Parameter Estimation for the Compartmental Model

✍ Scribed by Prof. P. Sen; Prof. R. C. Srivastava

• Publisher: John Wiley and Sons
• Year: 2007
• Tongue: English
• Weight: 626 KB
• Volume: 30
• Category: Article
• ISSN: 0323-3847
• DOI: 10.1002/bimj.4710300608

✦ Synopsis

An estimation procedure is obtained for a atochaatic compartmental model. Compsrtmental analysis mumes that a system may be divided into homogeneous componente, or compertments.

The main theory for the compartmental syatem was studied by MATIS and €LETLEY (1971) with a discrete population in a steady state. All the transitions among the particlea are considered to be stochastic in nature. An estimation procedure, Regular Beat Asymptotic Normal (RBAN), discussed by MANQ (1956) is investigated for a stochsetic m-compartmental system. The detailed proof of the procedure is provided here. Asymptotic propertiee for the estimator haa been studied and computation haa been carried out on our pro@ nonlinear model. The downhill simplex sesrch method, originally developed by NELDEB and MEAD (1965), and applied to minimize our quadratic form is inherently nonlinear in nature, thus avoiding the need to evaluate any derivative for point estimation of the parameters. The prooedure applied to an experimental situation involving two compartments gives very encouraging results.