Computing maximum-likelihood estimates for parameters of the National Descriptive Model of Mercury in Fish
Open-File Report
2012-1181
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Abstract
This report presents the mathematical expressions and the computational techniques required to compute maximum-likelihood estimates for the parameters of the National Descriptive Model of Mercury in Fish (NDMMF), a statistical model used to predict the concentration of methylmercury in fish tissue. The expressions and techniques reported here were prepared to support the development of custom software capable of computing NDMMF parameter estimates more quickly and using less computer memory than is currently possible with available general-purpose statistical software. Computation of maximum-likelihood estimates for the NDMMF by numerical solution of a system of simultaneous equations through repeated Newton-Raphson iterations is described. This report explains the derivation of the mathematical expressions required for computational parameter estimation in sufficient detail to facilitate future derivations for any revised versions of the NDMMF that may be developed.
| Publication type | Report |
|---|---|
| Publication Subtype | USGS Numbered Series |
| Title | Computing maximum-likelihood estimates for parameters of the National Descriptive Model of Mercury in Fish |
| Series title | Open-File Report |
| Series number | 2012-1181 |
| DOI | 10.3133/ofr20121181 |
| Year Published | 2012 |
| Language | English |
| Publisher | U.S. Geological Survey |
| Publisher location | Reston, VA |
| Contributing office(s) | South Florida Information Access |
| Description | Report: iii, 16 p.; Appendix |
| Country | United States |
| Online Only (Y/N) | Y |
| Additional Online Files (Y/N) | Y |
| Google Analytic Metrics | Metrics page |