Advances in Applied Probability, Vol. 19, No. 3 (Sep., 1987), pp. 632-651 (20 pages) We consider a class of functions on [0,∞), denoted by Ω , having Laplace transforms with only negative zeros and ...

This project focuses on estimating the probability density function (PDF) of an unknown random variable using only observed samples. Instead of assuming any analytical or parametric distribution (such ...

A review of a world that you've probably encountered before: real-valued random variables, probability density functions, and how to deal with multivariate (i.e. high dimensional) probablity densities ...

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 ...

Abstract: When assessing product life, the survival analysis is generally conducted in a time or usage domain. In certain instances, it is beneficial to investigate the impact of joint variables on ...

The world is full of uncertainty: accidents, storms, unruly financial markets, noisy communications. The world is also full of data. Probabilistic modeling and the related field of statistical ...

This project studies how a real-world variable behaves after applying a non-linear transformation and how its probability density function (PDF) can be learned directly from data. The dataset used is ...