Article ID Journal Published Year Pages File Type
4621198 Journal of Mathematical Analysis and Applications 2008 9 Pages PDF
Abstract

In this paper we study the monotonicity properties of some functions involving the Mills' ratio of the standard normal law. From these we deduce some new functional inequalities involving the Mills' ratio, and we show that the Mills' ratio is strictly completely monotonic. At the end of this paper we present some Turán-type inequalities for Mills' ratio.

Related Topics
Physical Sciences and Engineering Mathematics Analysis