Is there any built in function in numpy to take moving skewness? - python

In numpy is there any built-in function to calculate moving skewness of numpy array? I know there are basic functions like mean, median, mode, min, max etc. But I wonder if there are any functions for calculating moving skewness, kurtosis and higher moments?

You should use SciPy for calculating skewness, kurtosis, etc.
https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.kurtosis.html
https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.skew.html

Already got solution here. There is no built-in function in numpy but we can use scipy and numpy combine to achieve the goal.

Related

Is there a NumPy equivalent for SciPy's cKDTree function?

I'm trying to convert a radial distribution function for my use, but the code I'm looking at uses a cKDTree. The problem is that I want to use only numpy in my function.
Does anyone know an equivalent function in numpy that can be used or a way to make an equivalent "tree"?

Is there a way to calculate cumulative distribution function without using scipy?

Is there a way to calculate the cumulative distribution function (using the probability density function)? I've seen many scipy and numpy ideas out, but is there any other way?

Custom Interpolation on Pandas quantile function?

I need to implement R's quantile function type 3 in pandas, which is according to documentation (https://www.rdocumentation.org/packages/stats/versions/3.6.2/topics/quantile), nearest even order statistic.
Pandas only has basic ones like lower, higher, linear, nearest. (https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.quantile.html)
How do I implement the nearest even order interpolation on pandas?

Rolling first derivative and second derivative in pandas

I'm trying to create a function to find the rolling derivatives (first and second) in Pandas.
I find that df.diff() is quite convenient.
I want to find the derivatives with the rolling window value = 40.
For the first derivative,
noise = np.random.normal(size=int(1e4))
noise=pd.DataFrame(noise)
first_derivative=noise.diff(periods=40)
Is it correct if I use this for the second derivative?
second_derivative=noise.diff(periods=40).diff()
I'm confused, but if I put periods=40 again in the second .diff() then it would be 40*40 rolling window (for the second derivative).
Thank you!
Pandas is not a mathematical library, and its diff() operation just take discrete differences among elements, not derivatives.
In order to take derivatives, I would recommend you to use SymPy, a nice Python library for symbolic mathematics. Check documentation for further details.
Example:
from sympy import *
>> diff(cos(x), x)
-sin(x)

What is the corresponding function for corrmtx (in MATLAB) in Python?

I'm translating some code from MATLAB to Python and I'm stuck with the corrmtx() MATLAB function. Is there any similar function in Python, or how could I replace it?
The spectrum package has such a function.
How about:
http://docs.scipy.org/doc/scipy/reference/generated/scipy.linalg.toeplitz.html
The matlab docs for corrmtx state:
X = corrmtx(x,m) returns an (n+m)-by-(m+1) rectangular Toeplitz matrix
X, such that X'X is a (biased) estimate of the autocorrelation matrix
for the length n data vector x.
The scipy function gives the Toeplitz matrix, although I'm not sure if the implementations are identical.
Here is a list of alternatives that can help you in translating your code, all of which contain that function:
scipy (toeplitz | corrmtx)
spectrum (corrmtx)
The following is a link to another post that tells you how to use numpy for the auto correlation since it seems to be the default funcationality of corrmtx
Additional Information:
Finding the correlation matrix in Python
Unbiased Estimation of Covariance Matrix

Categories