A histogram is considered (by statisticians) to be a non-parametric density estimator. Kernel density estimation is also considered a non-parametric density estimator.
The kernel function you use does not depend on the distribution of your data. If you have normal data, you can use an equation to provide the 'optimal' bandwidth in that case, but this is about bandwidth selection and not the kernel itself.
You can also, say, fit a spline to a univariate dataset. We can also call this non-parametric in the sense that the number of knot parameters, etc., can grow with the data size. This doesn't use any probabalistic machinery until you actually 'fit' the spline.
My takeaway from the original post is that you should probably be aware of how things work if you use them, or the defaults might bite you. I like histograms but I don't like bin-size/position optimization algorithms and just use lots of bins, I like kernel density estimates with the data points lightly shown, and in either case you're gonna fool yourself a couple times.
I think you have to look 'up' the stream. Physics has given statistics some of the biggest ideas in the recent past. I think biology is relatively mathless unless it's *omics crap, and then again you have non-statisticians contributing to stats. Also plenty of CS stuff for stats.
A histogram is considered (by statisticians) to be a non-parametric density estimator. Kernel density estimation is also considered a non-parametric density estimator.
The kernel function you use does not depend on the distribution of your data. If you have normal data, you can use an equation to provide the 'optimal' bandwidth in that case, but this is about bandwidth selection and not the kernel itself.
You can also, say, fit a spline to a univariate dataset. We can also call this non-parametric in the sense that the number of knot parameters, etc., can grow with the data size. This doesn't use any probabalistic machinery until you actually 'fit' the spline.
My takeaway from the original post is that you should probably be aware of how things work if you use them, or the defaults might bite you. I like histograms but I don't like bin-size/position optimization algorithms and just use lots of bins, I like kernel density estimates with the data points lightly shown, and in either case you're gonna fool yourself a couple times.