Maximum likelihood solution for inclination-only data in paleomagnetism

Geophysical Journal International

Volumn 182, Issue 2, 2010, Pages 753-771

  Arason, P ^a   Levi, S ^b  

^a ICELANDIC METEOROLOGICAL OFFICE   (Iceland)

^b OREGON STATE UNIVERSITY   (United States)

Author keywords

Numerical approximations and analysis; Probability distributions

Indexed keywords

ARITHMETIC MEAN; DATA SETS; DISTRIBUTED DATA; LIKELIHOOD FUNCTIONS; LOG-LIKELIHOOD FUNCTIONS; MAXIMUM LIKELIHOOD FUNCTION; MAXIMUM LIKELIHOOD METHODS; NUMERICAL APPROXIMATIONS; NUMERICAL INSTABILITY; PALEOMAGNETIC ANALYSIS; PARAMETER SPACES; PARTIAL DERIVATIVES; PRECISION PARAMETER;

ESTIMATION; EXPONENTIAL FUNCTIONS; GEOMAGNETISM; PROBABILITY;

MAXIMUM LIKELIHOOD;

ACCURACY ASSESSMENT; DATA SET; MAGNETIC INCLINATION; MAXIMUM LIKELIHOOD ANALYSIS; NUMERICAL METHOD; NUMERICAL MODEL; PALEOMAGNETISM; PROBABILITY; RELIABILITY ANALYSIS;

EID: 77955156389     PISSN: 0956540X     EISSN: 1365246X     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2010.04671.x     Document Type: Article

References (22)

1. Arason P. Paleomagnetic inclination shallowing in deep-sea sediments 1991, 363. PhD thesis, Oregon State University, Corvallis, Oregon, U.S.A., pp
2. Arason P, Levi S. Comparison of Statistical Methods in the Analysis of Inclinations-Only Paleomagnetic Data 1995, A182-A183. http://www.vedur.is/~arason/paleomag/iugg95.pdf, International Union of Geodesy and Geophysics, XXI General Assembly, Boulder, Colorado, USA, 2-14 July 1995, Abstracts Week A
3. Arason P, Levi S. Intrinsic bias in averaging paleomagnetic data. J. Geomag. Geoelectr. 1997, 49:721-726.
4. Briden JC, Ward MA. Analysis of magnetic inclinations in borecores. Pure appl. Geophys. 1966, 63:133-152.
5. Clark RM. Estimation of parameters in the marginal Fisher distribution. Austr. J. Stat. 1983, 25:227-237.
6. Clark RM. An evaluation by simulation of alternative estimators for the marginal Fisher distribution. J. appl. Stat. 1988, 15:235-246.
7. Cox A, Gordon RG. Paleolatitudes determined from paleomagnetic data from vertical cores. Rev. Geophys. 1984, 22:47-72.
8. Enkin RJ, Watson GS. Statistical analysis of palaeomagnetic inclination data. Geophys. J. Int. 1996, 126:495-504.
9. Fisher R. Dispersion on a sphere. Proc. R. Soc. London, Ser. A 1953, 217:295-305.
10. Fisher NI, Lewis T, Embleton BJJ. Statistical Analysis of Spherical Data 1987, 329. pp, Cambridge Univ. Press, London
11. Gradshteyn IS, Ryzhik IM. Table of Integrals, Series, and Products 1980, 1160. Academic Press, Orlando, pp
12. Harrison CGA. The paleomagnetic record from deep-sea sediment cores. Earth Sci. Rev. 1974, 10:1-36.
13. Harrison CGA. Latitudinal signature of Earth's magnetic field variation over the last 5 million years. Geochem. Geophys. Geosyst. 2009, 10:Q02012. 10.1029/2008GC002298, doi
14. Kono M. Statistics of paleomagnetic inclination data. J. geophys. Res. 1980, 85:3878-3882.
15. Langevin P. Magnétisme et théorie des électrons (in French). Ann. Chim. Phys. 1905, 5:70-127.
16. Levi S, Arason P. Comparisons of Inclination-only Statistical Methods 2006, http://www.vedur.is/~arason/paleomag/agu2006_comp.pdf, American Geophysical Union, Fall Meeting, San Francisco, California, USA, 11-15 December 2006, Eos Trans. AGU, (52), Fall Meet. Suppl., Abstract GP21B-1313
17. McElhinny MW, McFadden PL. Paleomagnetism: Continents and Oceans 2000, 386. Academic Press, New York, pp
18. McFadden PL, Reid AB. Analysis of paleomagnetic inclination data. Geophys. J. R. astr. Soc. 1982, 69:307-319.
19. Olver FWJ. Chapter 9. Bessel functions of integer order. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables 1972, 1047. http://www.math.sfu.ca/~cbm/aands/toc.htm, Abramowitz MStegun IA. in, ed, Dover Publications, Mineola, pp
20. Peirce JW. Assessing the reliability of DSDP paleolatitudes. J. geophys. Res. 1976, 81:4173-4187.
21. Press WH, Flannery BP, Teukolsky SA, Vetterling WT. Numerical Recipes, The Art of Scientific Computing (Fortran version) 1989, 702. Cambridge University Press, Cambridge, pp
22. Westphal M, Gurevitch EL, Pozzi JP. On the estimation of the true mean inclinations when declinations are unknown. Geophys. Res. Lett. 1998, 25:1569-1572.