Based on two large data samples from ISI databases, the author evaluated the Hirsch model, the Egghe-Rousseau model, and the
Glänzel-Schubert model of the h-index. The results support the Glänzel-Schubert model as a better estimation of the h-index
at both journal and institution levels. If hc, hp and hpc stand for the Hirsch estimation, Egghe-Rousseau estimation, and Glänzel-Schubert estimation, respectively, then an inequality
hp < h ∼ hpc < hc holds in most cases.