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
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