Nonparametric methods provide a flexible framework for estimating the probability density function of random variables without imposing a strict parametric model. By relying directly on observed data, ...

We propose a method for reconstructing a probability density function (pdf) from a sample of an n-dimensional probability distribution. The method works by iteratively applying some simple ...

This paper develops a new scheme for improving an approximation method of a probability density function, which is inspired by the idea in the Hilbert space projection theorem. Moreover, we apply ...

Hillel Furstenberg, 84, and Gregory Margulis, 74, both retired professors, share the mathematics equivalent of a Nobel Prize. By Kenneth Chang Two mathematicians who showed how an underappreciated ...

To introduce the basic ideas and methods of Probability, developing the concepts of random variables, expectations and variances. To look at some simple applications of these ideas and methods.

Two mathematicians who showed how an underappreciated branch of the field could be employed to solve important problems share this year’s Abel Prize, the mathematics equivalent of a Nobel. The ...

Analysis 1 (MATH11006) and Calculus 1 (MATH11007), or equivalent. To introduce the basic ideas and methods of Probability, developing the concepts of random variables, expectations and variances. To ...