Two Estimators for a Stretched Interval
A sample from the Uniform(θ, 3θ) distribution (θ > 0 unknown) is 4, 5, 7, 10. Let θ̂_MoM be the method of moments estimate of θ and θ̂_ML the maximum likelihood estimate. Compute θ̂_ML − θ̂_MoM. Give an exact fraction.
Related problems & prerequisites
Worth solving first
Source: Original problem written for AxiomIQ.