Confidence Sets for the Emergence, Collapse, and Recovery Dates of a Bubble
Econometrics
2026-04-21 v2 Methodology
Abstract
We propose constructing confidence sets for the emergence, collapse, and recovery dates of a bubble separately by inverting tests for the location of the break date. We examine both likelihood ratio-type tests and the Elliott-Muller-type (2007) tests for detecting break locations. The limiting distributions of these tests are derived under the null hypothesis, and their asymptotic consistency under the alternative is established. Finite-sample properties are evaluated through Monte Carlo simulations. The results indicate that combining different types of tests effectively controls the empirical coverage rate while maintaining a reasonably small length of the confidence set.
Keywords
Cite
@article{arxiv.2511.16172,
title = {Confidence Sets for the Emergence, Collapse, and Recovery Dates of a Bubble},
author = {Eiji Kurozumi and Anton Skrobotov},
journal= {arXiv preprint arXiv:2511.16172},
year = {2026}
}