Extrapolation of Threshold-Limited Null Measurement Frequencies
Applications
2008-11-23 v1
Abstract
The total measurable level of a pathogen is due to many sources, which produce a variety of pulses, overlapping in time, that rise suddenly and then decay. What is measured is the level of the total contribution of the sources at a given time. But since we are only capable of measuring the total level above some threshold , we would like to predict the distribution below this level. Our principal model assumption is that of the asymptotic exponential decay of all pulses. We show that this implies a power law distribution for the frequencies of low amplitude observations. As a consequence, there is a simple extrapolation procedure for carrying the data to the region below .
Keywords
Cite
@article{arxiv.0806.1894,
title = {Extrapolation of Threshold-Limited Null Measurement Frequencies},
author = {O. E. Percus and J. K. Percus},
journal= {arXiv preprint arXiv:0806.1894},
year = {2008}
}