Abstract: This work provides new bounds on the difference between the entropies of two discrete random variables in terms of the local and total variation distances between their probability mass ...

The mathematician Daniel Litt has driven social media users to distraction with a series of simple-seeming but counterintuitive probability puzzles. In late January, Daniel Litt posed an innocent ...

The host invites you to pick a door, any door. Let’s say you pick door one. The host throws open one of the doors you did not select, revealing a goat. Then the host gives you the option of switching ...

Cumulative probability is an essential concept in the world of statistics and probability theory. It refers to the likelihood that a random variable will take a value equal to or less than a specific ...

Abstract: Learning the joint probability of random variables (RVs) is the cornerstone of statistical signal processing and machine learning. However, direct nonparametric estimation for ...

Roll a die and ask students to identify the random variable. Since a die can only take on values of 1, 2, 3, 4, 5, or 6, this is a discrete random variable. Repeat ...