Genuine Acceptance Rate, Genuine Rejection Rate, and their relationship with the other rates

We define $TI$ as the True Impostor attemptsz, $TG$ as the True Genuine attempts. This values depends on the type of recognition (identification or verification).

• The Genuine Acceptance Rate (GAR) is the number of genuine acceptances over the number of all the genuine claims.

$$GAR=\frac{GA}{TG}$$

• On the other hand, the Genuine Rejection Rate (GRR) ****is the number of genuine rejections, over the number of all impostor claims.

$$GRR=\frac{GR}{TI}$$

Note that $FRR+GAR=1$ and $FAR+GRR=1$.