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A New Solution to Time Series Inference in Spurious Regression Problems

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  • Hrishikesh D. Vinod

    (Fordham University, Department of Economics)

Abstract

Phillips (1986) provides asymptotic theory for regressions that relate nonstationary time series including those integrated of order 1, I(1). A practical implication of the literature on spurious regression is that one cannot trust the usual confidence intervals. In the absence of prior knowledge that two series are cointegrated, it is therefore recommended that after carrying out unit root tests we work with differenced or detrended series instead of original data in levels. We propose a new alternative for obtaining confidence intervals based on the Maximum Entropy bootstrap explained in Vinod and Lopez-de-Lacalle (2009). An extensive Monte Carlo simulation shows that our proposal can provide more reliable conservative confidence intervals than traditional, differencing and block bootstrap (BB) intervals.

Suggested Citation

  • Hrishikesh D. Vinod, 2010. "A New Solution to Time Series Inference in Spurious Regression Problems," Fordham Economics Discussion Paper Series dp2010-01, Fordham University, Department of Economics.
  • Handle: RePEc:frd:wpaper:dp2010-01
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    File URL: https://archive.fordham.edu/ECONOMICS_RESEARCH/PAPERS/dp2010_01_vinod.pdf
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    Cited by:

    1. Yalta, A. Talha, 2011. "Analyzing energy consumption and GDP nexus using maximum entropy bootstrap: The case of Turkey," Energy Economics, Elsevier, vol. 33(3), pages 453-460, May.
    2. A. Talha Yalta, 2016. "Bootstrap Inference of Level Relationships in the Presence of Serially Correlated Errors: A Large Scale Simulation Study and an Application in Energy Demand," Computational Economics, Springer;Society for Computational Economics, vol. 48(2), pages 339-366, August.
    3. Fong, Wai Mun, 2013. "Footprints in the market: Hedge funds and the carry trade," Journal of International Money and Finance, Elsevier, vol. 33(C), pages 41-59.
    4. Talha Yalta, A. & Cakar, Hatice, 2012. "Energy consumption and economic growth in China: A reconciliation," Energy Policy, Elsevier, vol. 41(C), pages 666-675.

    More about this item

    Keywords

    Bootstrap; simulation; confidence intervals;

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation

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