Benford's law in the natural sciences

Geophysical Research Letters

Volumn 37, Issue 22, 2010, Pages

  Sambridge, M ^a   Tkalcic H ^a   Jackson, A ^b  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

^b ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EARTHQUAKES; GAS EMISSIONS; GEOPHYSICS; NATURAL SCIENCES;

BENFORD'S LAW; EARTH'S GRAVITY; EXO-PLANETS; INFECTIOUS DISEASE; ROTATION FREQUENCIES; SEISMIC ENERGY; SEISMIC STRUCTURE; WORLD HEALTH ORGANIZATION;

GEOMAGNETISM;

DATA SET; EARTHQUAKE; GEOPHYSICAL METHOD; GREENHOUSE GAS; INFECTIOUS DISEASE; NUMERICAL MODEL; SEISMOGRAM; WORLD HEALTH ORGANIZATION;

EID: 78649507312     PISSN: 00948276     EISSN: None     Source Type: Journal    
DOI: 10.1029/2010GL044830     Document Type: Article

References (21)

1. Baumert, K. A., T. Herzog, and M. Markoff (2010), Climate Analysis Indicators Tool, version 7.0, World Resour. Inst., Washington, D. C. (Available at http://cait.wri.org/cait.php?page=yearly)
2. Benford, F. (1938), The law of anomalous numbers, Proc. Am Philos. Soc, 78(4), 551-572.
3. Cande, S. C, and D. V. Kent (1995), Revised calibration of the geomagnetic polarity timescale for the Late Cretaceous and Cenozoic, J. Geophys. Res., 100, 6093-6095.
4. Gorbatov, A., and B. L. N. Kennett (2003), Joint bulk-sound and shear tomography for western Pacific subduction zones, Earth Planet. Sci. Lett, 210, 527-543.
5. Hansen, J., M. Sato, R. Ruedy, K. Lo, D. W. Lea, and M. Medina-Elizade (1994), Global temperature change, Proc. Natl. Acad. Sci. U. S. A., 103, 14,288-14,293, doi:10.1073/pnas.0606291103.
6. Hill, T. P. (1995a), The significant-digit phenomenon, Am. Math. Mon., 102, 322-327.
7. Hill, T. P. (1995b), Base-invariance implies Benford's law, Proc. Am. Math. Soc, 123, 887-895.
8. Hill, T. P. (1995c), A statistical derivation of the significant-digit law, Stat. Sci., 10, 354-363.
9. Hill, T. P. (1998), The first-digit phenomenon, Am. Sci., 86, 358-363, doi:10.1511/1998.4.358.
10. Jackson, A., A. R. T. Jonkers, and M. R. Walker (2000), Four centuries of geomagnetic secular variation from historical records, Philos. Trans. R. Soc. London, 358, 957-990, doi:10.1098/rsta.2000.0569.
11. Knuth, D. E. (1968), The Art of Computer Programming, Addison-Wesley, Reading, Mass.
12. Ley, E. (1996), On the peculiar distribution of the U.S. stock indexes' digits, Am. Stat, 50, 311-314.
13. Manchester, R. N., G. B. Hobbs, A. Teoh, and M. Hobbs (2005), The Australia telescope national facility pulsar catalogue, Astrophys. J., 129, 1993-2006.
14. Mohr, P. J., B. N. Taylor, and D. B. Newell (2008), CODATA recommended values of fundamental physical constants: 2006, Rev. Mod. Phys., 80, 633-730.
15. Newcomb, S. (1881), Note on the frequency of use of different digits in natural numbers, Am. J. Math., 4, 39-40.
16. Nigrini, M. J. (1992), The detection of income evasion through an analysis of digital distributions, Ph.D. thesis, Dep. of Accounting, Univ. of Cincinnati, Cincinnati, Ohio.
17. Nigrini, M. J. (1996), A taxpayer compliance application of Benford's law, J. Am. Tax Assoc, 18, 72-91.
18. Nigrini, M. J., and S. J. Miller (2007), Benford's law applied to hydrology data-Results and relevance to other geophysical data, Math. Geol, 39, 469-490.
19. Schneider, J. (1999), The study of extrasolar planets: methods of detection, first discoveries and future perspectives, C. R. Acad. Sci. Paris, 327, 621.
20. Tapley, B., et al. (2005), GGM02-An improved earth gravity field model from GRACE, J. Geod., 79, 467-478, doi:10.1007/s00190-005-0480-z.
21. World Health Organization (2009), World Health Statistics 2009, WHO Press, Geneva, Switzerland.