Rayleigh Distribution

Author: heysushil

20.Rayleigh_Distribution.py

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+'''
+Rayleigh Distribution using matplotlib.pyplot, numpy.random module and seaborn librarys by hey sushil:
+
+Rayleigh Distribution kya hai?
+
+1. Ye continuous probability distribution hai.
+2. Rayleigh Distribution ka use signal processing ke liye hota hai. 
+3. Rayleigh Distribution, Weibull Distribution ka special case hai jisme scale paramether 2 rakhna hoga.
+4. Iske alawa Rayleigh Distribution me agar scale 1 ho aur yahi same case Chi-square distribution me df(degree of freedom) 2 kare to ye ek jaise honge.
+
+Rayleigh Distribution 4 field me alag alag tarikese use me aata hai. Ye kaon-kaon se hain ye dekhte hain:
+
+1. Communications: To model multiple paths of dense scattered signals reaching a receiver.
+2. Physical sciences: To model wind speed, wave heights and sound/light radiation.
+3. Engineering: To measure the lifetime of an object, where the lifetime depends on the object’s age. 
+For example: resistors, transformers, and capacitors in aircraft radar sets.
+4. Medical: Imaging science, to model noise variance in magnetic resonance imaging.
+
+numpy.random.rayleigh() ke arguments:
+
+1. scale: (Standard deviation defualt 1.0) Isse kitna flat distribution hoga ye decide karte hain.
+2. size: Matrix or array ka shape kitna rakhoge.
+'''
+
+import numpy.random as r
+import matplotlib.pyplot as plt
+import seaborn as sns
+
+ray = r.rayleigh(size=(10))
+# print('\nRay: ',ray)
+
+# seaborn
+sns.distplot(r.rayleigh(size=(100)), hist=False, label='1.0')
+sns.distplot(r.rayleigh(scale=2.0, size=(100)), hist=False, label='2.0')
+sns.distplot(r.rayleigh(scale=3.0, size=(100)), hist=False, label='3.0')
+sns.distplot(r.rayleigh(scale=4.0, size=(100)), hist=False, label='4.0')
+
+# plt
+plt.xlabel('Rang of x')
+# plt.xlim(0, 10)
+# plt.ylim(0,0.5)
+plt.ylabel('Range of y')
+plt.title('Rayleigh Distribution')
+plt.show()