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Volumn 7, Issue 2, 2013, Pages 175-229

Analysis of persistent nonstationary time series and applications

Author keywords

Clustering; Finite element method; Nonstationary data analysis; Nonstationary time series analysis

Indexed keywords


EID: 84884311748     PISSN: 15593940     EISSN: 21575452     Source Type: Journal    
DOI: 10.2140/camcos.2012.7.175     Document Type: Article
Times cited : (48)

References (76)
  • 1
    • 0016355478 scopus 로고
    • A new look at the statistical model identification
    • Control MR 54 #11691 Zbl 0314.62039
    • H. Akaike, A new look at the statistical model identification, IEEE Trans. Automat. Control 19 (1974), no. 6, 716-723. MR 54 #11691 Zbl 0314.62039
    • (1974) IEEE Trans. Automat. , vol.19 , Issue.6 , pp. 716-723
    • Akaike, H.1
  • 3
    • 0001862769 scopus 로고
    • An inequality and associated maximization technique in statistical estimation for probabilistic functions of Markov processes
    • Academic Press, New York, MR 49 #6528
    • L. E. Baum, An inequality and associated maximization technique in statistical estimation for probabilistic functions of Markov processes, Inequalities, III (O. Shisha, ed.), Academic Press, New York, 1972, pp. 1-8. MR 49 #6528
    • (1972) Inequalities, III (O. Shisha, ed.) , pp. 1-8
    • Baum, L.E.1
  • 4
    • 0000342467 scopus 로고
    • Statistical inference for probabilistic functions of finite state Markov chains
    • MR 34 #2137 Zbl 0144.40902
    • L. E. Baum and T. Petrie, Statistical inference for probabilistic functions of finite state Markov chains, Ann. Math. Stat. 37 (1966), no. 6, 1554-1563. MR 34 #2137 Zbl 0144.40902
    • (1966) Ann. Math. Stat. , vol.37 , Issue.6 , pp. 1554-1563
    • Baum, L.E.1    Petrie, T.2
  • 7
    • 42449156579 scopus 로고
    • Generalized autoregressive conditional heteroskedasticity
    • MR 87j:62169 Zbl 0616.62119
    • T. Bollerslev, Generalized autoregressive conditional heteroskedasticity, J. Econometrics 31 (1986), no. 3, 307-327. MR 87j:62169 Zbl 0616.62119
    • (1986) J. Econometrics , vol.31 , Issue.3 , pp. 307-327
    • Bollerslev, T.1
  • 8
    • 0003966593 scopus 로고    scopus 로고
    • Finite elements: theory, fast solvers, and applications in solid mechanics
    • Cambridge University Press, Cambridge, MR 2001k:65002 Zbl 0976.65099
    • D. Braess, Finite elements: theory, fast solvers, and applications in solid mechanics, 2nd ed., Cambridge University Press, Cambridge, 2001. MR 2001k:65002 Zbl 0976.65099
    • (2001) 2nd ed.
    • Braess, D.1
  • 10
    • 33751338533 scopus 로고    scopus 로고
    • Multiperiod portfolio optimization models in stochastic markets using the mean-variance approach
    • Zbl 1163.91375
    • U. Çelikyurt and S. Özekici, Multiperiod portfolio optimization models in stochastic markets using the mean-variance approach, Eur. J. Oper. Res. 179 (2007), no. 1, 186-202. Zbl 1163.91375
    • (2007) Eur. J. Oper. Res. , vol.179 , Issue.1 , pp. 186-202
    • Çelikyurt, U.1    Özekici, S.2
  • 11
    • 0000371241 scopus 로고    scopus 로고
    • On the approximation of complicated dynamical behavior
    • MR 2000c:37026 Zbl 0916.58021
    • M. Dellnitz and O. Junge, On the approximation of complicated dynamical behavior, SIAM J. Numer. Anal. 36 (1999), no. 2, 491-515. MR 2000c:37026 Zbl 0916.58021
    • (1999) SIAM J. Numer. Anal. , vol.36 , Issue.2 , pp. 491-515
    • Dellnitz, M.1    Junge, O.2
  • 12
    • 0002629270 scopus 로고
    • Maximum likelihood from incomplete data via the EM algorithm
    • MR 58 #18858 Zbl 0364.62022
    • A. P. Dempster, N. M. Laird, and D. B. Rubin, Maximum likelihood from incomplete data via the EM algorithm, J. Roy. Stat. Soc. Ser. B 39 (1977), no. 1, 1-38. MR 58 #18858 Zbl 0364.62022
    • (1977) J. Roy. Stat. Soc. Ser. B , vol.39 , Issue.1 , pp. 1-38
    • Dempster, A.P.1    Laird, N.M.2    Rubin, D.B.3
  • 14
    • 13544256263 scopus 로고    scopus 로고
    • Robust Perron cluster analysis in conformation dynamics
    • MR 2005h:62166 Zbl 1070.15019
    • P. Deuflhard and M. Weber, Robust Perron cluster analysis in conformation dynamics, Linear Algebra Appl. 398 (2005), 161-184. MR 2005h:62166 Zbl 1070.15019
    • (2005) Linear Algebra Appl. , vol.398 , pp. 161-184
    • Deuflhard, P.1    Weber, M.2
  • 15
    • 0000051984 scopus 로고
    • Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation
    • MR 83j:62158 Zbl 0491. 62099
    • R. F. Engle, Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation, Econometrica 50 (1982), no. 4, 987-1007. MR 83j:62158 Zbl 0491. 62099
    • (1982) Econometrica , vol.50 , Issue.4 , pp. 987-1007
    • Engle, R.F.1
  • 16
    • 0002528209 scopus 로고
    • The behavior of stock-market prices
    • E. F. Fama, The behavior of stock-market prices, J. Bus. 38 (1965), no. 1, 34-105.
    • (1965) J. Bus. , vol.38 , Issue.1 , pp. 34-105
    • Fama, E.F.1
  • 17
    • 35349000688 scopus 로고    scopus 로고
    • Identification of biomolecular conformations from incomplete torsion angle observations by hidden Markov models
    • A. Fischer, S. Waldhausen, I. Horenko, E. Meerbach, and C. Schütte, Identification of biomolecular conformations from incomplete torsion angle observations by hidden Markov models, J. Comput. Chem. 28 (2007), no. 15, 2453-2464.
    • (2007) J. Comput. Chem. , vol.28 , Issue.15 , pp. 2453-2464
    • Fischer, A.1    Waldhausen, S.2    Horenko, I.3    Meerbach, E.4    Schütte, C.5
  • 18
    • 44449178720 scopus 로고    scopus 로고
    • A hidden Markov model perspective on regimes and metastability in atmospheric flows
    • C. Franzke, D. Crommelin, A. Fischer, and A. J. Majda, A hidden Markov model perspective on regimes and metastability in atmospheric flows, J. Climate 21 (2008), no. 8, 1740-1757.
    • (2008) J. Climate , vol.21 , Issue.8 , pp. 1740-1757
    • Franzke, C.1    Crommelin, D.2    Fischer, A.3    Majda, A.J.4
  • 20
    • 0001257368 scopus 로고
    • Estimating regression functions and their derivatives by the kernel method
    • MR 86h:62056 Zbl 0548.62028
    • T. Gasser and H.-G. Müller, Estimating regression functions and their derivatives by the kernel method, Scand. J. Stat. 11 (1984), no. 3, 171-185. MR 86h:62056 Zbl 0548.62028
    • (1984) Scand. J. Stat. , vol.11 , Issue.3 , pp. 171-185
    • Gasser, T.1    Müller, H.-G.2
  • 22
    • 84858613589 scopus 로고    scopus 로고
    • Quantifying the predictive skill in long-range forecasting, I: Coarse-grained predictions in a simple ocean model
    • D. Giannakis and A. J. Majda, Quantifying the predictive skill in long-range forecasting, I: Coarse-grained predictions in a simple ocean model, J. Climate 25 (2011), 1793-1813
    • (2011) J. Climate , vol.25 , pp. 1793-1813
    • Giannakis, D.1    Majda, A.J.2
  • 23
    • 84858599251 scopus 로고    scopus 로고
    • Quantifying the predictive skill in long-range forecasting II: Model error in coarsegrained Markov models with application to ocean-circulation regimes
    • D. Giannakis and A. J. Majda, Quantifying the predictive skill in long-range forecasting, II: Model error in coarsegrained Markov models with application to ocean-circulation regimes, J. Climate 25 (2011), 1814-1826.
    • (2011) J. Climate , vol.25 , pp. 1814-1826
    • Giannakis, D.1    Majda, A.J.2
  • 25
    • 0036896227 scopus 로고    scopus 로고
    • On choosing and bounding probability metrics
    • Zbl 1217.62014
    • A. L. Gibbs and F. E. Su, On choosing and bounding probability metrics, Int. Stat. Rev. 70 (2002), no. 3, 419-435. Zbl 1217.62014
    • (2002) Int. Stat. Rev. , vol.70 , Issue.3 , pp. 419-435
    • Gibbs, A.L.1    Su, F.E.2
  • 26
    • 0002500486 scopus 로고
    • Sur les problèmes aux dérivées partielles et leur signification physique
    • J. Hadamard, Sur les problèmes aux dérivées partielles et leur signification physique, Princeton Univ. Bull. 13 (1902), 49-52.
    • (1902) Princeton Univ. Bull. , vol.13 , pp. 49-52
    • Hadamard, J.1
  • 27
    • 0001342006 scopus 로고
    • A new approach to the economic analysis of nonstationary time series and the business cycle
    • MR 996941 Zbl 0685.62092
    • J. D. Hamilton, A new approach to the economic analysis of nonstationary time series and the business cycle, Econometrica 57 (1989), no. 2, 357-384. MR 996941 Zbl 0685.62092
    • (1989) Econometrica , vol.57 , Issue.2 , pp. 357-384
    • Hamilton, J.D.1
  • 28
    • 0002161961 scopus 로고
    • Application of ridge analysis to regression problems
    • A. Hoerl, Application of ridge analysis to regression problems, Chem. Eng. Prog. 58 (1962), no. 3, 54-59.
    • (1962) Chem. Eng. Prog. , vol.58 , Issue.3 , pp. 54-59
    • Hoerl, A.1
  • 29
    • 45849084703 scopus 로고    scopus 로고
    • On simultaneous data-based dimension reduction and hidden phase identification
    • I. Horenko, On simultaneous data-based dimension reduction and hidden phase identification, J. Atmos. Sci. 65 (2008), no. 6, 1941-1954.
    • (2008) J. Atmos. Sci. , vol.65 , Issue.6 , pp. 1941-1954
    • Horenko, I.1
  • 30
    • 69949148733 scopus 로고    scopus 로고
    • On robust estimation of low-frequency variability trends in discrete Markovian sequences of Atmospherical Circulation Patterns
    • I. Horenko,On robust estimation of low-frequency variability trends in discrete Markovian sequences of Atmospherical Circulation Patterns, J. Atmos. Sci. 66 (2009), no. 7, 2059-2072.
    • (2009) J. Atmos. Sci. , vol.66 , Issue.7 , pp. 2059-2072
    • Horenko, I.1
  • 31
    • 77249138268 scopus 로고    scopus 로고
    • Finite element approach to clustering of multidimensional time series
    • MR 2011b:62009 Zbl 1206.62150
    • I. Horenko, Finite element approach to clustering of multidimensional time series, SIAM J. Sci. Comput. 32 (2010), no. 1, 62-83. MR 2011b:62009 Zbl 1206.62150
    • (2010) SIAM J. Sci. Comput. , vol.32 , Issue.1 , pp. 62-83
    • Horenko, I.1
  • 32
    • 75149146645 scopus 로고    scopus 로고
    • On clustering of non-stationary meteorological time series
    • I. Horenko, On clustering of non-stationary meteorological time series, Dyn. of Atmos. and Oceans 49 (2010), no. 2-3, 164-187.
    • (2010) Dyn. of Atmos. and Oceans , vol.49 , Issue.2-3 , pp. 164-187
    • Horenko, I.1
  • 33
    • 77955587762 scopus 로고    scopus 로고
    • On identification of non-stationary factor models and its application to atmospherical data analysis
    • I. Horenko,On identification of non-stationary factor models and its application to atmospherical data analysis, J. Atmos. Sci. 67 (2010), no. 5, 1559-1574.
    • (2010) J. Atmos. Sci. , vol.67 , Issue.5 , pp. 1559-1574
    • Horenko, I.1
  • 34
    • 79960319155 scopus 로고    scopus 로고
    • Nonstationarity in multifactor models of discrete jump processes, memory and application to cloud modeling
    • I. Horenko, Nonstationarity in multifactor models of discrete jump processes, memory and application to cloud modeling, J. Atmos. Sci. 68 (2011), no. 7, 1493-1506.
    • (2011) J. Atmos. Sci. , vol.68 , Issue.7 , pp. 1493-1506
    • Horenko, I.1
  • 35
    • 84856518341 scopus 로고    scopus 로고
    • On analysis of nonstationary categorical data time series: dynamical dimension reduction model selection, and applications to computational sociology
    • MR 2861255
    • I. Horenko, On analysis of nonstationary categorical data time series: dynamical dimension reduction, model selection, and applications to computational sociology, Multiscale Model. Simul. 9 (2011), no. 4, 1700-1726. MR 2861255
    • (2011) Multiscale Model. Simul. , vol.9 , Issue.4 , pp. 1700-1726
    • Horenko, I.1
  • 36
    • 34247380700 scopus 로고    scopus 로고
    • Automated model reduction for complex systems exhibiting metastability
    • MR 2257236 Zbl 1122.60062
    • I. Horenko, E. Dittmer, A. Fischer, and C. Schütte, Automated model reduction for complex systems exhibiting metastability, Multiscale Model. Simul. 5 (2006), no. 3, 802-827. MR 2257236 Zbl 1122.60062
    • (2006) Multiscale Model. Simul. , vol.5 , Issue.3 , pp. 802-827
    • Horenko, I.1    Dittmer, E.2    Fischer, A.3    Schütte, C.4
  • 37
    • 33746080864 scopus 로고    scopus 로고
    • Reduced stochastic models for complex molecular systems
    • MR 2247687
    • I. Horenko, E. Dittmer, and C. Schütte, Reduced stochastic models for complex molecular systems, Comput. Vis. Sci. 9 (2006), no. 2, 89-102. MR 2247687
    • (2006) Comput. Vis. Sci. , vol.9 , Issue.2 , pp. 89-102
    • Horenko, I.1    Dittmer, E.2    Schütte, C.3
  • 38
    • 58049093933 scopus 로고    scopus 로고
    • Metastable decomposition of high-dimensional meteorological data with gaps
    • I. Horenko, S. Dolaptchiev, A. Eliseev, I. Mokhov, and R. Klein, Metastable decomposition of high-dimensional meteorological data with gaps, J. Atmos. Sci. 65 (2008), no. 11, 3479-3496.
    • (2008) J. Atmos. Sci. , vol.65 , Issue.11 , pp. 3479-3496
    • Horenko, I.1    Dolaptchiev, S.2    Eliseev, A.3    Mokhov, I.4    Klein, R.5
  • 39
    • 55149085946 scopus 로고    scopus 로고
    • Automated generation of reduced stochastic weather models, I: Simultaneous dimension and model reduction for time series analysis
    • MR 2009e:62338 Zbl 1152.62056
    • I. Horenko, R. Klein, S. Dolaptchiev, and C. Schütte, Automated generation of reduced stochastic weather models, I: Simultaneous dimension and model reduction for time series analysis, Multiscale Model. Simul. 6 (2007), no. 4, 1125-1145. MR 2009e:62338 Zbl 1152.62056
    • (2007) Multiscale Model. Simul. , vol.6 , Issue.4 , pp. 1125-1145
    • Horenko, I.1    Klein, R.2    Dolaptchiev, S.3    Schütte, C.4
  • 40
    • 33750306323 scopus 로고    scopus 로고
    • Set-oriented dimension reduction: localizing principal component analysis via hidden Markov models, Computational life sciences II
    • Springer, Berlin, MR 2279311
    • I. Horenko, J. Schmidt-Ehrenberg, and C. Schütte, Set-oriented dimension reduction: localizing principal component analysis via hidden Markov models, Computational life sciences II (M. R. Berthold, R. Glen, and I. Fischer, eds.), Lecture Notes in Comput. Sci., no. 4216, Springer, Berlin, 2006, pp. 74-85. MR 2279311
    • (2006) (M. R. Berthold, R. Glen, and I. Fischer, eds.), Lecture Notes in Comput. Sci. , vol.4216 , pp. 74-85
    • Horenko, I.1    Schmidt-Ehrenberg, J.2    Schütte, C.3
  • 41
    • 55149108337 scopus 로고    scopus 로고
    • Likelihood-based estimation of multidimensional Langevin models and its application to biomolecular dynamics
    • MR 2009j:37136 Zbl 1180.35175
    • I. Horenko and C. Schütte, Likelihood-based estimation of multidimensional Langevin models and its application to biomolecular dynamics, Multiscale Model. Simul. 7 (2008), no. 2, 731- 773. MR 2009j:37136 Zbl 1180.35175
    • (2008) Multiscale Model. Simul. , vol.7 , Issue.2
    • Horenko, I.1    Schütte, C.2
  • 43
    • 11944266539 scopus 로고
    • Information theory and statistical mechanics
    • MR 19,335b Zbl 0084.43701
    • E. T. Jaynes, Information theory and statistical mechanics, Phys. Rev. (2) 106 (1957), 620-630. MR 19,335b Zbl 0084.43701
    • (1957) Phys. Rev. , vol.106 , Issue.2 , pp. 620-630
    • Jaynes, E.T.1
  • 44
    • 11944275853 scopus 로고
    • Information theory and statistical mechanics
    • MR 20 #2898 Zbl 0084.43701
    • E. T. Jaynes, Information theory and statistical mechanics, II, Phys. Rev. (2) 108 (1957), 171-190. MR 20 #2898 Zbl 0084.43701
    • (1957) II, Phys. Rev. , vol.108 , Issue.2 , pp. 171-190
    • Jaynes, E.T.1
  • 45
    • 85024429815 scopus 로고
    • A new approach to linear filtering and prediction problems
    • R. Kalman, A new approach to linear filtering and prediction problems, J. Basic Eng. 82 (1960), no. 1, 35-45.
    • (1960) J. Basic Eng. , vol.82 , Issue.1 , pp. 35-45
    • Kalman, R.1
  • 47
    • 84884323133 scopus 로고    scopus 로고
    • Koninklijk Nederlands Meteorologisch Instituut
    • Koninklijk Nederlands Meteorologisch Instituut, http://climexp.knmi.nl/getindices.cgi?WMO=NCEPData/nino2_daily&STATION=NINO12&id=someone@somewhere&NPERYEAR=366&TYPE=i.
  • 51
    • 25444485718 scopus 로고    scopus 로고
    • Protein folding and disease
    • C. Lee and M.-H. Yu, Protein folding and disease, J. Biochem. Molec. Biol. 38 (2005), no. 3, 275-280.
    • (2005) J. Biochem. Molec. Biol. , vol.38 , Issue.3 , pp. 275-280
    • Lee, C.1    Yu, M.-H.2
  • 52
  • 54
    • 33744791821 scopus 로고    scopus 로고
    • Distinct metastable atmospheric regimes despite nearly Gaussian statistics: a paradigm model
    • MR 2007a:86004 Zbl 1160.86304
    • A. J. Majda, C. L. Franzke, A. Fischer, and D. T. Crommelin, Distinct metastable atmospheric regimes despite nearly Gaussian statistics: a paradigm model, Proc. Natl. Acad. Sci. USA 103 (2006), no. 22, 8309-8314. MR 2007a:86004 Zbl 1160.86304
    • (2006) Proc. Natl. Acad. Sci. USA , vol.103 , Issue.22 , pp. 8309-8314
    • Majda, A.J.1    Franzke, C.L.2    Fischer, A.3    Crommelin, D.T.4
  • 57
    • 77957286403 scopus 로고    scopus 로고
    • Observation uncertainty in reversible Markov chains
    • Paper #031114.MR 2012a:60202 228
    • P. Metzner, M. Weber, and C. Schütte, Observation uncertainty in reversible Markov chains, Phys. Rev. E (3) 82 (2010), no. 3, Paper #031114. MR 2012a:60202 228
    • (2010) Phys. Rev. , vol.82 , Issue.3
    • Metzner, P.1    Weber, M.2    Schütte, C.3
  • 58
    • 84884311911 scopus 로고
    • Topics in nonsmooth mechanics, Birkhäuser, Basel
    • J.-J. Moreau, P. D. Panagiotopoulos, and G. Strang (eds.), Topics in nonsmooth mechanics, Birkhäuser, Basel, 1988.
    • (1988)
    • Moreau, J.-J.1    Panagiotopoulos, P.D.2    Strang, G.3
  • 59
    • 84884326247 scopus 로고    scopus 로고
    • National Center for Biotechnology Information, Saccharomyces cerevisiae chromosome I, complete sequence
    • National Center for Biotechnology Information, Saccharomyces cerevisiae chromosome I, complete sequence, http://www.ncbi.nlm.nih.gov/nuccore/144228165?report=graph&to=30000.
  • 60
    • 83455237763 scopus 로고    scopus 로고
    • Dominant paths between almost invariant sets of dynamical systems
    • preprint 154, Deusche Forschungsgemeinschaft Schwerpunktprogramm
    • R. Preis, M. Dellnitz, M. Hessel, C. Schütte, and E. Meerbach, Dominant paths between almost invariant sets of dynamical systems, preprint 154, Deusche Forschungsgemeinschaft Schwerpunktprogramm, 2004.
    • (2004)
    • Preis, R.1    Dellnitz, M.2    Hessel, M.3    Schütte, C.4    Meerbach, E.5
  • 63
    • 79251487708 scopus 로고    scopus 로고
    • Optimal allocation of a futures portfolio utilizing numerical market phase detection
    • MR 2011k:91171 Zbl 1198.91241
    • L. Putzig, D. Becherer, and I. Horenko, Optimal allocation of a futures portfolio utilizing numerical market phase detection, SIAM J. Financial Math. 1 (2010), 752-779. MR 2011k:91171 Zbl 1198.91241
    • (2010) SIAM J. Financial Math. , vol.1 , pp. 752-779
    • Putzig, L.1    Becherer, D.2    Horenko, I.3
  • 64
    • 0024610919 scopus 로고
    • A tutorial on hidden Markov models and selected applications in speech recognition
    • L. R. Rabiner, A tutorial on hidden Markov models and selected applications in speech recognition, Proc. IEEE 77 (1989), no. 2, 257-286.
    • (1989) Proc. IEEE , vol.77 , Issue.2 , pp. 257-286
    • Rabiner, L.R.1
  • 66
    • 0000573002 scopus 로고    scopus 로고
    • A direct approach to conformational dynamics based on hybrid Monte Carlo
    • MR 2000d:92004
    • C. Schütte, A. Fischer, W. Huisinga, and P. Deuflhard, A direct approach to conformational dynamics based on hybrid Monte Carlo, J. Comput. Phys.(1999), no. 1, 146-168. MR 2000d:92004
    • (1999) J. Comput. Phys. , Issue.1 , pp. 146-168
    • Schütte, C.1    Fischer, A.2    Huisinga, W.3    Deuflhard, P.4
  • 67
    • 13544266845 scopus 로고    scopus 로고
    • Biomolecular conformations can be identified as metastable sets of molecular dynamics
    • North-Holland, Amsterdam, MR 2008396 Zbl 1066.81658
    • C. Schütte and W. Huisinga, Biomolecular conformations can be identified as metastable sets of molecular dynamics, Handbook of numerical analysis, 10: Computational chemistry (C. Le Bris, ed.), North-Holland, Amsterdam, 2003, pp. 699-744. MR 2008396 Zbl 1066.81658
    • (2003) Handbook of numerical analysis, 10: Computational chemistry (C. Le Bris, ed.) , pp. 699-744
    • Schütte, C.1    Huisinga, W.2
  • 70
    • 0000779360 scopus 로고
    • Detecting strange attractors in turbulence, Dynamical systems and turbulence
    • Springer, Berlin, MR 83i:58065 Zbl 0513.58032
    • F. Takens, Detecting strange attractors in turbulence, Dynamical systems and turbulence, Warwick 1980 (D. A. Rand and L.-S. Young, eds.), Lecture Notes in Math., no. 898, Springer, Berlin, 1981, pp. 366-381. MR 83i:58065 Zbl 0513.58032
    • (1981) Warwick 1980 (D. A. Rand and L.-S. Young, eds.),Lecture Notes in Math. , vol.898 , pp. 366-381
    • Takens, F.1
  • 71
    • 0000418073 scopus 로고
    • On the stability of inverse problems
    • In Russian; translated in C. R. .Doklady/ Acad. Sci. URSS .N.S./ 39 (1943), no. 5, 176-179. MR 5,184e Zbl 0061.23308
    • A. N. Tikhonov, On the stability of inverse problems, Dokl. Akad. Nauk SSSR 39 (1943), no. 5, 195-198, In Russian; translated in C. R. .Doklady/ Acad. Sci. URSS .N.S./ 39 (1943), no. 5, 176-179. MR 5,184e Zbl 0061.23308
    • (1943) Dokl. Akad. Nauk SSSR , vol.39 , Issue.5 , pp. 195-198
    • Tikhonov, A.N.1
  • 73
    • 84884337780 scopus 로고    scopus 로고
    • U.S. Energy Information Administration, NYMEX futures prices
    • U.S. Energy Information Administration, NYMEX futures prices, http://tonto.eia.doe.gov/dnav/pet/pet_pri_fut_s1_d.htm.
  • 74
    • 0003241881 scopus 로고
    • Spline models for observational data
    • SIAM, Philadelphia,MR 91g:62028 Zbl 0813.62001
    • G. Wahba, Spline models for observational data, CBMS-NSF Regional Conference Series in Applied Mathematics, no. 59, SIAM, Philadelphia, 1990. MR 91g:62028 Zbl 0813.62001
    • (1990) CBMS-NSF Regional Conference Series in Applied Mathematics , pp. 59
    • Wahba, G.1
  • 75
    • 84884302804 scopus 로고    scopus 로고
    • Yahoo Finance, Dow Jones industrial average: historical prices
    • Yahoo Finance, Dow Jones industrial average: historical prices, http://finance.yahoo.com/q/hp?s=^DJI+Historical+Prices.
  • 76
    • 0000405372 scopus 로고
    • Calculation of maximum entropy distributions and approximation of marginal posterior distributions
    • MR 932140
    • A. Zellner and R. A. Highfield, Calculation of maximum entropy distributions and approximation of marginal posterior distributions, J. Econometrics 37 (1988), no. 2, 195-209. MR 932140
    • (1988) J. Econometrics , vol.37 , Issue.2 , pp. 195-209
    • Zellner, A.1    Highfield, R.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.