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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.

Additional Publication Details

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
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
Number of Pages:
21
Country:
United States
Online Only (Y/N):
Y
Additional Online Files(Y/N):
Y