Article contents
On the significands of uniform random variables
Published online by Cambridge University Press: 26 July 2018
Abstract
For all α > 0 and real random variables X, we establish sharp bounds for the smallest and the largest deviation of αX from the logarithmic distribution also known as Benford's law. In the case of uniform X, the value of the smallest possible deviation is determined explicitly. Our elementary calculation puts into perspective the recurring claims that a random variable conforms to Benford's law, at least approximately, whenever it has large spread.
MSC classification
- Type
- Research Papers
- Information
- Copyright
- Copyright © Applied Probability Trust 2018
References
- 4
- Cited by