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Bootstrap method in estimation of variance of model parameters

Bootstrap method in estimation of variance of model parameters

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Bootstrap method in estimation of variance of model parameters

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  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