Algorithm 2 Bounded EWMA Threshold Recalibration

Require: ${\theta }_t\in [{\theta }_{\min },{\theta }_{\max }]$, $R_i\in [0,1]$ from an authenticated accepted message, $\lambda \in [0,1]$, step bound $\eta \ge 0$

1:$\widehat{\theta }\leftarrow \lambda R_i+(1-\lambda ){\theta }_t$ 2:$\widehat{\theta }\leftarrow \min ({\theta }_{\max },\max ({\theta }_{\min },\widehat{\theta }))$ 3:${\theta }_{t+1}\leftarrow \min ({\theta }_t+\eta ,\max ({\theta }_t-\eta ,\widehat{\theta }))$ 4:EmitMetric  $\left({\theta }_{t+1}\right)$ 5:return  ${\theta }_{t+1}$