A Chernoff-type Lower Bound for the Gaussian Q-function

Fran\c{c}ois D. C\^ot\'e; Ioannis N. Psaromiligkos; Warren J. Gross

arxiv: 1202.6483 · v2 · pith:VSP56OBPnew · submitted 2012-02-29 · 🧮 math.PR

A Chernoff-type Lower Bound for the Gaussian Q-function

Fran\c{c}ois D. C\^ot\'e , Ioannis N. Psaromiligkos , Warren J. Gross This is my paper

classification 🧮 math.PR

keywords boundlowerq-functionexponentialfunctionfunctionsgaussianrelated

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A lower bound for the Gaussian Q-function is presented in the form of a single exponential function with parametric order and weight. We prove the lower bound by introducing two functions, one related to the Q-function and the other similarly related to the exponential function, and by obtaining inequalities that indicate the sign of the difference of the two functions.

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