• DOI:10.1155/2008/382948
Corpus ID: 11883032

Order Statistics and Benford's Law

@article{Miller2008OrderSA,
  title={Order Statistics and Benford's Law},
  author={S. Miller and Mark J. Nigrini},
  journal={Int. J. Math. Math. Sci.},
  year={2008},
  volume={2008},
  pages={382948:1-382948:19}
}

S. Miller, Mark J. Nigrini

Published 2008

Mathematics, Computer Science

Int. J. Math. Math. Sci.

Fix a base and let have the standard exponential distribution; the distribution of digits of base is known to be very close to Benford's law. If there exists a such that the distribution of digits of times the elements of some set is the same as that of , we say that set exhibits shifted exponential behavior base Let be i.i.d.r.v. If the 's are Unif, then as the distribution of the digits of the differences between adjacent order statistics converges to shifted exponential behavior. If instead… CONTINUE READING

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