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The use of the likelihood function in the analysis of environmental data
Author(s) -
DíazFrancés Eloísa,
Sprott David A.
Publication year - 2000
Publication title -
environmetrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.68
H-Index - 58
eISSN - 1099-095X
pISSN - 1180-4009
DOI - 10.1002/(sici)1099-095x(200001/02)11:1<75::aid-env382>3.0.co;2-g
Subject(s) - censoring (clinical trials) , likelihood function , econometrics , statistics , parametric statistics , parametric model , maximum likelihood , environmental data , data set , function (biology) , sample (material) , likelihood principle , computer science , mathematics , quasi maximum likelihood , law , biology , chemistry , chromatography , evolutionary biology , political science
Inferential procedures that take into account the entire course of the likelihood function are considered for the analysis of environmental data. The purpose is to obtain quantitative statements of plausibility about the unknown parameters of the model that use all of the parametric information contained in the sample. With due attention paid to the shape of the likelihood function, the methods are applicable to small samples. There are no asymptotic requirements. Skewed densities f ( x ; θ) as well as censoring can be easily taken into account. The methods are exemplified with a water pollution censored data set. Copyright © 2000 John Wiley & Sons, Ltd.