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: beta continuous random variable
Code # 1: Generate beta continuous random variable values
# scipy import from scipy.stats import beta numargs = beta.numargs [a, b] = [ 0.6 ,] * numargs rv = beta (a, b) print ( " RV : " , rv) |
Output:
RV: "scipy.stats._distn_infrastructure.rv_frozen object at 0x0000029482FCC438"
Code # 2: beta random variations and probability distribution function.
import numpy as np quantile = np.arange ( 0.01 , 1 , 0.1 ) # Random Variants R = beta.rvs (a, b, scale = 2 , size = 10 ) p rint ( "Random Variates:" , R) # PDF R = beta.pdf (quantile, a, b, loc = 0 , scale = 1 ) print ( "Probability Distribution:" , R) |
Output:
Random Variates: [1.47189604 1.47284574 1.84692416 1.0686604 0.32709236 1.96857076 0.00639731 1.97093898 1.34811881 0.34269426] Probability Distribution: [2.62281037 1.04883674 0.84934164 0.76724957 0.73040985 0.72096547 0.73529768 0.779037 62 0.8752367 1.1264383]
Code # 3: Graphic representation.
import numpy as np import matplotlib.pyplot as plt distribution = np.linspace ( 0 , np.maximum (rv.dist.b , 5 )) plot = plt.plot (distribution, rv.pdf (distribution)) |
Output:
Code # 4: Various Positional Arguments
from scipy.stats import arcsine import matplotlib.pyplot as plt import numpy as np x = np.linspace ( 0 , 1.0 , 100 ) # Various positional arguments y1 = beta.pdf (x, 2.75 , 2.75 ) y2 = beta.pdf (x, 3.25 , 3.25 ) plt.plot (x, y1, "*" , x, y2, "r--" ) |
Output:
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