scipy stats.gompertz () | python

> Parameters:
-" q: lower and upper tail probability
-" 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: Gompertz (or truncated Gumbel) continuous random variable

Code # 1 : Generating a continuous Gompertz (or truncated Gumbel) random variable

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

Output:

 RV: "scipy.stats._distn_infrastructure.rv_frozen object at 0x000001E39A3E2470" 

Code # 2: Gompertz (or Truncated Gumbel) Random Variations and Probability Distribution

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

Output:

 Random Variates: [1.29938059 1.47547887 1.33324567 1.79424061 0.45304378 1.46222247 1.29260365 0.59989705 3.58467676 1.81226267] Probability Distribution: [0.01993441 0.19813875 0.34179784 0.45591617 0.54485437 0.61240 685 0.66187043 0.69610503 0.71758726 0.72845776] 

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 (distr ibution, 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 = gompertz.pdf (x, 1 , 3 ) y2 = gompertz.pdf (x , 1 , 4 ) plt.plot (x, y1, "*" , x, y2, "r--" )

Output: