On moments of Cantor and related distributions
Probability
2014-03-04 v1
Abstract
We provide several simple recursive formulae for the moment sequence of infinite Bernoulli convolution. We relate moments of one infinite Bernoulli convolution with others having different but related parameters. We give examples relating Euler numbers to the moments of infinite Bernoulli convolutions. One of the examples provides moment interpretation of Pell numbers as well as new identities satisfied by Pell and Lucas numbers.
Keywords
Cite
@article{arxiv.1403.0386,
title = {On moments of Cantor and related distributions},
author = {Paweł J. Szabłowski},
journal= {arXiv preprint arXiv:1403.0386},
year = {2014}
}
Comments
8 pages