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Multi-event detection and recognition in real time is of challenge for a modern grid as its feature is usually non-identifiable. Based on factor model, this paper porposes a data-driven method as an alternative solution under the framework…

Applications · Statistics 2017-12-27 Fan Yang , Xing He , Robert Caiming Qiu , Zenan Ling

This paper studies non-separable models with a continuous treatment when the dimension of the control variables is high and potentially larger than the effective sample size. We propose a three-step estimation procedure to estimate the…

Methodology · Statistics 2019-03-07 Liangjun Su , Takuya Ura , Yichong Zhang

Many real-world systems modeled using partial differential equations (PDEs) involve unknown parameters that must be estimated from limited, noisy system observations. While typically assumed to be constants, some of these unobserved…

Methodology · Statistics 2025-08-19 Andrea Arnold

We study the problem of modelling high-dimensional, heavy-tailed time series data via a factor-adjusted vector autoregressive (VAR) model, which simultaneously accounts for pervasive co-movements of the variables by a handful of factors, as…

Methodology · Statistics 2026-04-27 Dylan Dijk , Haeran Cho

This paper makes a selective survey on the recent development of the factor model and its application on statistical learnings. We focus on the perspective of the low-rank structure of factor models, and particularly draws attentions to…

Econometrics · Economics 2020-09-23 Jianqing Fan , Kunpeng Li , Yuan Liao

We consider the problem of sparse estimation in a factor analysis model. A traditional estimation procedure in use is the following two-step approach: the model is estimated by maximum likelihood method and then a rotation technique is…

Methodology · Statistics 2013-03-18 Kei Hirose , Michio Yamamoto

We study semiparametric factor models in high-dimensional panels where the factor loadings consist of a nonparametric component explained by observed covariates and an idiosyncratic component capturing unobserved heterogeneity. A key…

Methodology · Statistics 2025-12-09 Sijie Zheng

This paper develops a dynamic factor model in which common level and volatility factors evolve jointly, allowing conditional means and variances to interact endogenously within a large-information setting. The joint evolution of these…

Econometrics · Economics 2026-04-07 Haroon Mumtaz , Sofia Velasco

We consider the problem of estimating the common time of a change in the mean parameters of panel data when dependence is allowed between the panels in the form of a common factor. A CUSUM type estimator is proposed, and we establish first…

Statistics Theory · Mathematics 2015-03-17 Lajos Horváth , Marie Hušková , Gregory Rice , Jia Wang

We introduce wavelet-based methodology for estimation of realized variance allowing its measurement in the time-frequency domain. Using smooth wavelets and Maximum Overlap Discrete Wavelet Transform, we allow for the decomposition of the…

Statistical Finance · Quantitative Finance 2015-03-20 Jozef Barunik , Lukas Vacha

Latent or unobserved phenomena pose a significant difficulty in data analysis as they induce complicated and confounding dependencies among a collection of observed variables. Factor analysis is a prominent multivariate statistical modeling…

Methodology · Statistics 2020-06-22 Armeen Taeb , Venkat Chandrasekaran

Quantile is an important measure in finance and quality assessment in service industry. In this paper, we model the temporal and cross-sectional interactive effect of the quantiles of large-dimensional time series by a latent quantile…

Methodology · Statistics 2023-03-07 He Yong , Kong Xin-Bing , Yu Long , Zhao Peng

We study consumer demand in large-scale retail settings with many products, multiple categories and repeated purchase behavior. While inertia and brand loyalty are well documented, existing discrete choice models typically focus on single…

Econometrics · Economics 2026-05-25 Daniel Brunner , Florian Heiss , Anna B. Schmidt

A multivariate quantile regression model with a factor structure is proposed to study data with many responses of interest. The factor structure is allowed to vary with the quantile levels, which makes our framework more flexible than the…

Methodology · Statistics 2020-01-22 Shih-Kang Chao , Wolfgang Karl Härdle , Ming Yuan

Estimation of high-dimensional covariance matrices in latent factor models is an important topic in many fields and especially in finance. Since the number of financial assets grows while the estimation window length remains of limited…

Statistical Finance · Quantitative Finance 2024-07-08 Lucija Žignić , Stjepan Begušić , Zvonko Kostanjčar

We develop a new statistical model to analyse time-varying ranking data. The model can be used with a large number of ranked items, accommodates exogenous time-varying covariates and partial rankings, and is estimated via the maximum…

Methodology · Statistics 2022-11-23 Vladimír Holý , Jan Zouhar

We propose a dynamic multiplicative factor model for process data, which arise from complex problem-solving items, an emerging testing mode in large-scale educational assessment. The proposed model can be viewed as an extension of the…

Methodology · Statistics 2026-02-26 Fangyi Chen , Hok Kan Ling , Zhiliang Ying

This paper provides a comprehensive estimation framework via nuclear norm plus $l_1$ norm penalization for high-dimensional approximate factor models with a sparse residual covariance. The underlying assumptions allow for non-pervasive…

Statistics Theory · Mathematics 2021-04-07 Matteo Farnè , Angela Montanari

It is shown, with two sets of indicators that separately load on two distinct factors, independent of one another conditional on the past, that if it is the case that at least one of the factors causally affects the other, then, in many…

Methodology · Statistics 2022-04-18 Tyler J. VanderWeele , Charles J. K. Batty

This paper studies the covariance matrix estimation for high-dimensional time series within a new framework that combines low-rank factor and latent variable-specific cluster structures. The popular methods based on assuming the sparse…

Methodology · Statistics 2025-02-25 Dong Li , Xinghao Qiao , Cheng Yu