weibull¶
- mdhelper.fit.distribution.weibull(x: ndarray, a: float, b: float, c: float = 0) ndarray[source]¶
General three-parameter Weibull distribution.
\[y=ab(x-c)^{b-1}\exp{[-a(x-c)^b]}\]- Parameters:
- xnumpy.ndarray
One-dimensional array containing \(x\)-values.
- afloat
Scale parameter \(a\).
- bfloat
Shape parameter \(b\). If specified to be a constant, the one-parameter Weibull distribution is used.
- cfloat, keyword-only, default:
0 Location parameter \(c\). If not specified as a parameter, the two-parameter Weibull distribution is used.
- Returns:
- fitnumpy.ndarray
Fitted \(y\)-values.
Examples
Create a three-parameter Weibull distribution model for fitting.
>>> model = lambda x, a, b, c: weibull(x, a, b, c)
Create a two-parameter Weibull distribution model for fitting.
>>> model = lambda x, a, b: weibull(x, a, b)
Create a one-parameter Weibull distribution model for fitting, with \(b = 1\).
>>> model = lambda x, a: weibull(x, a, 1)