numpy.random.mtrand.RandomState.triangular¶

RandomState.triangular(left, mode, right, size=None)

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 Lower limit. mode : scalar The value where the peak of the distribution occurs. The value should fulfill the condition left <= mode <= right. right : scalar Upper limit, should be larger than left. size : int or tuple of ints, optional Output shape. Default is None, in which case a single value is returned. samples : ndarray or scalar The returned samples all lie in the interval [left, right].

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

..[1] 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()