메뉴 건너뛰기




Volumn 127, Issue 3, 1996, Pages 744-756

Statistics and geometry of the eigenspectra of three-dimensional second-rank symmetric random tensors

Author keywords

Geostatistics; Spectral analysis

Indexed keywords

GEOSTATISTICS; SPECTRAL ANALYSIS; STRAIN; STRESS;

EID: 0030440363     PISSN: 0956540X     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1365-246X.1996.tb04053.x     Document Type: Article
Times cited : (32)

References (42)
  • 3
    • 0019913246 scopus 로고
    • Inversion of field data in fault tectonics to obtain the regional stress - I. Single phase fault populations: A new method of computing the stress tensor
    • Angelier, J., Tarantola, A., Vallete, B. & Manoussis, S., 1982. Inversion of field data in fault tectonics to obtain the regional stress - I. Single phase fault populations: a new method of computing the stress tensor, Geophys. J. R. astr. Soc., 69, 607-621.
    • (1982) Geophys. J. R. Astr. Soc. , vol.69 , pp. 607-621
    • Angelier, J.1    Tarantola, A.2    Vallete, B.3    Manoussis, S.4
  • 4
    • 0002256849 scopus 로고
    • Relative curvature measures of nonlinearity
    • Bates, D.M. & Watts, D.G., 1980. Relative curvature measures of nonlinearity (with discussions), J. R. statist. Soc., B42, 1-25.
    • (1980) J. R. Statist. Soc. , vol.B42 , pp. 1-25
    • Bates, D.M.1    Watts, D.G.2
  • 6
    • 0002115313 scopus 로고
    • Confidence regions in non-linear estimation
    • Beale, E.M.L., 1960. Confidence regions in non-linear estimation (with discussions), J. R. statist. Soc., B22, 41-88.
    • (1960) J. R. Statist. Soc. , vol.B22 , pp. 41-88
    • Beale, E.M.L.1
  • 7
    • 0000692749 scopus 로고
    • Bias in nonlinear estimation
    • Box, M.J., 1971. Bias in nonlinear estimation (with discussions), J. R. statist. Soc., B33, 171-201.
    • (1971) J. R. Statist. Soc. , vol.B33 , pp. 171-201
    • Box, M.J.1
  • 8
    • 0020176713 scopus 로고
    • On the strain analysis of tectonic movements using fault crossing geodetic surveys
    • Chrzanowski, A., Chen, Y.Q. & Secord, J.M., 1983. On the strain analysis of tectonic movements using fault crossing geodetic surveys, Tectonophysics, 97, 297-315.
    • (1983) Tectonophysics , vol.97 , pp. 297-315
    • Chrzanowski, A.1    Chen, Y.Q.2    Secord, J.M.3
  • 10
    • 0011453455 scopus 로고
    • Moments of the least squares estimators in a non-linear regression model
    • Clarke, G.P.Y., 1980. Moments of the least squares estimators in a non-linear regression model, J. R. statist. Soc., B42, 227-237.
    • (1980) J. R. Statist. Soc. , vol.B42 , pp. 227-237
    • Clarke, G.P.Y.1
  • 12
    • 0021642283 scopus 로고
    • An improved method for determining the regional stress tensor using earthquake focal mechanism data: Application to the San Fernando earthquake sequence
    • Gephart, J. & Forsyth, D., 1984. An improved method for determining the regional stress tensor using earthquake focal mechanism data: application to the San Fernando earthquake sequence, J. geophys. Res., B89, 9305-9320.
    • (1984) J. Geophys. Res. , vol.B89 , pp. 9305-9320
    • Gephart, J.1    Forsyth, D.2
  • 13
    • 0026445291 scopus 로고
    • A seismotectonic model for Western Hawaii based on stress tensor inversion from fault plane solutions
    • Gillard, D., Wyss, M. & Nakata, J., 1992. A seismotectonic model for Western Hawaii based on stress tensor inversion from fault plane solutions, J. geophys., Res., B97, 6629-6641.
    • (1992) J. Geophys., Res. , vol.B97 , pp. 6629-6641
    • Gillard, D.1    Wyss, M.2    Nakata, J.3
  • 14
    • 3342904231 scopus 로고
    • Distribution of eigenvalues and eigenvectors of hermitian stochastic matrices
    • Girko, V.L., 1979. Distribution of eigenvalues and eigenvectors of hermitian stochastic matrices, Ukrain. Math. J., 31, 421-424.
    • (1979) Ukrain. Math. J. , vol.31 , pp. 421-424
    • Girko, V.L.1
  • 15
    • 84956139141 scopus 로고
    • Spectral theory of random matrices
    • Girko, V.L., 1985. Spectral theory of random matrices, Russian Math. Surveys, 40, 77-120.
    • (1985) Russian Math. Surveys , vol.40 , pp. 77-120
    • Girko, V.L.1
  • 16
    • 0001261930 scopus 로고
    • Six lectures on geodesy and global geodynamics
    • eds Moritz, H. & Sünkel H., Mitt. Geod. Inst. Techn. Uni. Graz, 41
    • Grafarend, E., 1982. Six lectures on geodesy and global geodynamics, in Lecture Notes, pp. 531-685, eds Moritz, H. & Sünkel H., Mitt. Geod. Inst. Techn. Uni. Graz, 41.
    • (1982) Lecture Notes , pp. 531-685
    • Grafarend, E.1
  • 18
    • 0026465418 scopus 로고
    • Geometric analysis of finite strain tensors in tectono-deformation mechanics
    • Han, Y.Y., 1992. Geometric analysis of finite strain tensors in tectono-deformation mechanics, Sc. China, B35, 102-116.
    • (1992) Sc. China , vol.B35 , pp. 102-116
    • Han, Y.Y.1
  • 20
    • 0025660704 scopus 로고
    • Random stress and earthquake statistics: Spatial dependence
    • Kagan, Y.Y., 1990. Random stress and earthquake statistics: spatial dependence, Geophys. J. Int., 102, 573-583.
    • (1990) Geophys. J. Int. , vol.102 , pp. 573-583
    • Kagan, Y.Y.1
  • 21
    • 0026082280 scopus 로고
    • Likelihood analysis of earthquake catalogues
    • Kagan, Y.Y., 1991. Likelihood analysis of earthquake catalogues, Geophys. J. Int., 106, 135-148.
    • (1991) Geophys. J. Int. , vol.106 , pp. 135-148
    • Kagan, Y.Y.1
  • 22
    • 0026451981 scopus 로고
    • Correlations of earthquake focal mechanisms
    • Kagan, Y.Y., 1992. Correlations of earthquake focal mechanisms, Geophys. J. Int., 110, 305-320.
    • (1992) Geophys. J. Int. , vol.110 , pp. 305-320
    • Kagan, Y.Y.1
  • 23
    • 84986384811 scopus 로고
    • The first order statistical moment of the seismic moment tensor
    • Kagan, Y.Y. & Knopoff, L., 1985. The first order statistical moment of the seismic moment tensor, Geophys. J. R. astr. Soc., 81, 429-444.
    • (1985) Geophys. J. R. Astr. Soc. , vol.81 , pp. 429-444
    • Kagan, Y.Y.1    Knopoff, L.2
  • 24
    • 0141437031 scopus 로고
    • On horizontal crustal strain in Finland
    • Kakkuri, J. & Chen, R., 1992. On horizontal crustal strain in Finland, Bull. Geod., 66, 12-20.
    • (1992) Bull. Geod. , vol.66 , pp. 12-20
    • Kakkuri, J.1    Chen, R.2
  • 26
    • 0026302213 scopus 로고
    • Moment tensor inversion of local earthquake data - I. Investigation of the method and its numerical stability with model calculations
    • Kock, K., 1991. Moment tensor inversion of local earthquake data - I. Investigation of the method and its numerical stability with model calculations, Geophys. J. Int., 106, 305-319.
    • (1991) Geophys. J. Int. , vol.106 , pp. 305-319
    • Kock, K.1
  • 27
    • 0026463598 scopus 로고
    • New method of estimating regional stress orientations: Application to focal mechanism data of recent British earthquakes
    • Lisle, R., 1992. New method of estimating regional stress orientations: application to focal mechanism data of recent British earthquakes, Geophys. J. Int., 110, 276-282.
    • (1992) Geophys. J. Int. , vol.110 , pp. 276-282
    • Lisle, R.1
  • 28
    • 0027084896 scopus 로고
    • 3-D subsurface displacement and strain fields for faults and fault arrays in a layered elastic half-space
    • Ma, X.Q. & Kusznir, N.J., 1992. 3-D subsurface displacement and strain fields for faults and fault arrays in a layered elastic half-space, Geophys. J. Int., 111, 542-558.
    • (1992) Geophys. J. Int. , vol.111 , pp. 542-558
    • Ma, X.Q.1    Kusznir, N.J.2
  • 31
    • 0027066706 scopus 로고
    • A formulation for reliable estimation of active crustal deformation and its application to central Greece
    • Papazachos, C. & Kiratzi, A., 1992. A formulation for reliable estimation of active crustal deformation and its application to central Greece, Geophys. J. Int., 111, 424-432.
    • (1992) Geophys. J. Int. , vol.111 , pp. 424-432
    • Papazachos, C.1    Kiratzi, A.2
  • 34
    • 0026613369 scopus 로고
    • Modern tectonic stress field in the Mediterranean region: Evidence for variation in stress directions at different scales
    • Rebai, S., Philip, H. & Taboada, A., 1992. Modern tectonic stress field in the Mediterranean region: evidence for variation in stress directions at different scales, Geophys. J. Int., 110, 106-140.
    • (1992) Geophys. J. Int. , vol.110 , pp. 106-140
    • Rebai, S.1    Philip, H.2    Taboada, A.3
  • 35
    • 0027036367 scopus 로고
    • Geodetic determination of crustal deformation across the Strait of Gibraltar
    • Reilly, W., Fredrich, G., Hein, G., Landau, H., Almazan, J. & Caturla, 1992. Geodetic determination of crustal deformation across the Strait of Gibraltar, Geophys. J. Int., 111, 391-398.
    • (1992) Geophys. J. Int. , vol.111 , pp. 391-398
    • Reilly, W.1    Fredrich, G.2    Hein, G.3    Landau, H.4    Almazan, J.5    Caturla6
  • 36
    • 0004242197 scopus 로고
    • John Wiley & Sons, New York, NY
    • Searle, S.R., 1971. Linear Models, John Wiley & Sons, New York, NY.
    • (1971) Linear Models
    • Searle, S.R.1
  • 39
    • 0025952323 scopus 로고
    • On covariances of eigenvalues and eigenvectors of second rank symmetric tensors
    • Soler, T. & van Gelder, B., 1991. On covariances of eigenvalues and eigenvectors of second rank symmetric tensors, Geophys. J. Int., 105, 537-546.
    • (1991) Geophys. J. Int. , vol.105 , pp. 537-546
    • Soler, T.1    Van Gelder, B.2
  • 40
    • 0026470058 scopus 로고
    • Comparison of orientations of stress and strain tensors based on fault plane solutions in Kaoiki, Hawaii
    • Wyss, M., Liang, B.Y., Tanagawa, W. & Wu, X., 1992. Comparison of orientations of stress and strain tensors based on fault plane solutions in Kaoiki, Hawaii, J. geophys. Res., B97, 4769-4790.
    • (1992) J. Geophys. Res. , vol.B97 , pp. 4769-4790
    • Wyss, M.1    Liang, B.Y.2    Tanagawa, W.3    Wu, X.4
  • 41
    • 3342937346 scopus 로고
    • Variance-covariance propagation for a nonlinear function
    • Xu, P.L., 1986. Variance-covariance propagation for a nonlinear function, J. Wuhan Techn. Uni. Surv. Mapping, 11, 92-99.
    • (1986) J. Wuhan Techn. Uni. Surv. Mapping , vol.11 , pp. 92-99
    • Xu, P.L.1
  • 42
    • 0030453685 scopus 로고    scopus 로고
    • Probability distribution of eigenspectra and eigendirections of a twodimensional, symmetric rank two random tensor
    • Xu, P.L. & Grafarend, E., 1996. Probability distribution of eigenspectra and eigendirections of a twodimensional, symmetric rank two random tensor, J. Geod., 70, 419-430.
    • (1996) J. Geod. , vol.70 , pp. 419-430
    • Xu, P.L.1    Grafarend, E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.