*5.2. Bootstrap Confidence Intervals*

In this paragraph, we propose to employ two additional confidence intervals based on parametric bootstrap methods: percentile bootstrap technique (Boot-p) and bootstrap-t method (Boot-t). Obtaining the step-by-step illustrations of the two ways is shown briefly below; for more information, see Ref. [46].

## 5.2.1. Methods of Boot-p


$$\left(\mathbb{R}\_{\text{Boot}-\text{p}}\left(\frac{\omega}{2}\right), \mathbb{R}\_{\text{Boot}-\text{p}}\left(1 - \frac{\omega}{2}\right)\right).$$

5.2.2. Methods of Boot-t


$$\mathbf{T}^\* = \frac{\sqrt{\mathbf{m}} \left( \hat{\mathbb{R}}^\* - \hat{\mathbb{R}} \right)}{\sqrt{\mathbf{v} \left( \mathbb{R}^\* \right)}}$$

• Step 2 should be repeated Np times.

