{"title":"Factor models and high-dimensional time series A tribute to Marco Lippi on the occasion of his 80th birthday","authors":"Matteo Barigozzi, Manfred Deistler, Marc Hallin","doi":"10.1016/j.ecosta.2024.04.005","DOIUrl":"10.1016/j.ecosta.2024.04.005","url":null,"abstract":"","PeriodicalId":54125,"journal":{"name":"Econometrics and Statistics","volume":"39 ","pages":"Pages 1-3"},"PeriodicalIF":3.0,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140885090","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Estimating the Output Gap with High‐Dimensional Time Series","authors":"A. Giovannelli , T. Proietti","doi":"10.1016/j.ecosta.2024.06.004","DOIUrl":"10.1016/j.ecosta.2024.06.004","url":null,"abstract":"<div><div>The output gap measures the deviation of observed output from its potential, thereby defining imbalances in the real economy that affect utilization of resources and price inflation<span><span>. A novel estimator of the output gap is proposed. It is based on a dynamic factor model that extracts from a high-dimensional set of time series the common component of a stationary transformation of the individual series. The latter results from the application of a nonlinear gap filter, such that for each of the individual time series the gap filter removes from the current value the historical local maximum, which in turn defines the potential. The smooth generalized </span>principal components<span> are extracted and the resulting common components are aggregated into a global output gap measure. An application is presented dealing with the U.S. industrial sector, where the proposed measure is constructed using the disaggregated market and industry groups time series. An evaluation of its external validity is conducted in comparison to alternative measures.</span></span></div></div>","PeriodicalId":54125,"journal":{"name":"Econometrics and Statistics","volume":"39 ","pages":"Pages 96-119"},"PeriodicalIF":3.0,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141552592","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Estimation of Extreme Risk Measures for Stochastic Volatility Models with Long Memory and Heavy Tails","authors":"Clémonell Bilayi-Biakana, Gail Ivanoff, Rafał Kulik","doi":"10.1016/j.ecosta.2023.07.004","DOIUrl":"10.1016/j.ecosta.2023.07.004","url":null,"abstract":"<div><div>Financial data, such as returns on investments<span>, typically exhibit some non-standard features: long memory or long range dependence (LRD) and heavy tails. Therefore, any mathematical model approximating the evolution of asset price should be able to generate these properties. This can be achieved through the use of a long memory stochastic volatility (LMSV) model. The focus is on estimation of Value-at-Risk (VaR) and Expected Shortfall (ES) for such models. While long memory has no effect on the Hill estimator of the tail index, in contrast it is shown that long memory affects the rates of convergence and asymptotic behaviour of the estimators of VaR and ES.</span></div></div>","PeriodicalId":54125,"journal":{"name":"Econometrics and Statistics","volume":"39 ","pages":"Pages 141-159"},"PeriodicalIF":3.0,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76829796","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Estimating the number of common trends in large T and N factor models via canonical correlations analysis","authors":"Massimo Franchi, Iliyan Georgiev, Paolo Paruolo","doi":"10.1016/j.ecosta.2023.10.001","DOIUrl":"10.1016/j.ecosta.2023.10.001","url":null,"abstract":"<div><div>Asymptotic results for canonical correlations are derived when the analysis is performed between levels and cumulated levels of <span><math><mi>N</mi></math></span> time series of length <span><math><mi>T</mi></math></span>, generated by a factor model with <span><math><mi>s</mi></math></span> common stochastic trends. For <span><math><mrow><mi>T</mi><mo>→</mo><mi>∞</mi></mrow></math></span> and fixed <span><math><mi>N</mi></math></span> and <span><math><mi>s</mi></math></span>, the largest <span><math><mi>s</mi></math></span> squared canonical correlations are shown to converge to a non-degenerate limit distribution while the remaining <span><math><mrow><mi>N</mi><mo>−</mo><mi>s</mi></mrow></math></span> converge in probability to 0. Furthermore, if <span><math><mi>s</mi></math></span> grows at most linearly in <span><math><mi>N</mi></math></span>, the largest <span><math><mi>s</mi></math></span> squared canonical correlations are shown to converge in probability to 1 as <span><math><mrow><msub><mrow><mo>(</mo><mi>T</mi><mo>,</mo><mi>N</mi><mo>)</mo></mrow><mrow><mi>s</mi><mi>e</mi><mi>q</mi></mrow></msub><mo>→</mo><mi>∞</mi></mrow></math></span>. This feature allows one to estimate the number of common trends as the integer with largest decrease in adjacent squared canonical correlations. The maximal gap equals 1 in the limit and this criterion is shown to be consistent. A Monte Carlo simulation study illustrates the findings.</div></div>","PeriodicalId":54125,"journal":{"name":"Econometrics and Statistics","volume":"39 ","pages":"Pages 81-95"},"PeriodicalIF":3.0,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135762528","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Valentin Todorov, Violetta Simonacci, Michele Gallo, Nikolay Trendafilov
{"title":"A novel estimation procedure for robust CANDECOMP/PARAFAC model fitting","authors":"Valentin Todorov, Violetta Simonacci, Michele Gallo, Nikolay Trendafilov","doi":"10.1016/j.ecosta.2023.07.001","DOIUrl":"10.1016/j.ecosta.2023.07.001","url":null,"abstract":"<div><div>The parameter estimation in CANDECOMP/PARAFAC (CP) is carried out by alternating least squares (ALS) that yields least-squares solutions and provides consistent outcomes. At the same time it has several drawbacks, like sensitivity to the presence of outliers in the data, issues with the computational efficiency in terms of processing time and memory requirements, as well as susceptibility to degeneracy conditions. These weaknesses have been addressed, but there is no outlier-robust procedure that at the same time is highly computationally efficient, especially for large data sets. A novel procedure based on an integrated estimation algorithm is proposed. This is an alternative to ALS, which guards against outliers and is computationally efficient at the same time. The performance of the new method is demonstrated on an extensive simulation study and an empirical example.</div></div>","PeriodicalId":54125,"journal":{"name":"Econometrics and Statistics","volume":"39 ","pages":"Pages 200-215"},"PeriodicalIF":3.0,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87478840","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Risk Assessment and Spurious Seasonality","authors":"Malte S. Kurz , Stefan Mittnik","doi":"10.1016/j.ecosta.2022.07.003","DOIUrl":"10.1016/j.ecosta.2022.07.003","url":null,"abstract":"<div><div>To determine the appropriate level of risk capital, financial institutions are required to empirically estimate and predict specific risk measures. Although regulation commonly prescribes the forecasting horizon and the frequency with which risk assessments have to be reported, the scheme with which the underlying data are sampled typically remains unspecified. It is shown that, given assessment frequency and forecasting horizon, the choice of the sampling scheme can greatly affect the outcome of risk assessment procedures. Specifically, sequences of variance estimates are prone to exhibit spurious seasonality when the assessment frequency is higher than the sampling frequency of non-overlapping asset return data. The autocorrelation function of such sequences is derived for a general class of weak white noise processes and for a general class of variance estimators. The problem of spurious seasonality can be overcome by using overlapping return data for estimation of risk measures.</div></div>","PeriodicalId":54125,"journal":{"name":"Econometrics and Statistics","volume":"39 ","pages":"Pages 122-140"},"PeriodicalIF":3.0,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148416784","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Vine Copula based Portfolio Level Conditional Risk Measure Forecasting","authors":"Emanuel Sommer , Karoline Bax , Claudia Czado","doi":"10.1016/j.ecosta.2023.08.002","DOIUrl":"10.1016/j.ecosta.2023.08.002","url":null,"abstract":"<div><div><span><span>Accurately estimating risk measures for financial portfolios and validating their robustness is critical for both financial institutions and regulators. However, many existing models operate at the aggregate portfolio level, hence they fail to capture the complex cross-dependencies between portfolio components and particularly provide no methodology to perform a sensitivity analysis on the estimates. To address both aspects, a new approach is presented that uses vine copulas in combination with univariate ARMA-GARCH models for marginal modelling to compute conditional portfolio-level risk measure estimates by simulating portfolio-level forecasts conditioned on a stress factor. A quantile-based approach is then presented to observe the behaviour of risk measures given a particular state of the conditioning asset(s). In an illustrative </span>case study of Spanish equities with different stress factors, the results show that the portfolio is quite robust to a sharp downturn in the American market. At the same time, there is no evidence of this behaviour with respect to the European market. The novel algorithms presented are ready for use through the R package </span><em>portvine</em>, which is publicly available on CRAN.</div></div>","PeriodicalId":54125,"journal":{"name":"Econometrics and Statistics","volume":"39 ","pages":"Pages 160-178"},"PeriodicalIF":3.0,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136221687","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Alessandra Amendola (Guest Editors) , Christian Francq , Marc Hallin , Zacharias Psaradakis
{"title":"Second Special Issue on time series econometrics","authors":"Alessandra Amendola (Guest Editors) , Christian Francq , Marc Hallin , Zacharias Psaradakis","doi":"10.1016/j.ecosta.2026.06.002","DOIUrl":"10.1016/j.ecosta.2026.06.002","url":null,"abstract":"","PeriodicalId":54125,"journal":{"name":"Econometrics and Statistics","volume":"39 ","pages":"Pages 120-121"},"PeriodicalIF":3.0,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148416785","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A spline-assisted semiparametric approach to nonparametric measurement error models","authors":"Fei Jiang, Yanyuan Ma, Raymond J. Carroll","doi":"10.1016/j.ecosta.2023.05.001","DOIUrl":"10.1016/j.ecosta.2023.05.001","url":null,"abstract":"<div><div>A spline-assisted approach is proposed to handle the measurement error problem in treating the pollution and asthma data. It is well known that the minimax rate of convergence in nonparametric regression function estimation of a random variable measured with error is much slower than the rate in the error free case. A different problem is considered. It is shown that if one is willing to impose a relatively mild assumption in requiring that the error-prone variable has a compact support, then standard nonparametric results are obtainable for measurement error models. New and constructive methods to take full advantage of the compact support assumption via spline-assisted semiparametric methods are proposed. It is proven that the new estimator achieves the usual nonparametric rate as if there were no measurement error. Furthermore it is shown that similar spline approach can be used to assess the probability density function on a compact set, using observations with error, and the resulting estimator differs from the true density function only by a constant scale. In addition, it retains the nonparametric density convergence properties of the error free case. The performance of the new methods is demonstrated through simulations and the methods are implemented to analyze the relation between asthma and pollution.</div></div>","PeriodicalId":54125,"journal":{"name":"Econometrics and Statistics","volume":"39 ","pages":"Pages 338-352"},"PeriodicalIF":3.0,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82388094","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Robust nonparametric multiple changepoint detection for multivariate variability","authors":"Kelly Ramsay, Shojaeddin Chenouri","doi":"10.1016/j.ecosta.2023.09.001","DOIUrl":"10.1016/j.ecosta.2023.09.001","url":null,"abstract":"<div><div><span>Two robust, nonparametric multiple changepoint detection algorithms are introduced: DWBS and MKWP. These algorithms can detect multiple changes in the variability of a sequence of independent multivariate observations, even when the number of changepoints is unknown. The algorithms DWBS and MKWP require minimal distributional assumptions and are robust to outlying observations and heavy tails. The DWBS algorithm uses a local search method based on depth-based ranks and wild binary segmentation. The MKWP algorithm estimates changepoints globally via maximizing a penalized version of the classical Kruskal–Wallis ANOVA test statistic. It is demonstrated that this objective function can be maximized via the well-known PELT algorithm. Under mild, nonparametric assumptions, both of these algorithms are shown to be consistent for the correct number of changepoints and the correct location(s) of the changepoint(s). A data driven thresholding method for multivariate data is introduced, based on the Schwartz information criteria. The robustness and accuracy of the new methods is demonstrated with a simulation study, where the algorithms are compared to several existing algorithms. These new methods can estimate the number of changepoints and their locations accurately when the data are heavy tailed or skewed and the </span>sample size is large. Lastly, the proposed algorithms are applied to a four-dimensional sequence of European daily stock returns.</div></div>","PeriodicalId":54125,"journal":{"name":"Econometrics and Statistics","volume":"39 ","pages":"Pages 310-337"},"PeriodicalIF":3.0,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134936298","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}