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

François D. Côté; Ioannis N. Psaromiligkos; Warren J. Gross

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arXiv · 1202.6483

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

François D. Côté·Ioannis N. Psaromiligkos·Warren J. Gross

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Abstract

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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François D. Côté, Ioannis N. Psaromiligkos, Warren J. Gross. 2012-02-29. A Chernoff-type Lower Bound for the Gaussian Q-function. https://arxiv.org/abs/1202.6483

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