1 / 7

Bootstrap method in estimation of variance of model parameters

Bootstrap method in estimation of variance of model parameters. Aims. A means to calculate confidence intervals and standard deviations for single data. The original curve fitting. TAC fitted curve model parameter estimates bootstrap residuals weighted residuals A=.

derek-hood
Download Presentation

Bootstrap method in estimation of variance of model parameters

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Bootstrap method in estimation of variance of model parameters

  2. Aims • A means to calculate confidence intervals and standard deviations for single data

  3. The original curve fitting • TAC • fitted curve • model parameter estimates • bootstrap residuals • weighted residuals • A=

  4. R new TAC’s and R new estimates • ordered sampling from A with replacement • by adding residuals to original TAC we get new imaginary TAC • curve fitting new estimates

  5. Confidence intervals for estimates • R estimates of original estimate are arranged in ascending order thus • -percentile where

  6. Standard deviation

  7. Kaisa Sederholm: Globaali optimointi positroniemissiotomografia-kuvantamiseen liittyvässä mallintamisessa, 2003

More Related