COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Approximation of the Fisher information and design in nonlinear mixed effects models

## Approximation of the Fisher information and design in nonlinear mixed effects modelsAdd to your list(s) Download to your calendar using vCal - Mielke, T (Otto-von-Guericke)
- Friday 12 August 2011, 11:00-11:45
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact Mustapha Amrani. Design and Analysis of Experiments The missing closed form representation of the probability density of the observations is one main problem in the analysis of Nonlinear Mixed Effects Models. Often local approximations based on linearizations of the model are used to approximately describe the properties of estimators. The Fisher Information is of special interest for designing experiments, as its inverse yields a lower bound of the variance of any unbiased estimator. Different linearization approaches for the model yield different approximations of the true underlying stochastical model and the Fisher Information (Mielke and Schwabe (2010)). Target of the presentation are alternative motivations of Fisher-Information approximations, based on conditional moments. For an individual design, known inter-individual variance and intra-individual variance, the Fisher Information for estimating the population location parameter vector results in an expression depending on conditional moments, such that approximations of the expectation of the conditional variance and the variance of the conditional expectation yield approximations of the Fisher Information, which are less based on distribution assumptions. Tierney et. al. (1986) described fully exponential Laplace approximations as an accurate method for approximating posterior moments and densities in Bayesian models. We present approximations of the Fisher Information, obtained by approximations of conditional moments with a similar heuristic and compare the impact of different Fisher Information approximations on the optimal design for estimating the population location parameters in pharmacokinetic studies. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
- Featured lists
- INI info aggregator
- Isaac Newton Institute Seminar Series
- School of Physical Sciences
- Seminar Room 1, Newton Institute
- bld31
Note that ex-directory lists are not shown. |
## Other listsSet Theory Seminar In Situ Graduate Colloquium 2013 - Department of Architecture Immigration in Germany## Other talksPart Ib Group Project Presentations Religion, revelry and resistance in Jacobean Lancashire CANCELLED IN SYMPATHY WITH STRIKE Nationality, Alienage and Early International Rights ‘Class-work’ in the elite institutions of higher education Challenges to monetary policy in a global context High-Dimensional Collocation for Lognormal Diffusion Problems |