scipy stats.frechet_r () | python

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

Results: Frechet right continuous random variable

Code # 1: Create right continuous random variable random variable Frechet

from scipy.stats import frechet_r 

  

numargs = frechet_r .numargs

[a] = [ 0.7 ,] * numargs

rv = frechet_r (a)

 

< code class = "functions"> print ( "RV:" , rv) 

Output:

 RV: & lt; scipy.stats._distn_infrastructure.rv_frozen object at 0x0000018D56769470 & gt; 

Code # 2: Frechet random right-handed variations and probability distribution.

import numpy as np

quantile = np.arange ( 0.01 , 1 , 0.1 )

 
# Random Variants

R = frechet_r .rvs (a, scale = 2 , size = 10 )

print ( " Random Variates: " , R)

 
# PDF

R = frechet_r .pdf (a, quantile, loc = 0 , scale = 1 )

print ( "Probability Distribution:" , R)

Output:

 Random Variates: [0.74797562 0.45139233 3.17050565 0.83673559 0.04150534 0.04417758 0.08459631 0.58419257 4.88454049 3.68323048] Probability Distribution: [0.00525539 0.05776573 0.11006225 0.16196069 0.21328776 0.26388153 0.31359184 0 .36228041 0.40982097 0.45609917] 

Code # 3: Graphic representation.

import numpy as np

import matplotlib.pyplot as plt

 

distribution = np.linspace ( 0 , np.minimum (rv.dist. b, 3 ))

print ( "Distribution:" , distribution)

 

plot = plt.plot (distribution, rv.pdf (distribution))

Output:

 Distribution: [0. 0.06122449 0.12244898 0.18367347 0.24489796 0.30612245 0.36734694 0.42857143 0.48979592 0.55102041 0.6122449 0.67346939 0.73469388 0.79591837 0.85714286 0.91836735 0.97959184 1.04081633 1.10204082 1.16326531 1.2244898 1.28571429 1.34693878 1.40816327 1.46938776 1.53061224 1.59183673 1.65306122 1.71428571 1.7755102 1.83673469 1.89795918 1.95918367 2.02040816 2.08163265 2.14285714 2.20408163 2.26530612 2.32653061 2.3877551 2.44897959 2.51020408 2.57142857 2.63265306 2.69387755 2.75510204 2.81632653 2.87755102 2.93877551 3. ] 

Code # 4: Various Positional Arguments

import matplotlib. pyplot as plt

import numpy as np

 

x = np.linspace ( 0 , 5 , 100 )

 
# Various positional arguments

y1 = frechet_r .pdf (x, 1 , 3 )

y2 = frechet_r .pdf (x , 1 , 4 )

plt.plot (x, y1, " * " , x, y2, " r-- " )

Output: