Hey, Harry! While you are correct that there is indeed a continuous uniform distribution, there is also a discrete version of the same distribution. In this video we wish to present the Discrete Uniform Distribution, since we believe it is one of the most intuitive ones to comprehend and a great introduction to the world of probability distributions. The 365 Team
Hello, Harry! Technically, the Discrete Uniform and Continuous Uniform are different distributions, which share the main characteristic that intervals of the same size have the same probability of occurring, regardless of starting and ending points. Of course, this is much more apparent with discrete variables, since each outcome has its own probability of occurring. Going back to your question, up to my knowledge, there are no two other distributions, one discrete and one continuous that share the same name. There are relationships between different pairs of discrete and continuous distributions with each having a distinctly different name. Best, The 365 Team