Sieve Bootstrap for Fixed-b Phillips–Perron Unit Root Test
Zhenxin Wang,
Shaoping Wang () and
Yayi Yan
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Zhenxin Wang: Huazhong University of Science and Technology
Shaoping Wang: Huazhong University of Science and Technology
Yayi Yan: Shanghai University of Finance and Economics
Computational Economics, 2024, vol. 64, issue 6, No 2, 3205 pages
Abstract:
Abstract This paper extends the fixed-b Phillips–Perron unit root test, namely PP(fb), by using a sieve bootstrap method to deal with serial-correlated errors, especially negative moving average errors. We derive the asymptotic distribution of the proposed $$\mathrm {PP^b(fb)}$$ PP b ( fb ) test statistics. Our simulation results show that the $$\mathrm {PP^b(fb)}$$ PP b ( fb ) test substantially improves the size performance without losing power when the error innovations have negative autoregressive or moving average components. Applying the $$\mathrm {PP^b(fb)}$$ PP b ( fb ) test to both the inflation rates in the U.S. and the Chinese stock market index, we find that the inflation follows a random walk process, just as the Chinese stock market does.
Keywords: Fixed-b asymptotics; Inflation rate; Phillips–perron unit-root test; Serial correlations; Sieve bootstrap (search for similar items in EconPapers)
JEL-codes: C12 C22 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s10614-024-10553-0
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