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Resampling methods for nonstationary stochastic processes

Total Cost €


EC-Contrib. €






Project "ResMet" data sheet

The following table provides information about the project.


Organization address
postcode: 35043

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country France [FR]
 Project website
 Total cost 173˙076 €
 EC max contribution 173˙076 € (100%)
 Programme 1. H2020-EU.1.3.2. (Nurturing excellence by means of cross-border and cross-sector mobility)
 Code Call H2020-MSCA-IF-2014
 Funding Scheme MSCA-IF-EF-ST
 Starting year 2015
 Duration (year-month-day) from 2015-10-01   to  2017-09-30


Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    UNIVERSITE RENNES II FR (RENNES CEDEX) coordinator 173˙076.00


 Project objective

ResMet is dedicated to applications of resampling methods in statistical inference for the processes with periodic and almost periodic structures. The mentioned processes in the literature are called cyclostationary (CS) and almost cyclostationary (ACS). Studies of CS/ACS processes started by Gladyshev in 1961. Since then the subject has developed fast and found applications in many branches of vibroacoustics, mechanics, signal analysis and climatology. The wide range of possible applications resulted in the thousands of papers that were published through the last 60 years. Unfortunately, the analysis of CS/ACS processes is very difficult. The most difficult is the estimation of the asymptotic covariance matrix for parameters of interest. In practice it is almost impossible and to construct confidence intervals resampling methods need to be used. The Experienced Researcher (ER) will show their consistency for different parameters of CS/ACS processes. Additionally, she will consider jitter effect and develop testing tools to detect the significant frequencies and to check if the considered data are zero-mean. These results will allow e.g. for construction of the new tools for machine faults detection. Moreover, new research topics will appear like choosing the optimal block length for each application. During the fellowship the ER will be able to work with the experts (her supervisor Prof. Dehay included) in the analysis of AC/ACS processes and in testing. The ER will join the seminars organized by them and will exchange the knowledge on the daily basis with other statisticians. Finally, she will present results of her work on the seminars, workshops and conferences. This process will allow her to finish her habilitation and apply for the permanent professor position in Europe. Moreover, during her secondment at Laser Analytica she will get statistical consulting experience, which in future will allow her for collaboration with pharmaceutical companies in Europe.


year authors and title journal last update
List of publications.
2016 Anna E. Dudek, Harry Hurd, Wioletta Wójtowicz
Periodic autoregressive moving average methods based on Fourier representation of periodic coefficients
published pages: 130-149, ISSN: 1939-5108, DOI: 10.1002/wics.1380
Wiley Interdisciplinary Reviews: Computational Statistics 8/3 2019-06-17
2018 A.E. Dudek. and P. Potorski
Simulation study of bootstrap confidence intervals for the coefficientsof the autocovariance function of PC time series
published pages: , ISSN: , DOI:
2018 D. Dehay, A.E. Dudek and M. Elbadaoui
Bootstrap for almost cyclostationary processes with jitter effect
published pages: , ISSN: 1051-2004, DOI:
Digital Signal Processing 2019-06-17
2017 Dominique Dehay, Anna E. Dudek
Bootstrap for the second-order analysis of Poisson-sampled almost periodic processes
published pages: 99-147, ISSN: 1935-7524, DOI: 10.1214/17-EJS1225
Electronic Journal of Statistics 11/1 2019-06-17
2017 Anna E. Dudek, Łukasz Lenart
Subsampling for nonstationary time series with non-zero mean function
published pages: 252-259, ISSN: 0167-7152, DOI: 10.1016/j.spl.2017.06.002
Statistics & Probability Letters 129 2019-06-17
2018 Anna E. Dudek
Block bootstrap for periodic characteristics of periodically correlated time series
published pages: , ISSN: 1048-5252, DOI:
Journal of Nonparametric Statistics 2019-06-17
2016 Anna E. Dudek
First and second order analysis for periodic random arrays using block bootstrap methods
published pages: 2561-2583, ISSN: 1935-7524, DOI: 10.1214/16-EJS1182
Electronic Journal of Statistics 10/2 2019-06-17
2016 Anna E. Dudek, Efstathios Paparoditis, Dimitris N. Politis
Generalized seasonal tapered block bootstrap
published pages: 27-35, ISSN: 0167-7152, DOI: 10.1016/j.spl.2016.03.022
Statistics & Probability Letters 115 2019-06-17

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