scipy.stats.f() is an F 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, b : 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 : F continuous random variable
Code #1 : Creating F continuous random variable
from scipy.stats import f numargs = f.numargs [a, b] = [0.6, ] * numargs rv = f(a, b) print ("RV : \n", rv) |
Output :
RV : <scipy.stats._distn_infrastructure.rv_frozen object at 0x0000018D566864A8>
Code #2 : exponential F random variates and probability distribution.
import numpy as np quantile = np.arange (0.01, 1, 0.1) # Random Variates R = f.rvs(a, b, scale = 2, size = 10) print ("Random Variates : \n", R) # PDF R = f.pdf(a, b, quantile, loc = 0, scale = 1) print ("\nProbability Distribution : \n", R) |
Output :
Random Variates : [2.77609532e+00 2.55454726e-04 7.77303742e+01 2.61642158e+02 3.39772973e-01 8.63437666e+02 3.24316832e+02 5.88915362e+06 1.27105242e+03 7.30691909e-01] Probability Distribution : [0.00800042 0.06746857 0.10587056 0.13291306 0.15295841 0.16837285 0.18056559 0.19043041 0.19856155 0.2053691 ]
Code #3 : Graphical Representation.
import numpy as np import matplotlib.pyplot as plt distribution = np.linspace(0, np.minimum(rv.dist.b, 3)) print("Distribution : \n", 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 : Varying Positional Arguments
import matplotlib.pyplot as plt import numpy as np x = np.linspace(0, 5, 100) # Varying positional arguments y1 = f .pdf(x, 2, 6) y2 = f .pdf(x, 1, 4) plt.plot(x, y1, "*", x, y2, "r--") |
Output :
