The Earth Institute Columbia University

Intuition for joint probability mass functions: an example

We toss an unbiased coin four times, and choose \(\Omega=\{H,T\}^4\) for our sample space. We write \(X\) for the number of heads in the first three tosses and \(Y\) for the number of heads in the ...
The Earth Institute Columbia University

Intuition for joint probability density functions: an example

The joint probability density function \(f\) of two random variables \(X\) and \(Y\) satisfies, for every \(a_1 b_1\) and \(a_2 b_2\), \[ P(a_1\le X\le b_1, a_2\le Y ...
GitHub

The Multivariate Event Modeller (MEM) is a tool designed for undertaking joint probability analysis of extremes for up to 10 variables.

The joint probability of two or more variables being “extreme” is relevant in Flood and Coastal Risk Management (FCRM) in various contexts, including: Assessing the likelihood of extreme peak flow ...
IEEE

Cross-Subject Seizure Detection by Joint-Probability-Discrepancy-Based Domain Adaptation

Abstract: Detection of epileptic seizure from offline electroencephalogram (EEG) is of great significance in clinical diagnosis. Traditional epileptic seizure detection methods are usually based on ...
IEEE

Generating Medical Report via Joint Probability Graph Reasoning

Abstract: In medical X-ray images, multiple abnormalities may occur frequently. However, existing report generation methods cannot efficiently extract all abnormal features, resulting in incomplete ...