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On the asymptotic normality of Fourier flexible form estimates

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  1. Alexandre Belloni & Victor Chernozhukov & Denis Chetverikov & Kengo Kato, 2013. "On the asymptotic theory for least squares series: pointwise and uniform results," CeMMAP working papers CWP73/13, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
  2. Enders, Walter & Holt, Matthew T., 2011. "Breaks, bubbles, booms, and busts: the evolution of primary commodity price fundamentals," MPRA Paper 31461, University Library of Munich, Germany.
  3. Muhammad Shahbaz & Miroslav Mateev & Salah Abosedra & Muhammad Ali Nasir & Zhilun Jiao, 2021. "Determinants of FDI in France: Role of transport infrastructure, education, financial development and energy consumption," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 26(1), pages 1351-1374, January.
  4. Belloni, Alexandre & Chernozhukov, Victor & Chetverikov, Denis & Kato, Kengo, 2015. "Some new asymptotic theory for least squares series: Pointwise and uniform results," Journal of Econometrics, Elsevier, vol. 186(2), pages 345-366.
  5. Hardle, Wolfgang & Linton, Oliver, 1986. "Applied nonparametric methods," Handbook of Econometrics, in: R. F. Engle & D. McFadden (ed.), Handbook of Econometrics, edition 1, volume 4, chapter 38, pages 2295-2339, Elsevier.
  6. Knobel, Alexander (Кнобель, Александр) & Chentsov, Alexander (Ченцов, Александр), 2018. "The Impact of Exchange Rates and Their Volatility on Russia's Foreign Trade, Taking into Account its Membership in EAEU [Влияние Обменных Курсов И Их Волатильности На Внешнюю Торговлю России С Учет," Working Papers 061824, Russian Presidential Academy of National Economy and Public Administration.
  7. Chen, Xiaohong & Liao, Zhipeng, 2014. "Sieve M inference on irregular parameters," Journal of Econometrics, Elsevier, vol. 182(1), pages 70-86.
  8. Byunghoon Kang, 2017. "Inference in Nonparametric Series Estimation with Data-Dependent Undersmoothing," Working Papers 170712442, Lancaster University Management School, Economics Department.
  9. Ghysels, Eric & Hill, Jonathan B. & Motegi, Kaiji, 2020. "Testing a large set of zero restrictions in regression models, with an application to mixed frequency Granger causality," Journal of Econometrics, Elsevier, vol. 218(2), pages 633-654.
  10. Imtiaz, Amir & Javid, Snober, 2023. "Resource curse or blessings hypothesis in Pakistan: The role of financial development and oil prices in era of globalization," Resources Policy, Elsevier, vol. 86(PA).
  11. Zhenkai Yang & Mei-Chih Wang & Tsangyao Chang & Wing-Keung Wong & Fangjhy Li, 2022. "Which Factors Determine CO 2 Emissions in China? Trade Openness, Financial Development, Coal Consumption, Economic Growth or Urbanization: Quantile Granger Causality Test," Energies, MDPI, vol. 15(7), pages 1-18, March.
  12. Guo, Ranran & Ye, Wuyi, 2021. "A model of dynamic tail dependence between crude oil prices and exchange rates," The North American Journal of Economics and Finance, Elsevier, vol. 58(C).
  13. Teterin, Pavel & Brooks, Robert & Enders, Walter, 2016. "Smooth volatility shifts and spillovers in U.S. crude oil and corn futures markets," Journal of Empirical Finance, Elsevier, vol. 38(PA), pages 22-36.
  14. Shahbaz, Muhammad & Siddiqui, Aaliyah & Ahmad, Shabbir & Jiao, Zhilun, 2023. "Financial development as a new determinant of energy diversification: The role of natural capital and structural changes in Australia," Energy Economics, Elsevier, vol. 126(C).
  15. Tsong, Ching-Chuan & Wu, Chien-Wei & Chiu, Hsien-Hung & Lee, Cheng-Feng, 2013. "Covariate unit root tests under structural change and asymmetric STAR dynamics," Economic Modelling, Elsevier, vol. 33(C), pages 101-112.
  16. Atanu Ghoshray & Yurena Mendoza & Mercedes Monfort & Javier Ordoñez, 2018. "Re-assessing causality between energy consumption and economic growth," PLOS ONE, Public Library of Science, vol. 13(11), pages 1-15, November.
  17. Mark Jensen, 1997. "Revisiting the flexibility and regularity properties of the asymptotically ideal production model," Econometric Reviews, Taylor & Francis Journals, vol. 16(2), pages 179-203.
  18. Shahbaz, Muhammad & Nasir, Muhammad Ali & Roubaud, David, 2018. "Environmental degradation in France: The effects of FDI, financial development, and energy innovations," Energy Economics, Elsevier, vol. 74(C), pages 843-857.
  19. Li, Jia & Liao, Zhipeng, 2020. "Uniform nonparametric inference for time series," Journal of Econometrics, Elsevier, vol. 219(1), pages 38-51.
  20. Pierre Perron & Mototsugu Shintani & Tomoyoshi Yabu, 2017. "Testing for Flexible Nonlinear Trends with an Integrated or Stationary Noise Component," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 79(5), pages 822-850, October.
  21. Luis A. Gil-Alana & OlaOluwa S. Yaya, 2021. "Testing fractional unit roots with non-linear smooth break approximations using Fourier functions," Journal of Applied Statistics, Taylor & Francis Journals, vol. 48(13-15), pages 2542-2559, November.
  22. Poirier, Alexandre, 2017. "Efficient estimation in models with independence restrictions," Journal of Econometrics, Elsevier, vol. 196(1), pages 1-22.
  23. Yingzhuo Yu & Cesar Escalante & Xiaohui Deng & Jack Houston & Lewell Gunter, 2011. "Analysing scale and scope specialization efficiencies of US agricultural and nonagricultural banks using the Fourier flexible functional form," Applied Financial Economics, Taylor & Francis Journals, vol. 21(15), pages 1103-1116.
  24. Shabir Mohsin Hashmi & Xuyou Yu & Qasim Raza Syed & Li Rong, 2024. "Testing the environmental Kuznets curve (EKC) hypothesis amidst climate policy uncertainty: sectoral analysis using the novel Fourier ARDL approach," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 26(7), pages 16503-16522, July.
  25. Lewbel, Arthur, 1995. "Consistent nonparametric hypothesis tests with an application to Slutsky symmetry," Journal of Econometrics, Elsevier, vol. 67(2), pages 379-401, June.
  26. Furkan Emirmahmutoglu & Tolga Omay & Syed Jawad Hussain Shahzad & Safwan Mohd Nor, 2021. "Smooth Break Detection and De-Trending in Unit Root Testing," Mathematics, MDPI, vol. 9(4), pages 1-25, February.
  27. Andersen, Torben G. & Lund, Jesper, 1997. "Estimating continuous-time stochastic volatility models of the short-term interest rate," Journal of Econometrics, Elsevier, vol. 77(2), pages 343-377, April.
  28. Atanu Ghoshray & Madhavi Pundit, 2021. "Economic growth in China and its impact on international commodity prices," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 26(2), pages 2776-2789, April.
  29. Altunbas, Y. & Gardener, E. P. M. & Molyneux, P. & Moore, B., 2001. "Efficiency in European banking," European Economic Review, Elsevier, vol. 45(10), pages 1931-1955, December.
  30. Qianqian, Ding & Bashir, Uzma & Chunqiao, Tan, 2024. "The criticality of natural resources in financial development: Does geopolitical risk make any difference?," Resources Policy, Elsevier, vol. 89(C).
  31. White, Halbert & Hong, Yongmiao, 1999. "M-Testing Using Finite and Infinite Dimensional Parameter Estimators," University of California at San Diego, Economics Working Paper Series qt9qz123ng, Department of Economics, UC San Diego.
  32. Nawaz, Kishwar & Lahiani, Amine & Roubaud, David, 2019. "Natural resources as blessings and finance-growth nexus: A bootstrap ARDL approach in an emerging economy," Resources Policy, Elsevier, vol. 60(C), pages 277-287.
  33. Ralf Becker & Walter Enders & A. Stan Hurn, 2001. "Testing for Time Dependence in Parameters," Research Paper Series 58, Quantitative Finance Research Centre, University of Technology, Sydney.
  34. Chen, Xiaohong, 2007. "Large Sample Sieve Estimation of Semi-Nonparametric Models," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 6, chapter 76, Elsevier.
  35. Gao, Jiti & Anh, Vo, 2000. "A central limit theorem for a random quadratic form of strictly stationary processes," Statistics & Probability Letters, Elsevier, vol. 49(1), pages 69-79, August.
  36. Tristan D. Skolrud, 2017. "Reducing Approximation Error in the Fourier Flexible Functional Form," Econometrics, MDPI, vol. 5(4), pages 1-16, December.
  37. Banerjee, Piyali & Arčabić, Vladimir & Lee, Hyejin, 2017. "Fourier ADL cointegration test to approximate smooth breaks with new evidence from Crude Oil Market," Economic Modelling, Elsevier, vol. 67(C), pages 114-124.
  38. S. Carbo & E. P. M. Gardener & J. Williams, 2003. "A note on technical change in banking: the case of European savings banks," Applied Economics, Taylor & Francis Journals, vol. 35(6), pages 705-719.
  39. Coppejans, Mark & Gallant, A. Ronald, 2002. "Cross-validated SNP density estimates," Journal of Econometrics, Elsevier, vol. 110(1), pages 27-65, September.
  40. Zhou, Bingjun & Huang, Yan & Gao, Ke & Luo, Chunyang, 2024. "How geopolitical risk and economic policy uncertainty impact coal, natural gas, and oil rent? Evidence from China," Resources Policy, Elsevier, vol. 88(C).
  41. Fangjhy Li & Yang-Che Wu & Mei-Chih Wang & Wing-Keung Wong & Zhijie Xing, 2021. "Empirical Study on CO 2 Emissions, Financial Development and Economic Growth of the BRICS Countries," Energies, MDPI, vol. 14(21), pages 1-33, November.
  42. Sun, Yizhong & Jin, Keyan & Wang, Deyong & Wu, Qingyang & Li, Zhezhou, 2023. "Revisiting the natural resources-financial development nexus in China: The importance of economic policy uncertainty," Resources Policy, Elsevier, vol. 86(PB).
  43. Fenton, Victor M. & Gallant, A. Ronald, 1996. "Qualitative and asymptotic performance of SNP density estimators," Journal of Econometrics, Elsevier, vol. 74(1), pages 77-118, September.
  44. Feng-Li Lin, 2021. "R&D Investment, Financial and Environmental Performance Nexuses via Bootstrap Fourier Quantiles Granger Causality Test," Economies, MDPI, vol. 9(2), pages 1-11, May.
  45. Kazuhiko Shinoda & Takahiro Hoshino, 2022. "Orthogonal Series Estimation for the Ratio of Conditional Expectation Functions," Papers 2212.13145, arXiv.org.
  46. Kai Cheng & Hsin-Pei Hsueh & Omid Ranjbar & Mei-Chih Wang & Tsangyao Chang, 2021. "Urbanization, coal consumption and CO2 emissions nexus in China using bootstrap Fourier Granger causality test in quantiles," Letters in Spatial and Resource Sciences, Springer, vol. 14(1), pages 31-49, April.
  47. Donald, Stephen G. & Imbens, Guido W. & Newey, Whitney K., 2003. "Empirical likelihood estimation and consistent tests with conditional moment restrictions," Journal of Econometrics, Elsevier, vol. 117(1), pages 55-93, November.
  48. Enders, Walter & Li, Jing, 2015. "Trend-cycle decomposition allowing for multiple smooth structural changes in the trend of US real GDP," Journal of Macroeconomics, Elsevier, vol. 44(C), pages 71-81.
  49. Syed, Qasim Raza & Apergis, Nicholas & Goh, Soo Khoon, 2023. "The dynamic relationship between climate policy uncertainty and renewable energy in the US: Applying the novel Fourier augmented autoregressive distributed lags approach," Energy, Elsevier, vol. 275(C).
  50. Ye, Maoran & Tang, Ling & Huang, Lin & Li, Mei, 2023. "On conflict of natural resources-carbon emissions nexus in China: The role of economic policy uncertainty," Resources Policy, Elsevier, vol. 86(PB).
  51. Gao, Jiti, 2007. "Nonlinear time series: semiparametric and nonparametric methods," MPRA Paper 39563, University Library of Munich, Germany, revised 01 Sep 2007.
  52. Akbas, Yusuf Ekrem & Sancar, Canan, 2021. "The impact of export dynamics on trade balance in emerging and developed countries: An evaluation with middle income trap perspective," International Review of Economics & Finance, Elsevier, vol. 76(C), pages 357-375.
  53. Ching-Chuan Tsong & Cheng-Feng Lee & Li-Ju Tsai & Te-Chung Hu, 2016. "The Fourier approximation and testing for the null of cointegration," Empirical Economics, Springer, vol. 51(3), pages 1085-1113, November.
  54. Macchiarelli, Corrado, 2013. "Similar GDP-inflation cycles. An application to CEE countries and the euro area," Research in International Business and Finance, Elsevier, vol. 27(1), pages 124-144.
  55. Souza, João Carlos F. & Souza, Geraldo S., 1995. "A Monte Carlo Study on the Fit of a Cost Function by a Fourier Flexible Functional Form," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 15(2), November.
  56. Khyati Kathuria & Nand Kumar, 2022. "Are exports and imports of India’s trading partners cointegrated? Evidence from Fourier bootstrap ARDL procedure," Empirical Economics, Springer, vol. 62(3), pages 1177-1191, March.
  57. Shahbaz, Muhammad & Raghutla, Chandrashekar & Song, Malin & Zameer, Hashim & Jiao, Zhilun, 2020. "Public-private partnerships investment in energy as new determinant of CO2 emissions: The role of technological innovations in China," Energy Economics, Elsevier, vol. 86(C).
  58. Gallant, A Ronald & Rossi, Peter E & Tauchen, George, 1993. "Nonlinear Dynamic Structures," Econometrica, Econometric Society, vol. 61(4), pages 871-907, July.
  59. Melike Bildirici & Irmak Türkkahraman & Özgür Ömer Ersin, 2024. "Unraveling the Environmental Impacts of the Fashion Industry: A Fourier-Based Analysis of Pollution Dynamics and Causality Across Five Countries," Sustainability, MDPI, vol. 17(1), pages 1-22, December.
  60. Shahbaz, Muhammad & Abbas Rizvi, Syed Kumail & Dong, Kangyin & Vo, Xuan Vinh, 2022. "Fiscal decentralization as new determinant of renewable energy demand in China: The role of income inequality and urbanization," Renewable Energy, Elsevier, vol. 187(C), pages 68-80.
  61. Bansal, Ravi & Gallant, A. Ronald & Hussey, Robert & Tauchen, George, 1995. "Nonparametric estimation of structural models for high-frequency currency market data," Journal of Econometrics, Elsevier, vol. 66(1-2), pages 251-287.
  62. Hasanov, Fakhri J. & Aliyev, Ruslan & Taskin, Dilvin & Suleymanov, Elchin, 2023. "Oil rents and non-oil economic growth in CIS oil exporters. The role of financial development," Resources Policy, Elsevier, vol. 82(C).
  63. Tai‐Hsin Huang & Mei‐Hui Wang, 2003. "Estimation of Technical and Allocative Inefficiency Using Fourier Flexible Cost Frontiers for Taiwan's Banking Industry," Manchester School, University of Manchester, vol. 71(3), pages 341-362, June.
  64. Haag, Berthold R. & Hoderlein, Stefan & Pendakur, Krishna, 2009. "Testing and imposing Slutsky symmetry in nonparametric demand systems," Journal of Econometrics, Elsevier, vol. 153(1), pages 33-50, November.
  65. Kyoo il Kim, 2006. "Uniform Convergence Rate of the SNP Density Estimator and Testing for Similarity of Two Unknown Densities," Working Papers 20-2006, Singapore Management University, School of Economics.
  66. Newey, Whitney K., 1997. "Convergence rates and asymptotic normality for series estimators," Journal of Econometrics, Elsevier, vol. 79(1), pages 147-168, July.
  67. Veli Yılancı & Emel İslamoğlu & Sinem Yıldırımalp & Gökçe Candan, 2020. "The Relationship between Unemployment Rates and Renewable Energy Consumption: Evidence from Fourier ADL Cointegration Test," Alphanumeric Journal, Bahadir Fatih Yildirim, vol. 8(1), pages 17-28, June.
  68. He, Qiao & Xie, Henglang & Zhu, Yichang & Huang, Lingyu, 2024. "The impact of natural resource, information and communication technology adoption, and economic expansion on financial development in post COVID era," Resources Policy, Elsevier, vol. 89(C).
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