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Extend Monte Carlo simulations

The Monte Carlo simulations are limited for a few reasons.

  • I just show size results, nothing about power.
  • The comparison to other bootstrap approaches is pretty limited. (Admittedly, that's because I'm not aware of many bootstrap results for non-nested models.)
  • Just one data generating process, and a somewhat unusual one at that.

So I need to start thinking about how to make progress on that.

Edit and proofread mathematical appendix

Basic steps:

  • Theorem 1, statement and proof
  • Theorem 2, add statement and proof
  • Lemma A1
  • Lemma A2
  • Lemma A3
  • Lemma A4
  • Lemma A5, convergence of bootstrap variance
  • Lemma A6, normality of bootstrap terms
  • Basic introduction to the appendix

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