van Delft, Anne A note on quadratic forms of stationary functional time series under mild conditions. (English) Zbl 1461.62242 Stochastic Processes Appl. 130, No. 7, 4206-4251 (2020). MSC: 62R10 62M10 62M15 60G10 60G44 PDFBibTeX XMLCite \textit{A. van Delft}, Stochastic Processes Appl. 130, No. 7, 4206--4251 (2020; Zbl 1461.62242) Full Text: DOI arXiv
Cerovecki, Clément; Hörmann, Siegfried On the CLT for discrete Fourier transforms of functional time series. (English) Zbl 1397.62298 J. Multivariate Anal. 154, 282-295 (2017). MSC: 62M10 60F17 62M20 PDFBibTeX XMLCite \textit{C. Cerovecki} and \textit{S. Hörmann}, J. Multivariate Anal. 154, 282--295 (2017; Zbl 1397.62298) Full Text: DOI arXiv
Barrera, David; Peligrad, Magda Quenched limit theorems for Fourier transforms and periodogram. (English) Zbl 1336.60038 Bernoulli 22, No. 1, 275-301 (2016). MSC: 60F05 60J05 60G10 60G42 42A38 PDFBibTeX XMLCite \textit{D. Barrera} and \textit{M. Peligrad}, Bernoulli 22, No. 1, 275--301 (2016; Zbl 1336.60038) Full Text: DOI arXiv Euclid
Fasen, V. Statistical inference of spectral estimation for continuous-time MA processes with finite second moments. (English) Zbl 1283.62191 Math. Methods Stat. 22, No. 4, 283-309 (2013). MSC: 62M15 62F12 62G07 62G20 PDFBibTeX XMLCite \textit{V. Fasen}, Math. Methods Stat. 22, No. 4, 283--309 (2013; Zbl 1283.62191) Full Text: DOI
Peligrad, Magda; Wu, Wei Biao Central limit theorem for Fourier transforms of stationary processes. (English) Zbl 1206.60026 Ann. Probab. 38, No. 5, 2009-2022 (2010). Reviewer: Ferenc Móricz (Szeged) MSC: 60F05 60F17 PDFBibTeX XMLCite \textit{M. Peligrad} and \textit{W. B. Wu}, Ann. Probab. 38, No. 5, 2009--2022 (2010; Zbl 1206.60026) Full Text: DOI arXiv
Marinucci, Domenico; Peccati, Giovanni High-frequency asymptotics for subordinated stationary fields on an abelian compact group. (English) Zbl 1143.60007 Stochastic Processes Appl. 118, No. 4, 585-613 (2008). Reviewer: Gennadiy M. Fel’dman (Khar’kov) MSC: 60B15 60F05 60G60 PDFBibTeX XMLCite \textit{D. Marinucci} and \textit{G. Peccati}, Stochastic Processes Appl. 118, No. 4, 585--613 (2008; Zbl 1143.60007) Full Text: DOI arXiv
Wu, Wei Biao; Shao, Xiaofeng A limit theorem for quadratic forms and its applications. (English) Zbl 1237.60020 Econom. Theory 23, No. 5, 930-951 (2007). MSC: 60F05 60G10 62M10 PDFBibTeX XMLCite \textit{W. B. Wu} and \textit{X. Shao}, Econom. Theory 23, No. 5, 930--951 (2007; Zbl 1237.60020) Full Text: DOI
Shao, Xiaofeng; Wu, Wei Biao Asymptotic spectral theory for nonlinear time series. (English) Zbl 1147.62076 Ann. Stat. 35, No. 4, 1773-1801 (2007); correction ibid. 50, No. 5, 3088-3089 (2022). MSC: 62M15 62E20 62M10 PDFBibTeX XMLCite \textit{X. Shao} and \textit{W. B. Wu}, Ann. Stat. 35, No. 4, 1773--1801 (2007; Zbl 1147.62076) Full Text: DOI arXiv
Bercu, Bernard; Prieur, Clémentine Spectral properties of chaotic processes. (English) Zbl 1106.37004 Stoch. Dyn. 6, No. 3, 355-371 (2006). MSC: 37A50 60F05 60F15 37E05 PDFBibTeX XMLCite \textit{B. Bercu} and \textit{C. Prieur}, Stoch. Dyn. 6, No. 3, 355--371 (2006; Zbl 1106.37004) Full Text: DOI