A probability density function (PDF) describes the likelihood of different outcomes for a continuous random variable.

Let X 1, X 2, ⋯ be independent identically distributed random variables having a common probability density function f. After a so-called kernel class of estimates f n of f based on X 1, ⋯, X n was ...

In some situations only the statistical properties of such objects are desired: the three-dimensional probability density function. This article demonstrates that under special symmetries this ...

In this paper, we propose a functional linear regression model in the space of probability density functions. We treat a cross-sectional distribution of individual earnings as an infinite dimensional ...

Building on the widely-used double-lognormal approach by Bahra (1997), this paper presents a multi-lognormal approach with restrictions to extract risk-neutral probability density functions (RNPs) for ...