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 ...

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, ...

Probability theory is the branch of mathematics concerned with probability. Although there are several different probability interpretations, probability theory treats the concept in a rigorous ...

Source: Thunder Bay, Canada. Used with permission of Dan Hunt, MD. Coincidences attract our attention because they seem weird, odd, or unlikely. Their improbability stimulates wonder—“what are the ...

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 ...