributions with application to robust blind identification. Signal Process. 65 (1998) 297
    • (1998) Signal Process. , vol.65 , pp. 297
    • Zivojmovic, V.1
  • 38
    • 18744376509 scopus 로고    scopus 로고
    • Maximum Renyi entropy principle for systems with power-law Hamiltonians
    • 130601-1-4
    • Bashkirov A.G. Maximum Renyi entropy principle for systems with power-law Hamiltonians. Phys. Rev. Lett. 93 (2004) 130601-1-4
    • (2004) Phys. Rev. Lett. , vol.93
    • Bashkirov, A.G.1
  • 40
    • 0003490890 scopus 로고
    • Herschbach D.R., Avery J., and Goscinski O. (Eds), Kluwer, Dordrecht
    • In: Herschbach D.R., Avery J., and Goscinski O. (Eds). Dimensional Scaling in Chemical Physics (1993), Kluwer, Dordrecht
    • (1993) Dimensional Scaling in Chemical Physics
  • 43
    • 84953681835 scopus 로고
    • The 1 / N expansion in atomic and particle physics
    • Witten E. The 1 / N expansion in atomic and particle physics. Phys. Today 33 7 (1980) 38
    • (1980) Phys. Today , vol.33 , Issue.7 , pp. 38
    • Witten, E.1
  • 44
    • 27144500687 scopus 로고    scopus 로고
    • Simple and surprisingly accurate approach to the chemical bond obtained from dimensional scaling
    • Svidzinsky A.O., Scully M.O., and Herschbach D.R. Simple and surprisingly accurate approach to the chemical bond obtained from dimensional scaling. Phys. Rev. Lett. 95 (2005) 080401
    • (2005) Phys. Rev. Lett. , vol.95 , pp. 080401
    • Svidzinsky, A.O.1    Scully, M.O.2    Herschbach, D.R.3
  • 45
    • 39149137990 scopus 로고    scopus 로고
    • A. Renyi, On measures of entropy and information, in: Proceed. 4th. Berkley Symposium on Mathematics of Statistics and Probability, vol. 1, 1961, pp. 547-561
    • A. Renyi, On measures of entropy and information, in: Proceed. 4th. Berkley Symposium on Mathematics of Statistics and Probability, vol. 1, 1961, pp. 547-561
  • 46
    • 41349089005 scopus 로고    scopus 로고
    • Schrödinger link between nonequilibrium thermodynamics and Fisher information
    • Frieden B.R., Plastino A., Plastino A.R., and Soffer B.H. Schrödinger link between nonequilibrium thermodynamics and Fisher information. Phys. Rev. E 66 (2002) 046128
    • (2002) Phys. Rev. E , vol.66 , pp. 046128
    • Frieden, B.R.1    Plastino, A.2    Plastino, A.R.3    Soffer, B.H.4
  • 47
    • 84968510919 scopus 로고
    • Maximum entropy and the moment problem
    • Landau H.J. Maximum entropy and the moment problem. Bull. AMS 16 1 (1987) 47
    • (1987) Bull. AMS , vol.16 , Issue.1 , pp. 47
    • Landau, H.J.1
  • 48
    • 0000439905 scopus 로고    scopus 로고
    • Quantum entanglement inferred by the principle of maximum nonadditive entropy
    • Abe S., and Rajagopal A.K. Quantum entanglement inferred by the principle of maximum nonadditive entropy. Phys. Rev. A 60 (1999) 3461
    • (1999) Phys. Rev. A , vol.60 , pp. 3461
    • Abe, S.1    Rajagopal, A.K.2
  • 49
    • 0002542972 scopus 로고    scopus 로고
    • Fisher-based thermodynamics: Its Legendre transform and concavity properties
    • Frieden B.R., Plastino A., Plastino A.R., and Soffer B.H. Fisher-based thermodynamics: Its Legendre transform and concavity properties. Phys. Rev. E 60 1 (1999) 48-53
    • (1999) Phys. Rev. E , vol.60 , Issue.1 , pp. 48-53
    • Frieden, B.R.1    Plastino, A.2    Plastino, A.R.3    Soffer, B.H.4
  • 50
    • 0000339104 scopus 로고
    • Estimation of distribution laws and physical laws by a principle of extremized physical information
    • Frieden B.R. Estimation of distribution laws and physical laws by a principle of extremized physical information. Physica A 198 (1993) 262
    • (1993) Physica A , vol.198 , pp. 262
    • Frieden, B.R.1
  • 51
    • 34848858749 scopus 로고
    • Applications to optics and wave mechanics of the criterion of maximum Cramer-Rao bound
    • Frieden B.R. Applications to optics and wave mechanics of the criterion of maximum Cramer-Rao bound. J. Modern Opt. 35 8 (1988) 1297-1316
    • (1988) J. Modern Opt. , vol.35 , Issue.8 , pp. 1297-1316
    • Frieden, B.R.1
  • 52
    • 23044440406 scopus 로고
    • Lagrangians of physics and the game of Fisher-information transfer
    • Frieden B.R., and Soffer B.H. Lagrangians of physics and the game of Fisher-information transfer. Phys. Rev. E 52 (1995) 2274
    • (1995) Phys. Rev. E , vol.52 , pp. 2274
    • Frieden, B.R.1    Soffer, B.H.2
  • 53
    • 0034386123 scopus 로고    scopus 로고
    • A critical comparison of the three information-based approaches to physics
    • Frieden B.R., and Soffer B.H. A critical comparison of the three information-based approaches to physics. Found. Phys. Lett. 13 (2000) 89-96
    • (2000) Found. Phys. Lett. , vol.13 , pp. 89-96
    • Frieden, B.R.1    Soffer, B.H.2
  • 54
    • 0036961426 scopus 로고    scopus 로고
    • Maximum Shannon entropy, minimum Fisher information and an elementary game
    • Luo S. Maximum Shannon entropy, minimum Fisher information and an elementary game. Found. Phys. Lett. 32 (2002) 1757-1772
    • (2002) Found. Phys. Lett. , vol.32 , pp. 1757-1772
    • Luo, S.1
  • 56
    • 84867973394 scopus 로고    scopus 로고
    • Maximum entropy solutions and moment problem in unbounded domains
    • See references herein
    • Tagliani A. Maximum entropy solutions and moment problem in unbounded domains. Appl. Math. Lett. 16 (2003) 519-524 See references herein
    • (2003) Appl. Math. Lett. , vol.16 , pp. 519-524
    • Tagliani, A.1
  • 60
    • 39149145333 scopus 로고    scopus 로고
    • Visit, http://tsallis.cat.cbpf.br/biblio.htm
    • Visit, http://tsallis.cat.cbpf.br/biblio.htm


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.