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Lectures 12: Bootstrap II. bootstrap and its statistics reviewed

Lectures 12: Bootstrap II. bootstrap and its statistics ...€¦ · Method 3: Bootstrap resampling of the data We applied some end-to-end process to a data set and got a number f

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Lectures 12: Bootstrap II.

bootstrap and its statistics reviewed

error on nonlinear function of fitted parameters?

I. Linearized error propagation

Linearized error propagation

Sampling the posterior histogram

Sampling the posterior histogram

comparison of linear propagation and posterior sampling:

bootstrap sampling

bootstrap sampling

bootstrap sampling

bootstrap sampling

statistics reviewed

statistics reviewed

α=3 β=1 a parameter θ on F: θ=mean/median

F distributions

statistics reviewed

α=3 β=1 a parameter θ on F: θ=mean/median

bootstrap sampling

F distributionF distribution^

θ=

➙θ parameterθ statistic^

statistics reviewed

statistics reviewed

statistics reviewed

bootstrap review and bias

bootstrap review and bias

bootstrap review and bias

bootstrap review and bias

bootstrap review and bias

bootstrap review and bias

bootstrap review and bias

bootstrap review and bias

bootstrap review and bias

bootstrap review and bias

bootstrap review and bias

bootstrap sampling

bootstrap sampling

bootstrap sampling