Pharmacodynamic parameter estimation: Population size versus number of samples

A Data Driven Parameter Estimation for the Three- Parameter Weibull Population from Censored Samples

A method is described for the calculation of the three-parameter Weibull distribution function from censored samples. The method introduces a data driven technique based on an adapted Gaussian like kernel to match the censoring scheme. The method minimizes the Cramer von Mises distance from a non-parametric density estimate and the parametric estimate at the order statistics. The maximum likeli...

Bayesian Effective Samples and Parameter Size

Suppose we have a posterior density for a parameter given a sample and we form a second posterior density for the same parameter, based on a different model and a different data set. Then we can evaluate the relative entropy distance between the two posteriors. Minimizing the relative entropy over the second sample gives the virtual sample that would make the second posterior as close as possib...

Population pharmacokinetic/pharmacodynamic mixture models via maximum a posteriori estimation

Pharmacokinetic/pharmacodynamic phenotypes are identified using nonlinear random effects models with finite mixture structures. A maximum a posteriori probability estimation approach is presented using an EM algorithm with importance sampling. Parameters for the conjugate prior densities can be based on prior studies or set to represent vague knowledge about the model parameters. A detailed sim...

Efficient and Unbiased Estimation of Population Size

Population sizing from still aerial pictures is of wide applicability in ecological and social sciences. The problem is long standing because current automatic detection and counting algorithms are known to fail in most cases, and exhaustive manual counting is tedious, slow, difficult to verify and unfeasible for large populations. An alternative is to multiply population density with some refe...

Capture-Recapture Estimation of Population Size