vix.ing · top · new · best · stats · spec

On Dümbgen's exponentially modified Laplace continued fraction for Mill's ratio

2013/06/12 by Florin Avram, Avram, Florin
Mathematics · #FOS: Mathematics #History and Theory of Mathematics #Mathematical and Theoretical Analysis #Mathematics and Applications #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.1306.2989

openalex publication_date 2013/06/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The approximation of the Gaussian cumulative distribution or of the related Mills ratio have a long history starting with Gauss and Laplace and continuing nowadays. Below, we improve an important family of bounds provided recently by Dümbgen.

Related