Logistic Distribution
Logistic Distribution
Logistic Distribution is used to describe growth.
Used extensively in machine learning in logistic regression, neural networks etc.
It has three parameters:
loc - mean, where the peak is. Default 0.
scale - standard deviation, the flatness of distribution. Default 1.
size - The shape of the returned array.
Example
Draw 2x3 samples from a logistic distribution with mean at 1 and stddev 2.0:
from numpy import random
x = random.logistic(loc=1, scale=2, size=(2,
3))
print(x)
Try it Yourself »
Visualization of Logistic Distribution
Example
from numpy import random
import matplotlib.pyplot as plt
import seaborn as sns
sns.distplot(random.logistic(size=1000), hist=False)
plt.show()
Result
Difference Between Logistic and Normal Distribution
Both distributions are near identical, but logistic distribution has more area under the tails. ie. It representage more possibility of occurence of an events further away from mean.
For higher value of scale (standard deviation) the normal and logistic distributions are near identical apart from the peak.
Example
from numpy import random
import matplotlib.pyplot as plt
import seaborn as sns
sns.distplot(random.normal(scale=2, size=1000), hist=False,
label='normal')
sns.distplot(random.logistic(size=1000), hist=False,
label='logistic')
plt.show()
Result
