lectures 14: bootstrap i. error propagation for nonlinear

19
Lectures 14: Bootstrap I. error propagation for nonlinear functions of fit parameters with material from

Upload: others

Post on 23-Jan-2022

12 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: Lectures 14: Bootstrap I. error propagation for nonlinear

Lectures 14: Bootstrap I.

error propagation for nonlinear functions of fit parameters

with material from

Page 2: Lectures 14: Bootstrap I. error propagation for nonlinear

Maximum Likelihood parameter errors?from Lecture 9:

Page 3: Lectures 14: Bootstrap I. error propagation for nonlinear

multivariate normal distribution

Page 4: Lectures 14: Bootstrap I. error propagation for nonlinear

multivariate normal distribution

Page 5: Lectures 14: Bootstrap I. error propagation for nonlinear

linear error propagation for arbitrary function of parameters

Page 6: Lectures 14: Bootstrap I. error propagation for nonlinear

linear error propagation for arbitrary function of parameters

Page 7: Lectures 14: Bootstrap I. error propagation for nonlinear

Sampling the posterior histogram

Page 8: Lectures 14: Bootstrap I. error propagation for nonlinear

Sampling the posterior histogram

Page 9: Lectures 14: Bootstrap I. error propagation for nonlinear

comparison of linear propagation and posterior sampling:

Page 10: Lectures 14: Bootstrap I. error propagation for nonlinear

bootstrap sampling

Page 11: Lectures 14: Bootstrap I. error propagation for nonlinear

bootstrap sampling

Page 12: Lectures 14: Bootstrap I. error propagation for nonlinear

bootstrap sampling

Page 13: Lectures 14: Bootstrap I. error propagation for nonlinear

bootstrap sampling

Page 14: Lectures 14: Bootstrap I. error propagation for nonlinear

bootstrap sampling

Page 15: Lectures 14: Bootstrap I. error propagation for nonlinear

bootstrap sampling

frequentist is concerned about error estimate

Page 16: Lectures 14: Bootstrap I. error propagation for nonlinear

bootstrap sampling

Page 17: Lectures 14: Bootstrap I. error propagation for nonlinear

bootstrap sampling

Page 18: Lectures 14: Bootstrap I. error propagation for nonlinear

bootstrap sampling

Page 19: Lectures 14: Bootstrap I. error propagation for nonlinear