Individuals now engage with agentic AI chatbots to perform a growing number of tasks. They can help a person shop for a new ...

Giulio Occhionero argues that option pricing models still contain hidden distortions and mispricings, despite decades of ...

Explore how AI in food safety improves risk detection, predictive analytics, traceability, cold-chain monitoring, and recall ...

Probability underpins AI, cryptography and statistics. However, as the philosopher Bertrand Russell said, “Probability is the most important concept in modern science, especially as nobody has the ...

Discover how the Cboe SKEW Index assesses market volatility and perceived tail-risk in the S&P 500, despite its limitations ...

The FIND function allows you to find a text string within another. It returns the position at which a character or string begins within another text string. The LEN function calculates the length of ...

This research provides density functions and descriptive statistics for the distance between points for basic shapes in Cartesian space. Both Euclidean and Rectilinear Distances are determined for ...

Abstract: We provide a mathematical proof that the convolution or “faltung” method of adding probability distributions is equivalent to the characteristic function method that is widely accepted by ...

Life is uncertain. None of us know what is going to happen. We know little of what has happened in the past or is happening now outside our immediate experience. Uncertainty has been called the ...

Abstract: Non-linear filters consider probability density functions in various non-parametric representations. They often suffer from the curse of dimensionality. Computation of weights over a grid of ...