Mills' ratio: Monotonicity patterns and functional inequalities

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Bounds for the Ratio of Two Gamma Functions (2009, background): “The function e p ∫∞ x e−t p d t was further investigated in [2, 15, 41, 70, 92, 114, 129, 138] and related references therein.”
Bounding Standard Gaussian Tail Probabilities (2010, background): “These special functions hk and their properties have been investigated by numerous authors; we only refer to Shenton (1954), Pinelis (2002), Baricz (2008) and the references therein.”
The Bivariate Normal Copula (2009, methodology): “Here we have used that Fλ(x) > 0 and that the function y 7→ y · R ′(y) R(y) is strictly decreasing on (0,∞), cf. (Baricz 2008).”
Approximating Mills ratio (2013, result): “The result stated in item (i) was proved by Baricz [3].”
Middlemen in Limit Order Markets (2016, unknown): “Then r (1− s) = Φ (−s) φ (−s) = 1− Φ (s) φ (s) > s 1+ s2 where the last inequality follows from a well-known inequality concerning Mill’s ratio (Baricz (2008), eq.”
Geometrically concave univariate distributions (2010, background): “5 in [7].”
Identification of and Correction for Publication Bias (2017, unknown): “which is proportional to Mill’s ratio and tends to zero and ω→∞ (see, for example, Baricz (2008)).”