A Simulation-Based Comparison Between Parametric and Nonparametric Estimation Methods in PBPK Models

Abstract

We compare parametric and nonparametric estimation methods in the context of PBPK modeling using simulation studies. We implement a Monte Carlo Markov Chain simulation technique in the parametric method, and a functional analytical approach to estimate the probability distribution function directly in the nonparametric method. The simulation results suggest an advantage for the parametric method when the underlying model can capture the true population distribution. On the other hand, our calculations demonstrate some advantages for a nonparametric approach since it is a more cautious (and hence safer) way to assess the distribution when one does not have sufficient knowledge to assume a population distribution form or parametrization. The parametric approach has obvious advantages when one has significant a priori information on the distributions sought, although when used in the nonparametric method, prior information can also significantly facilitate estimation.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 2004
Accession Number
ADA444297

Entities

People

  • H. Thomas Banks
  • Laura K. Potter
  • Yanyuan Ma

Organizations

  • North Carolina State University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Bayesian Networks
  • Computational Science
  • Computations
  • Differential Equations
  • Distribution Functions
  • Equations
  • Mathematical Models
  • Monte Carlo Method
  • Normal Distribution
  • Partial Differential Equations
  • Probability
  • Probability Distributions
  • Random Variables
  • Sampling
  • Simulations
  • Statistical Algorithms

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Statistical inference.