A new COPILOT function in Excel lets you use AI in a formula. The new skill is now available to Microsoft 365 insiders. Reduces some of the complexity involved in creating formulas. Get more in-depth ...

We obtain a closed form expression for the joint probability mass function of the occupation times for a Three-State Markov chain. Our representation extends the long-standing result for a Two-State ...

Muscle function and composition are important indicators of age-related health. However, current assessment methods are often complex and expensive, making the early detection of related problems ...

Add a description, image, and links to the bell-curve-probability-density-function topic page so that developers can more easily learn about it.

Abstract: Estimating the probability mass function (PMF) of a set of discrete random variables using a low-rank model for the PMF tensor has recently gained much attention. However, detecting the rank ...

Abstract: Estimating the joint probability mass function (PMF) of a set of random variables from partially observed data is a crucial part of statistical learning and data analysis, with applications ...

The COS method was introduced in Fang & Oosterlee (2008) and then was applied to pricing a variety of stock options for continuous random variables. This paper adapts the Fourier-cosine series (COS) ...