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bootstrap
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basis of the experimental data and repeating the fit for these simulated data sets. The spread of all the best fit paramter sets generated by these fits serves as a measure for the parameter errors. Specifically, the... at least 1000 data sets have to be simulated and fitted, the bootstrap method seems to be rather time ... nalysis]] and thus can be applied even to [[MLE]] fitting. ===== Implementation ===== The implementa
marquardt-levenberg
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to be replaced by [[MLE]] fitting. When running a [[MLE]] fit the SymPhoTime software abandons the ML-fitting and switches to a gradient search.
support_plane_analysis
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he support plane analysis is used for analysing [[fitting]] parameter error intervals. It works by calc... r space. For illustration let's start at the best fit parameter set, which can be regarded as a single ... s done by keeping the removed parameter fixed and fitting all the other parameters. By this we deviate ... ===== Advantages and disadvantages ===== Since [[fitting]] is used to derive a functional dependence o
chi_square_management
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the optimization parameter for [[least squares]] fitting (for a definition see there). For a perfect fit it should be near 1. As a measure of the goodness-of-fit it is insufficient. Other methods have to be used
least_squares
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gm for matching data ('{{wiki>Regression_analysis|fitting}}') with a parametrised model equation. A fam... s. The least squares measure for the goodness-of-fit is $$\chi ^2_{red}=\frac{1}{N-n_p}\sum_{i=1}^{N}
asymptotic_standard_errors
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otic standard errors (ASE) are used for analyzing fitting parameter error intervals. For illustration let's start at the best fit parameter set, which can be regarded as a single
residuals
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squares]] (or any other [[wp>Regression_analysis|fitting]] method, e.g. [[MLE]]) the residuals are the... of importance within any framework concerned with fitting, as the [[software:SymPhoTime]] software or [
poisson_distribution
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nu}^{}_{}$. In the Gaussian limit [[least squares]] [[wp>Regression_analysis|fitting]] may be applied, otherwise [[MLE]] [[wp>Regression_analysis|fitting]] is preferable.
monte_carlo
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nding initial values for [[wp>Regression_analysis|fitting]] parameters before optimisation by a [[Marqu
fast_lifetime
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e single path calculation, compared to a complete fitting operation against a more complex, non-linear