ArithmeticMeanCurve

class arithmeticmeancurve.ArithmeticMeanCurve(curves: Union[List[pandas.core.frame.DataFrame], pandas.core.frame.DataFrame], method: Optional[str] = None)

Represents a family of curves.

Parameters

  • curves (Union[SetOfCurves, FamilyOfCurves]) – A ‘set of unique curves’ with seperated x-values or a ‘family of curves’ with common x-values.

  • method (str) – Default ‘frozen_std’; extrapolation method to use.

Examples

>>> import examplecurves
>>> from doctestprinter import doctest_print, doctest_iter_print
>>> sample_curves = examplecurves.Static.create(family_name="nonlinear0")
>>> doctest_iter_print(sample_curves, edits_item=lambda x: x.iloc[:3])
             y
x
0.000  0.00000
0.115  1.40625
0.230  2.70000
          y
x
0.0  0.0000
0.1  1.5625
0.2  3.0000
              y
x
0.000  0.000000
0.111  1.607654
0.222  3.085479
              y
x
0.000  0.000000
0.096  1.796875
0.192  3.450000
             y
x
0.00  0.000000
0.09  1.796875
0.18  3.450000
>>> from arithmeticmeancurve import ArithmeticMeanCurve
>>> extrapolating_mean_curve = ArithmeticMeanCurve(curves=sample_curves)
>>> doctest_print(extrapolating_mean_curve.family_of_curves.loc[:0.2])
            y_0       y_1       y_2       y_3       y_4
x
0.000  0.000000  0.000000  0.000000  0.000000  0.000000
0.090  1.100543  1.406250  1.303503  1.684570  1.796875
0.096  1.173913  1.500000  1.390403  1.796875  1.907083
0.100  1.222826  1.562500  1.448337  1.865755  1.980556
0.111  1.357337  1.720625  1.607654  2.055176  2.182604
0.115  1.406250  1.778125  1.660909  2.124056  2.256076
0.180  2.137500  2.712500  2.526302  3.243359  3.450000
0.192  2.272500  2.885000  2.686067  3.450000  3.651250
0.200  2.362500  3.000000  2.792577  3.575781  3.785417

(Source code, png, hires.png, pdf)

../../_images/example_10_full.png

Figure: Extrapolated mean curve with scatter curve.