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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    References

    SHOWING 1-10 OF 53 REFERENCES