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Endogeneity in semiparametric threshold regression models with two threshold variables. (English) Zbl 07773935

Summary: This article considers a semiparametric threshold regression model with two threshold variables. The proposed model allows endogenous threshold variables and endogenous slope regressors. Under the diminishing threshold effects framework, we derive consistency and asymptotic results of our proposed estimator for weakly dependent data. We study the finite sample performance of our proposed estimator via small Monte Carlo simulations and apply our model to classify economic growth regimes based on both national public debt and national external debt.

MSC:

62P20 Applications of statistics to economics

References:

[1] Afonso, A.; Jalles, J. T., Growth and productivity: The role of government debt, International Review of Economics & Finance, 25, 384-407 (2013) · doi:10.1016/j.iref.2012.07.004
[2] Caner, M.; Grennes, T. J.; Köhler-Geib, F. F. N., Policy Research Working Paper Series, 5391, Finding the tipping point- when sovereign debt turns bad (2010), The World Bank
[3] Caner, M.; Hansen, B. E., Instrumental variable estimation of a threshold model, Econometric Theory, 20, 813-843 (2004) · Zbl 1071.62115 · doi:10.1017/S0266466604205011
[4] Cecchetti, S. G., Mohanty, M., Zampolli, F. (2011). The real effects of debt, BIS Working Papers 352, Bank of International Settlements.
[5] Chan, K. S., Consistency and limiting distribution of the least squares estimator of a threshold autoregressive model, The Annals of Statistics, 21, 1, 520-533 (1993) · doi:10.1214/aos/1176349040
[6] Checherita-Westphal, C.; Rother, P., The impact of high government debt on economic growth and its channels: An empirical investigation for the euro area, European Economic Review, 56, 7, 1392-1405 (2012) · doi:10.1016/j.euroecorev.2012.06.007
[7] Chen, H.; Chong, T.-L.; Bai, J., Theory and applications of TAR model with two threshold variables, Econometric Reviews, 31, 2, 142-170 (2012) · Zbl 1491.62152 · doi:10.1080/07474938.2011.607100
[8] Chen, X., Handbook of Econometrics, Chapter 76 large sample sieve estimation of semi-nonparametric models, 5549-5632 (2007)
[9] Chen, X.; Christensen, T. M., Optimal uniform convergence rates and asymptotic normality for series estimators under weak dependence and weak conditions, Journal of Econometrics, 188, 2, 447-465 (2015) · Zbl 1337.62101 · doi:10.1016/j.jeconom.2015.03.010
[10] Christopoulos, D.; McAdam, P.; Tzavalis, E., Dealing with endogeneity in threshold models using copulas, Journal of Business & Economic Statistics, 39, 1, 166-178 (2021) · Zbl 07925199 · doi:10.1080/07350015.2019.1647213
[11] Delgado, M. S.; Ozabaci, D.; Sun, Y.; Kumbhakar, S. C., Smooth coefficient models with endogenous environmental variables, Econometric Reviews, 39, 2, 158-180 (2020) · Zbl 1490.62097 · doi:10.1080/07474938.2018.1552413
[12] Gonzalo, J.; Wolf, M., Subsampling inference in threshold autoregressive models, Journal of Econometrics, 127, 2, 201-224 (2005) · Zbl 1335.62134 · doi:10.1016/j.jeconom.2004.08.004
[13] Hansen, B. E., Sample splitting and threshold estimation, Econometrica, 68, 3, 575-603 (2000) · Zbl 1056.62528 · doi:10.1111/1468-0262.00124
[14] Kourtellos, A.; Stengos, T.; Sun, Y., Endogeneity in semiparametric threshold regression, Econometric Theory, 38, 3, 562-595 (2022) · Zbl 1493.62609 · doi:10.1017/S0266466621000256
[15] Kourtellos, A.; Stengos, T.; Tan, C. M., The effect of public debt on growth in multiple regimes, Journal of Macroeconomics, 38, 35-43 (2013) · doi:10.1016/j.jmacro.2013.08.023
[16] Kourtellos, A.; Stengos, T.; Tan, C. M., Structural threshold regression, Econometric Theory, 32, 4, 827-860 (2016) · Zbl 1442.62747 · doi:10.1017/S0266466615000067
[17] Newey, W. K., Convergence rates and asymptotic normality for series estimators, Journal of Econometrics, 79, 1, 147-168 (1997) · doi:10.1016/S0304-4076(97)00011-0
[18] Phillips, P. C. B.; Su, L., Non-parametric regression under location shifts, The Econometrics Journal, 14, 3, 457-486 (2011) · Zbl 1284.62265 · doi:10.1111/j.1368-423X.2011.00344.x
[19] Poirson, H.; Ricci, L. A.; Pattillo, C. A., External debt and growth, IMF Working Papers, 02, 69, 1 (2002) · doi:10.5089/9781451849073.001
[20] Reinhart, C. M.; Rogoff, K. S., Growth in a time of debt, American Economic Review, 100, 2, 573-578 (2010) · doi:10.1257/aer.100.2.573
[21] Schclarek, A., Debt and economic growth in developing and industrial countries (2004), Lund University, Department of Economics
[22] Seo, M. H.; Linton, O., A smoothed least squares estimator for threshold regression models, Journal of Econometrics, 141, 2, 704-735 (2007) · Zbl 1418.62355 · doi:10.1016/j.jeconom.2006.11.002
[23] Seo, M. H.; Shin, Y., Dynamic panels with threshold effect and endogeneity, Journal of Econometrics, 195, 2, 169-186 (2016) · Zbl 1443.62504 · doi:10.1016/j.jeconom.2016.03.005
[24] Stone, C. J., The use of polynomial splines and their tensor products in multivariate function estimation, The Annals of Statistics, 22, 1, 118-184 (1994) · Zbl 0827.62038
[25] Wang, Q.; Phillips, P. C. B., Structural nonparametric cointegrating regression, Econometrica, 77, 6, 1901-1948 (2009) · Zbl 1182.62088
[26] Wang, Q.; Phillips, P. C. B., Nonparametric cointegrating regression with endogeneity and long memory, Econometric Theory, 32, 2, 359-401 (2016) · Zbl 1442.62758 · doi:10.1017/S0266466614000917
[27] Yen, H.; Nhan, N. T.; Trang, T. T. N.; Pham, A. T. L.; Kreinovich, V.; Thach, N. N.; Trung, N. C.; Van Thanh, D., Beyond Traditional Probabilistic Methods in Economics, 809, The threshold effect of government’s external debt on economic growth in emerging countries, 440-451 (2019), Springer International Publishing
[28] Yu, P., Likelihood estimation and inference in threshold regression, Journal of Econometrics, 167, 1, 274-294 (2012) · Zbl 1441.62910 · doi:10.1016/j.jeconom.2011.12.002
[29] Yu, P., Adaptive estimation of the threshold point in threshold regression, Journal of Econometrics, 189, 1, 83-100 (2015) · Zbl 1337.62066 · doi:10.1016/j.jeconom.2013.09.002
[30] Yu, P.; Liao, Q.; Phillips, P. C. B., New control function approaches in threshold regression with endogeneity, Econometric Theory, 1-55 (2020) · doi:10.1017/S0266466623000014
[31] Yu, P.; Phillips, P. C., Threshold regression with endogeneity, Journal of Econometrics, 203, 1, 50-68 (2018) · Zbl 1386.62077 · doi:10.1016/j.jeconom.2017.09.007
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