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Unit-root tests for explosive behavior

Author

Listed:
  • Jesús Otero

    (Universidad del Rosario)

  • Christopher F Baum

    (Boston College
    DIW Berlin)

Abstract

We present a new command, radf, that tests for explosive behavior in time series. The command computes the right-tail augmented Dickey and Fuller (1979, Journal of the American Statistical Association 74: 427–431) unit- root test and its further developments based on supremum statistics derived from augmented Dickey–Fuller-type regressions estimated using recursive windows (Phillips, Wu, and Yu, 2011, International Economic Review 52: 201–226) and recursive flexible windows (Phillips, Shi, and Yu, 2015, International Economic Review 56: 1043–1078). It allows for the lag length in the test regression and the width of rolling windows to be either specified by the user or determined using data-dependent procedures, and it performs the date-stamping procedures advo- cated by Phillips, Wu, and Yu (2011) and Phillips, Shi, and Yu (2015) to identify episodes of explosive behavior. It also implements the wild bootstrap proposed by Phillips and Shi (2020, Handbook of Statistics: Financial, Macro and Micro Econometrics Using R, Vol. 42, 61–80) to lessen the potential effects of uncondi- tional heteroskedasticity and account for the multiplicity issue in recursive testing. The use of radf is illustrated with an empirical example.

Suggested Citation

  • Jesús Otero & Christopher F Baum, 2021. "Unit-root tests for explosive behavior," Stata Journal, StataCorp LP, vol. 21(4), pages 999-1020, December.
    • Handle: RePEc:tsj:stataj:v:21:y:2021:i:4:p:999-1020
    DOI: 10.1177/1536867X211063405
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    Cited by:

    1. Zoë Venter, 2021. "Honing in on Housing," Working Papers REM 2021/0163, ISEG - Lisbon School of Economics and Management, REM, Universidade de Lisboa.
    2. Esposti, Roberto, 2024. "Dating common commodity price and inflation shocks with alternative approaches," Bio-based and Applied Economics Journal, Italian Association of Agricultural and Applied Economics (AIEAA), vol. 13(2), July.
    3. Festus Victor Bekun & Abdulkareem Alhassan & Ilhan Ozturk & Obadiah Jonathan Gimba, 2022. "Explosivity and Time-Varying Granger Causality: Evidence from the Bubble Contagion Effect of COVID-19-Induced Uncertainty on Manufacturing Job Postings in the United States," Mathematics, MDPI, vol. 10(24), pages 1-17, December.
    4. Jesús Otero & Theodore Panagiotidis & Georgios Papapanagiotou, 2021. "Testing for exuberance in house prices using data sampled at different frequencies," Working Paper series 21-13, Rimini Centre for Economic Analysis.
    5. Yuchao Fan, 2022. "Dissecting the dot-com bubble in the 1990s NASDAQ," Papers 2206.14130, arXiv.org, revised Jul 2022.
    6. Roberto Esposti, 2022. "Who Moves First? Commodity Price Interdependence Through Time-Varying Granger Causality," Working Papers 471, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.

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