Fitting Data Containing Multiple Exponentials Using Functionals Derived from Finite Laplace Transforms of Time Moments of the Data
| Autor: | Ray S. Booth |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Nuclear and High Energy Physics
Correlation coefficient Laplace transform 05 social sciences 050301 education Experimental data Condensed Matter Physics 01 natural sciences Exponential function 010104 statistics & probability Data point Nuclear Energy and Engineering Simple (abstract algebra) Range (statistics) Applied mathematics Time moment 0101 mathematics 0503 education Mathematics |
| Zdroj: | Nuclear Technology. 198:217-227 |
| ISSN: | 1943-7471 0029-5450 |
| DOI: | 10.1080/00295450.2017.1299494 |
| Popis: | Functionals derived from the finite Laplace transforms of time moments of experimental data are used to fit these data to exponential functions. The functionals provide linear relationships for individually determining parameter values successively. This new and unique fitting method is first derived and then applied to data containing up to four exponentials to demonstrate its capabilities. Advantages of this fitting procedure include the following. (1) Parameters of the fit can be determined from the data region where they are most important by a wide verity of methods, including conventional ones. (2) Fitting algorithms are available that are simple to program; use conventional “stripping techniques”; are quite robust; and have been tested for a wide range in the number of data points, statistical errors, data ranges, and parameter values. (3) Fitting algorithms are included that use the conventional correlation coefficient of two expressions to fit data with even or uneven time intervals. (4) ... |
| Databáze: | OpenAIRE |
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