An invariant-sum characterization of Benford's law

Journal of Applied Probability

Volumn 34, Issue 1, 1997, Pages 288-291

  Allaart, Pieter C ^a  

^a VU UNIVERSITY AMSTERDAM   (Netherlands)

Author keywords

Benford's law; First significant digit; Mantissa function; Sum invariance

Indexed keywords

FUNCTIONS; INVARIANCE; MATHEMATICAL MODELS; THEOREM PROVING;

BENFORD LAW; MANTISSA FUNCTION; SUM INVARIANCE;

PROBABILITY DISTRIBUTIONS;

EID: 0031082699     PISSN: 00219002     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0021900200100907     Document Type: Article

References (7)

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2. HILL, T. P. (1994) Base-invariance implies Benford's law. Proc. Amer. Math. Soc. 123, 887-895.
3. NIGRINI, M. (1992) The detection of income evasion through an analysis of digital distributions. PhD thesis, Department of Accounting, University of Cincinnati.
4. RAIMI, R. (1976) The first digit problem. Amer. Math. Monthly 83, 521-538.
5. ROYDEN, H. L. (1988) Real Analysis. 3rd edn. MacMillan, New York.
6. SCHATTE, P. (1988) On mantissa distributions in computing and Benford's law. J. Inf. Process. Cybern. 24, 443-455.
7. VARIAN, H. (1972) Benford's law. Amer. Statistician 26, 65-66.