Barlow, JL and Bareiss, EH (1985). On Roundoff Error Distributions in Floating Point and Logarithmic Arithmetic. Computing 34(4), pp. 325-347.
This work cites the following items of the Benford Online Bibliography:
Benford, F (1938). The law of anomalous numbers. Proceedings of the American Philosophical Society, Vol. 78, No. 4 (Mar. 31, 1938), pp. 551-572.
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Bustoz, J, Feldstein, A, Goodman, R and Linnainmaa, S (1979). Improved Trailing Digits Estimates Applied to Optimal
Computer Arithmetic. Journal of the Association for Computing Machinery 26(4), pp. 716-730. ISSN/ISBN:0004-5411. DOI:10.1145/322154.322162.
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Hamming, R (1970). On the distribution of numbers. Bell Syst. Tech. J. 49(8), pp. 1609-1625. ISSN/ISBN:0005-8580. DOI:10.1002/j.1538-7305.1970.tb04281.x.
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Knuth, DE (1997). The Art of Computer Programming. pp. 253-264, vol. 2, 3rd ed, Addison-Wesley, Reading, MA.
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Pinkham, RS (1961). On the Distribution of First Significant Digits. Annals of Mathematical Statistics 32(4), pp. 1223-1230. ISSN/ISBN:0003-4851.
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Raimi, RA (1969). On Distribution of First Significant Figures. American Mathematical Monthly 76(4), pp. 342-348. ISSN/ISBN:0002-9890. DOI:10.2307/2316424.
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Turner, PR (1982). The Distribution of Leading Significant Digits. IMA Journal orf Numerical Analysis 2(4), 407-412. ISSN/ISBN:0272-4979. DOI:10.1093/imanum/2.4.407.
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Turner, PR (1984). Further Revelations on L.S.D.. IMA Journal of Numerical Analysis 4(2), 225-231. ISSN/ISBN:0272-4979. DOI:10.1093/imanum/4.2.225.
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