Imaging of structure at and near the core-mantle boundary using a generalized radon transform: 2. Statistical inference of singularities

Journal of Geophysical Research: Solid Earth

Volumn 112, Issue 8, 2007, Pages

  Ma, Ping ^a   Wang, P ^b   Tenorio, L ^c   de Hoop, M V ^d   van der Hilst, R D ^b  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^b MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^c Department of Metallurgical and Materials Engineering   (United States)

^d PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CORE-MANTLE BOUNDARY; IMAGING METHOD; RADON TRANSFORM; SEISMOGRAM; STATISTICAL ANALYSIS; WAVE VELOCITY;

CENTRAL AMERICA;

EID: 35348912573     PISSN: 21699313     EISSN: 21699356     Source Type: Journal    
DOI: 10.1029/2006JB004513     Document Type: Article

References (27)

1. Garnero, E. J. (2000), Heterogeneity of the lowermost mantle, Annu. Rev. Earth Planet. Sci., 28, 509-537.
2. Golub, G., and C. Van Loan (1989), Matrix Computations, 2nd ed., Johns Hopkins Univ. Press, Baltimore, Md.
3. Gu, C. (2002), Smoothing Spline ANOVA Models, Springer, New York.
4. Gu, C., and P. Ma (2005), Optimal smoothing in nonparametric mixed-effect models, Ann. Stat., 33, 1357-1379.
5. Guo, W. (2002), Functional mixed effects models, Biometrics, 58(1), 121-128.
6. Helmberger, D., T. Lay, S. Ni, and M. Gurnis (2005), Deep mantle structure and the postperovskite phase transition, Proc. Natl. Acad. Sci. U.S.A., 102, 17,257-17,263.
7. Kim, Y.-J., and C. Gu (2004), Smoothing spline Gaussian regression: More scalable computation via efficient approximation, J. R. Stat. Soc., Ser. B, 66, 337-356.
8. Lay, T., and D. V. Helmberger (1983), A shear velocity discontinuity in the lower mantle, Geophys. Res. Lett., 10, 63-66.
9. Ma, P. (2003), Nonparametric mixed-effects models, Ph.D. thesis, Purdue Univ., West Lafayette, Indiana.
10. 3, Science, 304, 855-858, doi:10.1126/science.1095932.
11. Nychka, D. (1988), Bayesian confidence intervals for smoothing splines, J. Am. Stat. Assoc., 83, 1134-1143.
12. 3 in Earth's D″ layer, Nature, 430, 445-448.
13. Pinheiro, J. C., and D. M. Bates (2000), Mixed-Effects Models in S and S-PLUS, Springer, New York.
14. Quinn, B., and J. Fernandes (1991), A fast efficient technique for the estimation of frequency, Biometrika, 78, 489-497.
15. Robinson, G. K. (1991), That BLUP is a good thing: The estimation of the random effects (with discussions), Stat. Sci., 6, 15-51.
16. Schimmel, M., and H. Paulssen (1997), Noise reduction and detection of weak, coherent signals through phase-weighted stacks, Geophys. J. Int., 130, 497-505.
17. 3 perovskite in the lower mantle, in Earth's Deep Mantle: Structure, Composition, and Evolution, Geophys. Monogr. Ser., vol. 160, edited by R. D. van der Hilst et al., pp. 261-282, AGU, Washington, D. C.
18. 3 perovskite to the core-mantle boundary, Geophys. Res. Lett., 31, L10603, doi:10.1029 /2004GL019639.
19. Sidorin, I., M. Gurnis, and D. V. Helmberger (1999), Evidence for a ubiquitous seismic discontinuity at the base of the mantle, Science, 286, 1326-1331.
20. Stolk, C. C., and M. V. De Hoop (2002), Microlocal analysis of seismic inverse scattering in anisotropic, elastic media, Commun. Pure Appl. Math., 55, 261-301.
21. Tromp, J., and A. M. Dziewonski (1998), Geoscience - Two views of the deep mantle, Science, 281, 655-656.
22. van der Hilst, R. D., M. De Hoop, P. Wang, S.-H. Shim, P. Ma, and L. Tenorio (2006), Seismo-stratigraphy and thermal structure of Earth's core-mantle boundary region, Science, 315, 1813-1817, doi:10.1126/ science.1137867.
23. Vonesh, E. F., and V. M. Chinchilli (1997), Linear and Nonlinear Models for the Analysis of Repeated Measurements, Marcel Dekker, New York.
24. Wahba, G. (1983), Bayesian "confidence intervals" for the cross-validated smoothing spline, J. R. Stat. Soc., Ser. B, 45, 133-150.
25. Wahba, G. (1990), Spline Models for Observational Data, CBMS-NSF Reg. Conf. Ser. Appl. Math., vol. 59, SIAM, Philadelphia, Pa.
26. Wang, P., M. V. de Hoop, R. D. van der Hilst, P. Ma, and L. Tenorio (2006), Imaging of structure at and near the core mantle boundary using a generalized radon transform: 1. Construction of image gathers, J. Geophys. Res., 111, B12304, doi:10.1029/2005JB004241.
27. Wang, Y. (1998), Mixed-effects smoothing spline ANOVA, J. R. Stat. Soc., Ser. B, 60, 159-174.