Bayesian inference of a uniform distribution

Thomas Minka
MIT Media Lab note (revised 1/25/01)

This note derives the posterior, the evidence, and the predictive density for a uniform distribution, given a conjugate parameter prior. These provide various Bayesian answers to the ``taxicab'' problem: viewing a city from the train, you see a taxi numbered X. Assuming taxicabs are consecutively numbered, how many taxicabs are in the city?


Last modified: Fri Dec 10 14:24:28 GMT 2004