# Bootstrap-$t$ confidence intervals

I'm writing a dissertation about bootstrap methods and the main book I'm using is Efron, B., & Tibshirani, R.J. (1994), An Introduction to the Bootstrap (1st ed.), Chapman and Hall/CRC. Now I need to deal with the bootstrap-$$t$$ confidence intervals but I got many doubts about it. I'm not a native speaker but I'll try to be as clear as possible.

We're in a situation where $$(x_1,\ldots,x_n)$$ is a fixed data set from an unknown distribution $$F$$, $$\theta$$ is a parameter, not necessary the mean, and $$\hat{\theta}=s(X_1,\ldots,X_n)$$ is an estimator.
We denote with $$\mathbf{x_1}^*,\dots,\mathbf{x_B}^*$$ the $$B$$ bootstrap samples and respectively with $$\hat{\theta}^*(1),\ldots,\hat{\theta}^*(B)$$ the bootstrap replications.
Following pages 160-161 of Efron's book, we use the following pivotal quantity to find bootstrap-$$t$$ intervals: $$Z^*_b={\hat{\theta}^*(b)-\hat{\theta}\over{\hat{se}^*(b)}},$$ where $$\hat{se}^*(b)$$ is the standard error of $$\hat{\theta}^*(b)$$. Now I got some questions to ask:

1. Why he took exactly $$Z^*_b$$ and not, for example, just $$\hat{\theta}^*(b)-\hat{\theta}$$? In fact, we can't say that $$Z^*_b$$ is normal or Student, we can't even say that it is close to a Student because we don't know the distribution $$F$$ and we don't know what is $$\theta$$. So we could find $$\alpha$$th percentiles that Efron finds in the same way with $$\hat{\theta}^*(b)-\hat{\theta}$$.

2. Why the intervals we found are for $$\theta$$, when in $$Z_b^*$$ the parameter $$\theta$$ doesn't appear?

3. Why in $$Z_b^*$$ we use $$\hat{se}^*$$ instead of $$\hat{se}$$?

4. the term $$\hat{\theta}$$ in $$Z_b^*$$ is for $$s(X_1,\ldots,X_n)$$, so a random variable, or for $$s(x_1,\ldots,x_n)$$, so a fixed value?

5. Which are the analogies with the $$t$$-Student?

If you can answer to only one question it will be a huge help for me. Thank you.