2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64833When studying convergence of measures, an important issue is the choice of probability metric. In this review, we provide a summary and some new results concerning bounds among ten important probability metrics/distances that are used by statisticians and probabilists. We focus on these metrics because they are either well-known, commonly used, or admit practical bounding techniques. We summarize these relationships in a handy reference diagram, and also give examples to show how rates of convergence can depend on the metric chosen.To appear, International Statistical Review. Related work at http://www.math.hmc.edu/~su/papers.htmlProbability60B10text