Jaro similarity

Caution

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$$sim_{Jaro}(x, y) = \begin{cases} 0 &\text{if }m = 0\\ \frac{1}{3}\left(\frac{m}{|x|} + \frac{m}{|y|} + \frac{m-t}{m}\right) &\text{otherwise} \end{cases}$$

Where:

• $|x|$ is the length of the string $x$;
• $m$ is the number of matching characters
• $t$ is the number of transpositions

Reading

• Jaro, Matthew A.. “Advances in Record-Linkage Methodology as Applied to Matching the 1985 Census of Tampa, Florida.” Journal of the American Statistical Association 84 (1989): 414-420.