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

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

2012-02-29

arxiv.org/abs/1202.6483v2

Mathematics

Probability

3 pages. This version replaces the bound in v1 with a tighter bound. We give a proof of the tighter bound and defer the discus

Scientific paper

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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