Title of article
Mills’ ratio: Monotonicity patterns and functional inequalities ✩
Author/Authors
?rp?d Baricz، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2008
Pages
9
From page
1362
To page
1370
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.
© 2007 Elsevier Inc. All rights reserved
Keywords
Normal distribution , Mills’ ratio , Functional inequality , complete monotonicity , Schwarz’sinequality , Tur?n-type inequality , Monotone form of l’Hospital’s rule
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2008
Journal title
Journal of Mathematical Analysis and Applications
Record number
936836
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