Extrapolation of Threshold-Limited Null Measurement Frequencies
| dc.creator | Percus, O. E. | |
| dc.creator | Percus, J. K. | |
| dc.date | 2008-06-11 | |
| dc.date.accessioned | 2026-07-07T10:19:52Z | |
| dc.date.available | 2026-07-07T10:19:52Z | |
| dc.description | 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 $x_0$, 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 $x_0$. | |
| dc.identifier | https://arxiv.org/abs/0806.1894 | |
| dc.identifier | http://arxiv.org/abs/0806.1894 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/174669 | |
| dc.subject | Applications | |
| dc.title | Extrapolation of Threshold-Limited Null Measurement Frequencies | |
| dc.type | text |