Hall-Tideman Index

Definition

The Hall-Tideman index is a metric useful for the purpose of measuring Concentration Risk diversity or inequality metrics. An alternative name is Rosenbluth Index.

Details

More precisely, if we have n values $E_{i}$ summing up to a total of

$E_{T}=\sum _{i=1}^{n}E_{i}$

and each value fraction is defined as

$w_{i}={\frac {E_{i}}{E_{T}}}$

Then the HTI index is defined as

$HTI={\frac {1}{2\sum _{i=1}^{n}iw_{i}-1}}$

See Also

• The Gini Index is a related measure

Implementation

Open Source implementations of the HTI index are available in

• the Python library Concentration Library

References

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