Draw samples from the triangular distribution.
The triangular distribution is a continuous probability distribution with lower limit left, peak at mode, and upper limit right. Unlike the other distributions, these parameters directly define the shape of the pdf.
Parameters : | left : scalar
mode : scalar
right : scalar
size : int or tuple of ints, optional
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Returns : | samples : ndarray or scalar
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Notes
The probability density function for the Triangular distribution is
The triangular distribution is often used in ill-defined problems where the underlying distribution is not known, but some knowledge of the limits and mode exists. Often it is used in simulations.
References
[R175] | Wikipedia, “Triangular distribution” http://en.wikipedia.org/wiki/Triangular_distribution |
Examples
Draw values from the distribution and plot the histogram:
>>> import matplotlib.pyplot as plt
>>> h = plt.hist(np.random.triangular(-3, 0, 8, 100000), bins=200,
... normed=True)
>>> plt.show()
(Source code, png, pdf)