I am trying to rationalize the meaning of the term kernel, especially when it is associated with distributions. The English and German etymology all show that the literal meaning is a corn (English) and grain (in German). For example the term Gaussian kernel is often used in digital filtering to remove noise from signal. According to the Earliest Known Uses of Math Words website kernel entered statistics with the use of Fourier theory in describing estimates for spectral density and probability density functions. However it does not explain the choice.

What is the rationalization behind the choice of this word, I mean what is common in the original meaning of kernel and window functions as shown on Wikipedia? Window makes much more sense.

I am trying to rationalize the meaning of the term kernel, especially when it is associated with distributions. The English and German etymology all show that the literal meaning is corn (English) and grain (in German). For example the term Gaussian kernel is often used in digital filtering to remove noise from signal. According to the Earliest Known Uses of Math Words website kernel entered statistics with the use of Fourier theory in describing estimates for spectral density and probability density functions. However it does not explain the choice.

What is the rationalization behind the choice of this word, I mean what is common in the original meaning of kernel and window functions as shown on Wikipedia? The term window function makes much more sense.

I am trying to rationalize the meaning of the term kernel, especially when it is associated with distributions. The English and German etymology all show that the literal meaning is a corn (English) and grain (in German). For example the term Gaussian kernel is often used in digital filtering to remove noise from signal. According to Earliest Known Math Words website kernel entered statistics with the use of Fourier theory in describing estimates for spectral density and probability density functions. However it does not explain the choice.

What is the rationalization behind the choice of this word, I mean what is common in the original meaning of kernel and window functions as shown on Wikipedia? Window makes much more sense.

I am trying to rationalize the meaning of the term kernel, especially when it is associated with distributions. The English and German etymology all show that the literal meaning is a corn (English) and grain (in German). For example the term Gaussian kernel is often used in digital filtering to remove noise from signal. According to the Earliest Known Uses of Math Words website kernel entered statistics with the use of Fourier theory in describing estimates for spectral density and probability density functions. However it does not explain the choice.

What is the rationalization behind the choice of this word, I mean what is common in the original meaning of kernel and window functions as shown on Wikipedia? Window makes much more sense.