Mostly Non-Parametric. Parametric makes assumptions on my data/random-variables, for instance, that they are normally distributed. Non-parametric does not.
The methods are generally intended for description rather than formal inference
Methods
Uniform
Epanechnikov
Biweight
Triweight
Gaussian
non-negative
it’s a type of PDF that it is symmetric
real-valued
symmetric
integral over function is equal to 1
non-parametric
calculates kernel distributions for every sample point, and then adds all the distributions
Uniform, Triangle, Quartic, Triweight, Gaussian, Cosine, others…
Cubic Spline
A cubic spline is a function created from cubic polynomials on each Cubic Spline between-knot interval by pasting them together twice continuously
differentiable at the knots.