A (More) Direct Link between Mills' Ratio and Hermite Polynomials

3 Pages Posted: 8 Feb 2023 Last revised: 21 Mar 2023

Date Written: February 5, 2023

Abstract

In this note we revisit the polynomial representation for the derivatives of Mills’ ratio. By combining properties of Laplace transform with representation of monomials by Hermite polynomials, the formula in question is follows directly.

Keywords: Mills ratio, Hermite polynomials, Laplace transform

JEL Classification: C60

Suggested Citation

Lucic, Vladimir, A (More) Direct Link between Mills' Ratio and Hermite Polynomials (February 5, 2023). Available at SSRN: https://ssrn.com/abstract=4348290 or http://dx.doi.org/10.2139/ssrn.4348290

Vladimir Lucic (Contact Author)

Imperial College London ( email )

South Kensington Campus
Exhibition Road
London, Greater London SW7 2AZ
United Kingdom

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