Document Type

Conference Proceeding


Review of Progress in Quantitative Nondestructive Evaluation

Publication Date



Chicago, IL


A traditional way to estimate probability of detection (POD) from quantitative inspection data involves estimating the relationship between signal response and flaw size using a linear regression model of the (possibly) transformed data. Noise response data, when available, are used to estimate the detection threshold to control the probability of a false alarm. One of the direct results from the traditional POD method is that the POD will be close to zero where there is no flaw. However, the POD for the limiting case of a very small flaw (or no flaw) is actually the probability of a false alarm. In this paper, we will use both the noise data and the measured signal data to estimate the parameters of a combined model for signal and noise. The resulting POD estimate from the noise interference model provides a correct estimate of the positive probability of detection for small and zero flaw sizes.


Copyright 2009 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.

This article appeared in AIP Conference Proceedings, 1096 (2009): 1769–1776 and may be found at:

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American Institute of Physics




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