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scipy stats.cosine() | Python
• Last Updated : 20 Mar, 2019

scipy.stats.cosine() is an cosine 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
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 : cosine continuous random variable

Code #1 : Creating cosine continuous random variable

 `from` `scipy.stats ``import` `cosine``numargs ``=` `cosine.numargs``[] ``=` `[``0.6``, ] ``*` `numargs``rv ``=` `cosine()`` ` `print` `(``"RV : \n"``, rv)`

Output :

```RV :
<scipy.stats._distn_infrastructure.rv_frozen object at 0x000001FDC89DEE10>```

Code #2 : cosine random variates and probability distribution function.

 `import` `numpy as np``quantile ``=` `np.arange (``0.01``, ``1``, ``0.1``)``  ` `# Random Variates``R ``=` `cosine.rvs(scale ``=` `2``,  size ``=` `10``)``print` `(``"Random Variates : \n"``, R)`` ` `# PDF``R ``=` `cosine.pdf(quantile, loc ``=` `0``, scale ``=` `1``)``print` `(``"\nProbability Distribution : \n"``, R)`

Output:

```Random Variates :
[ 1.2323289   2.49938238  0.29072394 -1.10925673  0.55881836  1.70470811
1.29090489  2.64865261  4.32789346  0.14597439]

Probability Distribution :
[0.31830193 0.31734797 0.3148134  0.31072354 0.30511926 0.29805655
0.28960598 0.27985198 0.26889203 0.25683561]```

Code #3 : Graphical Representation.

 `import` `numpy as np``import` `matplotlib.pyplot as plt`` ` `distribution ``=` `np.linspace(``0``, np.minimum(rv.dist.b, ``5``))``print``(``"Distribution : \n"``, distribution)`` ` `plot ``=` `plt.plot(distribution, rv.pdf(distribution))`

Output :

```Distribution :
[0.         0.06411414 0.12822827 0.19234241 0.25645654 0.32057068
0.38468481 0.44879895 0.51291309 0.57702722 0.64114136 0.70525549
0.76936963 0.83348377 0.8975979  0.96171204 1.02582617 1.08994031
1.15405444 1.21816858 1.28228272 1.34639685 1.41051099 1.47462512
1.53873926 1.60285339 1.66696753 1.73108167 1.7951958  1.85930994
1.92342407 1.98753821 2.05165235 2.11576648 2.17988062 2.24399475
2.30810889 2.37222302 2.43633716 2.5004513  2.56456543 2.62867957
2.6927937  2.75690784 2.82102197 2.88513611 2.94925025 3.01336438
3.07747852 3.14159265]
```

Code #4: Varying Location and Scale

 `import` `matplotlib.pyplot as plt``import` `numpy as np`` ` `x ``=` `np.linspace(``0``, ``5``, ``100``)`` ` `# Varying positional arguments``y1 ``=` `cosine.pdf(x, ``1``, ``6``)``y2 ``=` `cosine.pdf(x, ``1``, ``4``)``plt.plot(x, y1, ``"*"``, x, y2, ``"r--"``)`

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