frederic mill convex functions

Gaussian Mills ratio is completely monotone

May 23 We prove that this function is completely monotone As an application we show that is strictly convex From Frederic Utzet view email

Approximating Mills ratio

Jul 12 As applications we present a new proof that is strictly convex and we give new sharp bounds of involving rational Also Chernoff type bounds for the Gaussian function are studied From Frederic Utzet view email v1 Fri

Approximating Mills ratio GSD UAB

ARMENGOL GASULL AND FREDERIC UTZET a new proof that 1/f is strictly convex and we give new sharp bounds of f involving rational functions As a first application we prove that the reciprocal function of Mills ratio 1/f is strictly convex

Mills ratio Reciprocal convexity and functional

results the reciprocal convexity concavity of Mills ratio of the gamma distribution Some examples of reciprocally convex functions related to the Euler gamma




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