Discussion on the rank deficiency of the representation matrix of the smoothing constraint in inversion methods using a Bayesian Information Criterion

Journal of the Geodetic Society of Japan

Volumn 55, Issue 4, 2009, Pages 345-353

  Iinuma, Takeshi ^a  

^a TOHOKU UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

BAYESIAN ANALYSIS; BOUNDARY CONDITION; DATA INVERSION; DISPLACEMENT; ESTIMATION METHOD; MATRIX; PLATE BOUNDARY; PROBABILITY DENSITY FUNCTION; SMOOTHING;

EID: 77951625246     PISSN: 00380830     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (14)

1. Akaike, H. (1977) : On entropy maximization principle, In Application of Statistics edited by P. R. Krishnaiah, North-Holland Publishing Company, Amsterdam, Netherlands, 27-41.
2. Akaike, H. (1980) : Likelihood and the Bayes procedure, In Bayesian Statistics edited by J. M. Bernardo, M. H. DeGroot, D. V. Lindley, and A. F. M. Smith, University Press, Valencia, Spain, 143-166.
3. El-Fiky G. S., and T. Kato (1999) : Interplate coupling in the Tohoku district, Japan, deduced from geodetic data inversion. J. Geophys. Res., 104, 20, 361-20, 377. (Pubitemid 30031679)
4. Fukuda, J., and KM. Johnson (2008) : A fully Bayesian inversion for spatial distribution of fault slip with objective smoothing, Bull. Seismol. Soc. Am., 98, 1, 128-1, 146. (Pubitemid 351902779)
5. Ide, S., M. Takeo, and Y. Yoshida (1996) : Source process of the 1995 Kobe earthquake: Determination of spatio-temporal slip distribution by Bayesian modeling, Bull. Seismol. Soc. Am., 86, 547-566. (Pubitemid 27269750)
6. Iinuma, T., Y. Ohta, S. Miura, K. Tachibana, T. Matsushima, H. Takahashi, T. Sagiya, T. Ito, S. Miyazaki, R. Doke, A. Takeuchi, K. Miyao, A. Hirao, T. Maeda, T. Yamaguchi, M. Takada, M. Iwakuni, T. Ochi, I. Meilano, and A. Hasegawa (2008) : Postseismic slip associated with the 2007 Chuetsu-oki, Niigata, Japan, Earthquake (M 6.8 on 16 July 2007) as inferred from GPS data, Earth Planets Space, 60, 1, 087-1, 091.
7. Matsu'ura, M., A. Noda, and Y. Fukahata (2007) : Geodetic data inversion based on bayesian formulation with direct and indirect prior information, Geophys. J. Int., 171, 1, 342-1, 351. (Pubitemid 350142203)
8. Miura, S., T. Iinuma, S. Yui, N. Uchida, T. Sato, K. Tachibana, and A. Hasegawa (2006) : Co-and post-seismic slip associated with the 2005 Miyagi-oki earthquake (M7.2) as inferred from GPS data, Earth Planets Space, 58, 1, 567-1, 572. (Pubitemid 46464129)
9. Miura, S., Y. Suwa, A. Hasegawa, and T. Nishimura (2004) : The 2003 M8.0 Tokachi-Oki earthquake - How much has the great event paid back slip debts?, Geophys. Res. Lett., 31, L05613. (Pubitemid 38616558)
10. Ohta, Y., M. Ohzono, S. Miura, T. Iinuma, K. Tachibana, K. Takatsuka, K. Miyao, T. Sato, and N. Umino (2008) : Coseismic fault model of the 2008 Iwate-Miyagi Nairiku earthquake deduced by a dense GPS network, Earth Planets Space, 60, 1, 197-1, 201.
11. Suwa, Y., S. Miura, A. Hasegawa, T. Sato, and K. Tachibana (2006) : Interplate coupling beneath NE Japan inferred from three dimensional displacement field, J. Geophys. Res., 111, B04402. (Pubitemid 43842377)
12. Yabuki, T., and M. Matsu'ura (1992) : Geodetic data inversion using a Bayesian information criterion for spatial distribution of fault slip, Geophys. J. Int., 109, 363-375.
13. Yagi, Y., and M. Kikuchi (2003) : Partitioning between seismogenic and aseismic slip as highlighted from slow slip events in Hyuga-nada, Japan, Geophys. Res. Lett., 30, 1087. (Pubitemid 36832646)
14. Yoshioka, S., T. Yabuki, T. Sagiya, T. Tada, and M. Matsu'ura (1993) : Interplate coupling and relative plate motion in the Tokai district, central Japan, deduced from geodetic data inversion using ABIC, Geophys. J. Int., 113, 607-621. (Pubitemid 24429364)