Python – Tukey-Lambda Distribution in Statistics
Last Updated :
23 Aug, 2021
scipy.stats.tukeylambda() is a Tukey-Lambda continuous random variable. It is inherited from the of generic methods as an instance of the rv_continuous class. It completes the methods with details specific for this particular distribution.
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 : Tukey-Lambda continuous random variable
Code #1 : Creating Tukey-Lambda continuous random variable
Python3
from scipy.stats import tukeylambda
numargs = tukeylambda .numargs
a, b = 0.2 , 0.8
rv = tukeylambda (a, b)
print ( "RV : \n" , rv)
|
Output :
RV :
scipy.stats._distn_infrastructure.rv_frozen object at 0x000002A9D9D71F48
Code #2 : Tukey-Lambda continuous variates and probability distribution
Python3
import numpy as np
quantile = np.arange ( 0.01 , 1 , 0.1 )
R = tukeylambda .rvs(a, b, size = 10 )
print ( "Random Variates : \n" , R)
x = np.linspace(tukeylambda.ppf( 0.01 , a, b),
tukeylambda.ppf( 0.99 , a, b), 10 )
R = tukeylambda.pdf(x, 1 , 3 )
print ( "\nProbability Distribution : \n" , R)
|
Output :
Random Variates :
[ 0.21772132 -0.22664155 -1.59857265 2.60861252 3.14751736 2.06655125
0.62978366 0.28088051 -2.38894301 -1.16725442]
Probability Distribution :
[0. 0. 0. 0. 0. 0. 0. 0.5 0.5 0.5]
Code #3 : Graphical Representation.
Python3
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. 0.04081633 0.08163265 0.12244898 0.16326531 0.20408163
0.24489796 0.28571429 0.32653061 0.36734694 0.40816327 0.44897959
0.48979592 0.53061224 0.57142857 0.6122449 0.65306122 0.69387755
0.73469388 0.7755102 0.81632653 0.85714286 0.89795918 0.93877551
0.97959184 1.02040816 1.06122449 1.10204082 1.14285714 1.18367347
1.2244898 1.26530612 1.30612245 1.34693878 1.3877551 1.42857143
1.46938776 1.51020408 1.55102041 1.59183673 1.63265306 1.67346939
1.71428571 1.75510204 1.79591837 1.83673469 1.87755102 1.91836735
1.95918367 2. ]
Code #4 : Varying Positional Arguments
Python3
import matplotlib.pyplot as plt
import numpy as np
x = np.linspace( 0 , 5 , 100 )
y1 = tukeylambda.pdf(x, a, b)
y2 = tukeylambda.pdf(x, a, b)
plt.plot(x, y1, "*" , x, y2, "r--" )
|
Output :
Like Article
Suggest improvement
Share your thoughts in the comments
Please Login to comment...