Introduction After the WHO prequalified the first vaccine against mpox, we aimed to identify the influence of vaccine ...

Background The National Heart Failure Audit gathers data on patients coded at discharge (or death) as having heart failure as ...

Only two men can tell us if Elon Musk and Trump are truly, as of December 2025, “friends.” But the formal definition I used ...

Monte Carlo simulation of 10,000 paths shows 60% of scenarios place XRP between $1.04 and $3.40 by December 2026. The median outcome is $1.88 while only 10% of scenarios exceed $5.90. Downside tail ...

The total area under the curve must equal 1, representing the fact that the probability of some outcome occurring within the entire range is certain. \[\int_{-\infty}^{\infty}f\left(x\right)dx=1\] ...

Adam Hayes, Ph.D., CFA, is a financial writer with 15+ years Wall Street experience as a derivatives trader. Besides his extensive derivative trading expertise, Adam is an expert in economics and ...

Abstract: Given probability information, i.e., a probability measure m with a random variable x on the outcome space N, the expected value of that random variable is commonly used as some valuable ...

A discrete random variable is a type of random variable that can take on a countable set of distinct values. Common examples include the number of children in a family, the outcome of rolling a die, ...

Understanding Joint Probability Density Functions | Examples and Key Concepts In this video, we examine joint probability density functions (PDFs), a key concept in probability and statistics that ...

The RTG 3027 is a DFG-funded research inititative in analysis and probability at the University of Münster. The central theme is the rigorous mathematical understanding of how probabilistic systems, ...