Single step estimation of ARMA roots for nonfundamental nonstationary fractional models Articles uri icon

publication date

  • May 2022

start page

  • 455

end page

  • 476


  • 2


  • 25

International Standard Serial Number (ISSN)

  • 1368-4221

Electronic International Standard Serial Number (EISSN)

  • 1368-423X


  • We propose a single step estimator for the autoregressive and moving average roots (without imposing causality or invertibility restrictions) of a nonstationary Fractional ARMA process. These estimators employ an efficient tapering procedure, which allows for a long memory component in the process, but avoids estimating the nonstationarity component, which can be stochastic and/or deterministic. After selecting automatically the order of the model, we robustly estimate the AR and MA roots for trading volume for the thirty stocks in the Dow Jones Industrial Average Index in the last decade. Two empirical results are found. First, there is strong evidence that stock market trading volume exhibits nonfundamentalness. Second, noncausality is more common than noninvertibility.


  • Economics


  • non-causality; non-invertibility; detrending; tapering