8 Density Estimation
Up to now, we have discussed various statistical methods for estimating parameters, testing hypotheses, and making predictions based on observed data. However, in many real-world applications, we often encounter situations where we need to estimate the underlying probability distribution of a dataset without assuming a specific parametric form. This is where density estimation comes into play.
Density estimation is a fundamental technique in statistics that allows us to estimate the probability density function (PDF). We know that, density does not always exist!
Reference
Silverman, B.W. (1986). Density Estimation for Statistics and Data Analysis, Springer.
University of Copenhagen, Density Estimation