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Volumn 2008, Issue , 2008, Pages

Order statistics and benford's law

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EID: 58149518611     PISSN: 01611712     EISSN: 16870425     Source Type: Journal    
DOI: 10.1155/2008/382948     Document Type: Article
Times cited : (26)

References (32)
  • 2
    • 0001718673 scopus 로고    scopus 로고
    • "The first-digit phenomenon"
    • T. Hill, "The first-digit phenomenon," American Scientists, vol. 86, pp. 358-363, 1996.
    • (1996) American Scientists , vol.86 , pp. 358-363
    • Hill, T.1
  • 3
    • 0001295471 scopus 로고
    • "The first digit problem"
    • R. A. Raimi, "The first digit problem," The American Mathematical Monthly, vol. 83, no. 7, pp. 521-538, 1976.
    • (1976) The American Mathematical Monthly , vol.83 , Issue.7 , pp. 521-538
    • Raimi, R.A.1
  • 5
    • 12744275247 scopus 로고
    • "Modulo one uniform distribution of the sequence of logarithms of certain recursive sequences"
    • J. L. Brown Jr. and R. L. Duncan, "Modulo one uniform distribution of the sequence of logarithms of certain recursive sequences," The Fibonacci Quarterly, vol. 8, no. 5, pp. 482-486, 1970.
    • (1970) The Fibonacci Quarterly , vol.8 , Issue.5 , pp. 482-486
    • Brown Jr., J.L.1    Duncan, R.L.2
  • 6
    • 0002417821 scopus 로고
    • "The distribution of leading digits and uniform distribution mod1"
    • P. Diaconis, "The distribution of leading digits and uniform distribution mod1," The Annals of Probability, vol. 5, no. 1, pp. 72-81, 1977.
    • (1977) The Annals of Probability , vol.5 , Issue.1 , pp. 72-81
    • Diaconis, P.1
  • 7
    • 84972541029 scopus 로고
    • "A statistical derivation of the significant-digit law"
    • T. P. Hill, "A statistical derivation of the significant-digit law," Statistical Science, vol. 10, no. 4, pp. 354-363, 1995.
    • (1995) Statistical Science , vol.10 , Issue.4 , pp. 354-363
    • Hill, T.P.1
  • 9
    • 34547206747 scopus 로고    scopus 로고
    • "Newton's method obeys Benford's law"
    • A. Berger and T. P. Hill, "Newton's method obeys Benford's law," American Mathematical Monthly, vol. 114, no. 7, pp. 588-601, 2007.
    • (2007) American Mathematical Monthly , vol.114 , Issue.7 , pp. 588-601
    • Berger, A.1    Hill, T.P.2
  • 11
    • 33645139599 scopus 로고    scopus 로고
    • "Benford's law, values of L-functions and the 3 + 1 problem"
    • A. V. Kontorovich and S. J. Miller, "Benford's law, values of L-functions and the 3 + 1 problem," Acta Arithmetica, vol. 120, no. 3, pp. 269-297, 2005.
    • (2005) Acta Arithmetica , vol.120 , Issue.3 , pp. 269-297
    • Kontorovich, A.V.1    Miller, S.J.2
  • 13
    • 58149490325 scopus 로고    scopus 로고
    • "The modulo 1 central limit theorem and Benford's law for products"
    • S. J. Miller and M. J. Nigrini, "The modulo 1 central limit theorem and Benford's law for products," International Journal of Algebra, vol. 2, no. 1-4, pp. 119-130, 2008.
    • (2008) International Journal of Algebra , vol.2 , Issue.1-4 , pp. 119-130
    • Miller, S.J.1    Nigrini, M.J.2
  • 14
    • 40749090017 scopus 로고    scopus 로고
    • "Benford's law and complex atomic spectra"
    • Article ID 012102, 3 pages
    • J.-C. Pain, "Benford's law and complex atomic spectra," Physical Review E, vol. 77, no. 1, Article ID 012102, 3 pages, 2008.
    • (2008) Physical Review E , vol.77 , Issue.1
    • Pain, J.-C.1
  • 15
    • 46149091056 scopus 로고    scopus 로고
    • "The number of cells in colonies of the cyanobacterium Microcystis aeruginosa satisfies Benford's law"
    • E. Costas, V. López-Rodas, F. J. Toro, and A. Flores-Moya, "The number of cells in colonies of the cyanobacterium Microcystis aeruginosa satisfies Benford's law," Aquatic Botany, vol. 89, no. 3, pp. 341-343, 2008.
    • (2008) Aquatic Botany , vol.89 , Issue.3 , pp. 341-343
    • Costas, E.1    López-Rodas, V.2    Toro, F.J.3    Flores-Moya, A.4
  • 16
    • 34548737045 scopus 로고    scopus 로고
    • "Benford's Law applied to hydrology data - Results and relevance to other geophysical data"
    • M. Nigrini and S. J.Miller, "Benford's Law applied to hydrology data - results and relevance to other geophysical data," Mathematical Geology, vol. 39, no. 5, pp. 469-490, 2007.
    • (2007) Mathematical Geology , vol.39 , Issue.5 , pp. 469-490
    • Nigrini, M.1    Miller, S.J.2
  • 18
    • 56049115008 scopus 로고    scopus 로고
    • "Digital analysis and the reduction of auditor litigation risk"
    • in M. Ettredge, Ed., University of Kansas, Lawrence, Kan, USA
    • M. Nigrini, "Digital analysis and the reduction of auditor litigation risk," in Proceedings of the Deloitte & Touche/ University of Kansas Symposium on Auditing Problems, M. Ettredge, Ed., pp. 69-81, University of Kansas, Lawrence, Kan, USA, 1996.
    • (1996) Proceedings of the Deloitte & Touche/University of Kansas Symposium on Auditing Problems , pp. 69-81
    • Nigrini, M.1
  • 19
    • 17144397597 scopus 로고    scopus 로고
    • "The use of Benford's law as an aid in analytical procedures"
    • M. Nigrini, "The use of Benford's law as an aid in analytical procedures," Auditing: A Journal of Practice & Theory, vol. 16, no. 2, pp. 52-67, 1997.
    • (1997) Auditing: A Journal of Practice & Theory , vol.16 , Issue.2 , pp. 52-67
    • Nigrini, M.1
  • 20
    • 58149509288 scopus 로고    scopus 로고
    • "Election forensics: The second-digit Benford's law test and recent American presidential elections"
    • in Presented at the Salt Lake City, Utah, USA, September
    • W. R. Mebane Jr., "Election forensics: The second-digit Benford's law test and recent American presidential elections," in Presented at the Election Fraud Conference, Salt Lake City, Utah, USA, September 2006.
    • (2006) Election Fraud Conference
    • Mebane Jr., W.R.1
  • 21
    • 58149505230 scopus 로고    scopus 로고
    • "Data diagnostics using second order tests of Benford's law"
    • preprint
    • M. Nigrini and S. J. Miller, "Data diagnostics using second order tests of Benford's law," preprint.
    • Nigrini, M.1    Miller, S.J.2
  • 22
    • 0034556676 scopus 로고    scopus 로고
    • "Survival distributions satisfying Benford's law"
    • L. M. Leemis, B.W. Schmeiser, and D. L. Evans, "Survival distributions satisfying Benford's law," The American Statistician, vol. 54, no. 4, pp. 236-241, 2000.
    • (2000) The American Statistician , vol.54 , Issue.4 , pp. 236-241
    • Leemis, L.M.1    Schmeiser, B.W.2    Evans, D.L.3
  • 23
    • 0037632943 scopus 로고    scopus 로고
    • "Benford's law for exponential random variables"
    • H.-A. Engel and C. Leuenberger, "Benford's law for exponential random variables," Statistics & Probability Letters, vol. 63, no. 4, pp. 361-365, 2003.
    • (2003) Statistics & Probability Letters , vol.63 , Issue.4 , pp. 361-365
    • Engel, H.-A.1    Leuenberger, C.2
  • 24
    • 0000109243 scopus 로고
    • "On the distribution of first significant digits"
    • R. S. Pinkham, "On the distribution of first significant digits," Annals of Mathematical Statistics, vol. 32, pp. 1223-1230, 1961.
    • (1961) Annals of Mathematical Statistics , vol.32 , pp. 1223-1230
    • Pinkham, R.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.