Jesper Møller

collaborators

2 papers

math.PR2024

The asymptotic distribution of the scaled remainder for pseudo golden ratio expansions of a continuous random variable

Ira W. Herbst, Jesper Møller, Anne Marie Svane

Let $X = \sum_{k = 1}^{\infty} X_{k} β^{- k}$ be the base- $β$ expansion of a continuous random variable $X$ on the unit interval where $β$ is the positive solution to $β^n = 1 + β+ \cdots +…

math.PR2023

The asymptotic distribution of the remainder in a certain base- $β$ expansion

Ira W. Herbst, Jesper Møller, Anne Marie Svane

Let $X = \sum_{k = 1}^{\infty} X_{k} β^{- k}$ be the base- $β$ expansion of a continuous random variable $X$ on the unit interval where $β$ is the golden ratio. We study the asymptotic distr…

The asymptotic distribution of the scaled remainder for pseudo golden ratio expansions of a continuous random variable

The asymptotic distribution of the remainder in a certain base-β expansion

The asymptotic distribution of the remainder in a certain base- $β$ expansion