کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1147591 957772 2012 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Bayesian experimental design for a toxicokinetic–toxicodynamic model
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Bayesian experimental design for a toxicokinetic–toxicodynamic model
چکیده انگلیسی

The aim of this study is to apply the Bayesian method of identifying optimal experimental designs to a toxicokinetic–toxicodynamic model that describes the response of aquatic organisms to time dependent concentrations of toxicants. As for experimental designs, we restrict ourselves to pulses and constant concentrations. A design of an experiment is called optimal within this set of designs if it maximizes the expected gain of knowledge about the parameters. Focus is on parameters that are associated with the auxiliary damage variable of the model that can only be inferred indirectly from survival time series data. Gain of knowledge through an experiment is quantified both with the ratio of posterior to prior variances of individual parameters and with the entropy of the posterior distribution relative to the prior on the whole parameter space. The numerical methods developed to calculate expected gain of knowledge are expected to be useful beyond this case study, in particular for multinomially distributed data such as survival time series data.


► Bayesian experimental design is applied to a survival model described by a multinomial likelihood.
► Estimators, based on sampling from the prior, for the expected relative variance and entropy are given.
► The gain of knowledge through constant and pulsed exposure experiments is compared.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Statistical Planning and Inference - Volume 142, Issue 1, January 2012, Pages 263–275
نویسندگان
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