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Hill's effective number of classes and related classical indices
| Diversity order | Hill's number of classesa | Ecological index |
|---|---|---|
| α |  |
 |
| 0 |  |
Richness |
| 1 |  |
Shannon |
| 2 |  |
Simpson |
| ∞ |  |
Berger-Parker |
n is the number of classes of a given distribution, pi is the frequency of the class, and i, vα (n, p) is the efficient number of classes of order α diversity for the given distribution.
