Tidal Data Analysis and Information Criteria.
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Accession number;01A0565426
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| Title;Tidal Data Analysis and Information Criteria. |
| Author;
ISHIGURO M
(Inst. Statistical Mathematics, Tokyo, Jpn)
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Journal Title;Journal of the Geodetic Society of Japan
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Journal Code:G0199A
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ISSN:0038-0830
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VOL.47;NO.1;PAGE.273-280(2001)
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| Figure&Table&Reference; |
| Pub. Country;Japan |
| Language;English |
| Abstract;In the field of Earth science, there is a problem of decomposition of tidal data. we published a Bayesian tidal analysis program, BAYTAP-G about 15 years ago. BAYTAP-G decomposes given series into four components, drift component air pressure effect component, tidal component and residual. There are at least two different purposes of the decomposition. For scientists who are interested in the global response of Earth to lunar-solar force, the necessary information is contained in the tidal component and the drift component is noise. On the other hand, for scientists who are interested in the local crustal movement, the information is contained in the drift component and the tidal component is noise. BAYTAP-G can be used by both types of scientist but uses one and the same Information Criterion, Akaike Bayesian Information Criterion ABIC, to evaluate the goodness of the decomposition, regardless of the difference in the purpose of the analysis. ABIC is a statistics used to evaluate the goodness of Bayesian model fitted to given data. The use of ABIC in this context is justified because the decomposition can be regarded as a Bayesian procedure in the framework of Bayesian statistics. The decomposition procedure employed in BAYTAP-G, however, has other interpretations. The procedure can be regarded as a special case of penalized log likelihood maximization procedure. Under this interpretation, there is a possibility of criteria for the evaluation of the goodness of the decomposition which take the purpose of the analysis into the consideration. The present paper demonstrates the necessity and the possibility of such criteria based on a simulation study of the tidal analysis. (author abst.) |
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