Objective probability estimates the odds of an event occurring through data analysis. It uses concrete measures instead of guesses to provide a reliable forecast.

Stein's method has emerged as a powerful and versatile tool in probability theory for deriving error bounds in distributional approximations. Originally developed to ...

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 ...

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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 ...

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 ...

Researchers from the European Central Bank, European Stability Mechanism, and Universität Bonn propose a new forecasting method called parametric tilting that helps economists incorporate new ...