### Chenavier, N and Schneider, D (2018)

#### On the discrepancy of powers of random variables

Statistics & Probability Letters 134, pp. 5-14.

**ISSN/ISBN:** Not available at this time.
**DOI:** 10.1016/j.spl.2017.10.006

**Abstract:** Let (dn) be a sequence of positive numbers and let (Xn) be a sequence of positive independent random variables. We provide an upper bound for the deviation between the distribution of the mantissaes of the first N terms of (Xndn) and the Benford's law. If dn goes to infinity at a rate at most polynomial, this deviation converges a.s. to 0 as N goes to infinity.

**Bibtex:**

```
@article{,
title = "On the discrepancy of powers of random variables",
journal = "Statistics & Probability Letters",
volume = "134",
pages = "5 - 14",
year = "2018",
issn = "0167-7152",
doi = "https://doi.org/10.1016/j.spl.2017.10.006",
url = "http://www.sciencedirect.com/science/article/pii/S0167715217303206",
author = "Nicolas Chenavier and Dominique Schneider",
}
```

**Reference Type:** Journal Article

**Subject Area(s):** Probability Theory, Statistics