Propagation of uncertainties for a function of observables
Fra mn/fys/epf
Revisjon per 14. mai 2011 kl. 08:33 av Read@uio.no (diskusjon | bidrag) (Ny side: We want to estimate the uncertainty of a function <math>f</math> of a set of <math>n</math> observables <math>\vec{x}</math> with associated uncertainties <math>\sigma_i</math>. We assume t...)
We want to estimate the uncertainty of a function
of a set of observables with associated uncertainties . We assume that the observables are sampled from normal distributions which are narrow relative to the form of the function and approximate the function with its Taylor-series expansion, keeping only the lowest-order derivatives .The uncertainty in
is estimated as the square root of its mean variance where