메뉴 건너뛰기




Volumn 115, Issue 10, 2005, Pages 1723-1743

Regularity of digits and significant digits of random variables

Author keywords

Benford's law; Digit regular random variable; Floating point numbers; Law of least significant digits; Nonleading digits; Normal numbers; Significant digits; Significant digit regular random variable; Trailing digits

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; FOURIER TRANSFORMS; PROBABILITY;

EID: 24144485809     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spa.2005.05.003     Document Type: Article
Times cited : (9)

References (16)
  • 3
    • 33645592066 scopus 로고    scopus 로고
    • private communications, 2003
    • E. Croot, private communications, 2003, 2004.
    • (2004)
    • Croot, E.1
  • 6
    • 0016939259 scopus 로고
    • Convergence estimates for the distribution of trailing digits
    • A. Feldstein R. Goodman Convergence estimates for the distribution of trailing digits J. Assoc. Comput. Mach. 23 1976 287-297
    • (1976) J. Assoc. Comput. Mach. , vol.23 , pp. 287-297
    • Feldstein, A.1    Goodman, R.2
  • 7
    • 84972541029 scopus 로고    scopus 로고
    • A statistical derivation of the significant-digit law
    • T. Hill A statistical derivation of the significant-digit law Statist. Sci. 10 1996 354-363
    • (1996) Statist. Sci. , vol.10 , pp. 354-363
    • Hill, T.1
  • 8
    • 33645586798 scopus 로고
    • Sur la répartition de la partie fractionnaire d'une variable aléatoire
    • P. Kosulajeff Sur la répartition de la partie fractionnaire d'une variable aléatoire Mat. Sb. 2 1937 1017-1019
    • (1937) Mat. Sb. , vol.2 , pp. 1017-1019
    • Kosulajeff, P.1
  • 9
    • 84974307309 scopus 로고
    • Mixing and asymptotic distribution modulo 1
    • R. Lyons Mixing and asymptotic distribution modulo 1 Ergod. Theory Dynam. Systems 8 1988 597-619
    • (1988) Ergod. Theory Dynam. Systems , vol.8 , pp. 597-619
    • Lyons, R.1
  • 10
    • 51249178044 scopus 로고
    • On measures simultaneously 2- and 3-invariant
    • R. Lyons On measures simultaneously 2- and 3-invariant Israel J. Math. 61 1988 219-224
    • (1988) Israel J. Math. , vol.61 , pp. 219-224
    • Lyons, R.1
  • 11
    • 33645599978 scopus 로고    scopus 로고
    • private communications
    • R. Lyons private communications, 2004.
    • (2004)
    • Lyons, R.1
  • 13
    • 84972540499 scopus 로고
    • On normal numbers
    • W. Schmidt On normal numbers Pacific J. Math. 10 1960 661-672
    • (1960) Pacific J. Math. , vol.10 , pp. 661-672
    • Schmidt, W.1
  • 14
    • 33645594776 scopus 로고
    • On the examination of final digits by experiments in artificial sampling
    • C. Sun On the examination of final digits by experiments in artificial sampling Biometrika 20 1928 14-68
    • (1928) Biometrika , vol.20 , pp. 14-68
    • Sun, C.1
  • 15
    • 0006235351 scopus 로고
    • On reading a scale
    • G. Yule On reading a scale J. Roy. Statist. Soc. 90 1927 570-587
    • (1927) J. Roy. Statist. Soc. , vol.90 , pp. 570-587
    • Yule, G.1
  • 16
    • 84953751498 scopus 로고
    • Cambridge University Press, Cambridge
    • A. Zygmund, Trigonometric Series, vol. I, Cambridge University Press, Cambridge, 1968.
    • (1968) Trigonometric Series , vol.1
    • Zygmund, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.