Corpus ID: 119329600

Notes on scale-invariance and base-invariance for Benford's Law

@article{Wojcik2013NotesOS,
  title={Notes on scale-invariance and base-invariance for Benford's Law},
  author={M. R. W'ojcik},
  journal={arXiv: Probability},
  year={2013}
}
  • M. R. W'ojcik
  • Published 2013
  • Mathematics
  • arXiv: Probability
    • It is known that if X is uniformly distributed modulo 1 and Y is an arbitrary random variable independent of X then Y+X is also uniformly distributed modulo 1. We prove a converse for any continuous random variable Y (or a reasonable approximation to a continuous random variable) so that if X and Y+X are equally distributed modulo 1 and Y is independent of X then X is uniformly distributed modulo 1 (or approximates the uniform distribution equally reasonably). This translates into a… CONTINUE READING
    View PDF on arXiv
    4 Citations
    Highly Influencial Citations
    2
    Background Citations
    2
    Methods Citations
    1
    4 Citations
    Citation Type

    Citation Type

    Random variables with an invariant random shift in compact metrisable abelian groups
    • Highly Influenced
    • PDF
    Benford's Law and the Universe
    • 2
    • PDF
    Benford’s Law in Astronomy
    • 13
    Fourier Analysis and Benford Random Variables
    • Highly Influenced
    • PDF

    References

    SHOWING 1-10 OF 23 REFERENCES
    On the non-existence of a general Benford's law
    • 13
    • Highly Influential
    On Scale-Invariant Distributions
    • 3
    On Benford's law to variable base
    • 7
    A basic theory of Benford's Law ∗
    • 68
    An Application of Fourier Series to the Most Significant Digit Problem
    • 68
    Benford's law in the natural sciences
    • 73
    • PDF
    On the Distribution of First Significant Digits
    • 252
    AN INVARIANT-SUM CHARACTERIZATION OF BENFORD'S LAW
    • 18
    • PDF
    Benford's Law, A Growth Industry
    • K. Ross
    • Mathematics, Computer Science
    • Am. Math. Mon.
    • 2011
    • 21
    • PDF
    Applying Benford's law to volcanology
    • 16
    • PDF