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# scipy stats.frechet_l() | Python

• Last Updated : 27 Mar, 2019

scipy.stats.frechet_l() is an Frechet left (or Weibull maximum) continuous random variable that is defined with a standard format and some shape parameters to complete its specification.

Parameters :
-> q : lower and upper tail probability
-> a : shape parameters
-> x : quantiles
-> loc : [optional]location parameter. Default = 0
-> scale : [optional]scale parameter. Default = 1
-> size : [tuple of ints, optional] shape or random variates.
-> moments : [optional] composed of letters [‘mvsk’]; ‘m’ = mean, ‘v’ = variance,
‘s’ = Fisher’s skew and ‘k’ = Fisher’s kurtosis. (default = ‘mv’).

Results : Frechet left continuous random variable

Code #1 : Creating Frechet left continuous random variable

 `from` `scipy.stats ``import` `frechet_l `` ` `numargs ``=` `frechet_l .numargs``[a] ``=` `[``0.7``, ] ``*` `numargs``rv ``=` `frechet_l (a)`` ` `print` `(``"RV : \n"``, rv) `

Output :

```RV :
<scipy.stats._distn_infrastructure.rv_frozen object at 0x0000018D578BC9E8>
```

Code #2 : Frechet left random variates and probability distribution.

 `import` `numpy as np``quantile ``=` `np.arange (``0.01``, ``1``, ``0.1``)``  ` `# Random Variates``R ``=` `frechet_l.rvs(a, scale ``=` `2``,  size ``=` `10``)``print` `(``"Random Variates : \n"``, R)`` ` `# PDF``R ``=` `frechet_l.pdf(a, quantile, loc ``=` `0``, scale ``=` `1``)``print` `(``"\nProbability Distribution : \n"``, R)`

Output :

```Random Variates :
[-4.66775585e-02 -3.75425255e+00 -2.32248407e-01 -1.20807347e-03
-6.26373883e+00 -1.14007755e+00 -5.09499683e+00 -4.18191271e-01
-4.33720753e+00 -1.05442843e+00]

Probability Distribution :
[0. 0. 0. 0. 0. 0. 0. 0. 0. 0.]
```

Code #3 : Varying Positional Arguments

 `import` `matplotlib.pyplot as plt``import` `numpy as np`` ` `x ``=` `np.linspace(``0``, ``5``, ``100``)`` ` `# Varying positional arguments``y1 ``=` `frechet_l.pdf(x, ``1``, ``3``)``y2 ``=` `frechet_l.pdf(x, ``1``, ``4``)``plt.plot(x, y1, ``"*"``, x, y2, ``"r--"``)`

Output :

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