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A statistical study of randomness among the first $ 10,000$ digits of $ \pi $


Author: R. K. Pathria
Journal: Math. Comp. 16 (1962), 188-197
MSC: Primary 10.03
DOI: https://doi.org/10.1090/S0025-5718-1962-0144443-7
MathSciNet review: 0144443
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References [Enhancements On Off] (What's this?)

  • [1] L. H. C. Tippett, Random Sampling Numbers (41,600), Tracts for Computers, No. 15, Cambridge University Press, 1927.
  • [2] M. G. Kendall & B. B. Smith, Random Sampling Numbers (100,000), Tracts for Computers, No. 24, Cambridge University Press, 1939.
  • [3] Table of 105,000 $ \bar \chi $ Random Decimal Digits, Interstate Commerce Commission, Bureau of Transport Economics and Statistics, Statement No. 4914, Washington, D. C., May 1949.
  • [4] Rand Corporation. A Million Random Digits with 100,000 Normal Deviates. The Free Press, Glencoe, Illinois, 1955. MR 0067568 (16:749i)
  • [5] R. K. Pathria, ``A statistical analysis of the first 2,500 decimal places of e and 1/e,'' Proc. Nat. Inst. Sci. India, v. A27, 1961, p. 270-282. See also Math. Gaz., London, v. 45, 1961, p. 142-143. MR 0136044 (24:B2083)
  • [6] G. W. Reitwiesner, ``An ENIAC determination of $ \pi $ and e to more than 2000 decimal places,'' MTAC, v. 4, 1950, p. 11-15. MR 0037597 (12:286i)
  • [7] N. C. Metropolis, G. Reitwiesner & J. von Neumann, ``Statistical treatment of values of first 2000 decimal places of e and $ \pi $ calculated on the ENIAC,'' MTAC, v. 4, 1950, p. 109-111. MR 0037598 (12:286j)
  • [8] F. Gruenberger, ``Further statistics on the digits of e,'' MTAC, v. 6, 1952, p. 123-124.
  • [9] S. C. Nicholson & J. Jeenel, ``Some comments on a NORC computation of $ \pi $,'' MTAC, v. 9, 1955, p. 162-164. MR 0075672 (17:789b)
  • [10] M. G. Kendall & B. B. Smith, ``Randomness and random sampling numbers,'' J. Roy. Statist. Soc., v. 101, 1938, p. 147-166.
  • [11] G. U. Yule, ``A test of Tippett's random sampling numbers,'' J. Roy. Statist. Soc., v. 101, 1938, p. 167-172.
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  • [13] F. Genuys, ``Dix mille decimales de $ \pi $,'' Chiffres, v. 1, 1958, p. 17-22. MR 0094928 (20:1436)

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DOI: https://doi.org/10.1090/S0025-5718-1962-0144443-7
Article copyright: © Copyright 1962 American Mathematical Society

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