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We study the problem of detecting a common change point in large panel data based on a mean shift model, wherein the errors exhibit both temporal and cross-sectional dependence. A least squares based procedure is used to estimate the…

Statistics Theory · Mathematics 2019-04-26 Monika Bhattacharjee , Moulinath Banerjee , George Michailidis

Hierarchical panel data models have recently garnered significant attention. This study contributes to the relevant literature by introducing a novel three-dimensional (3D) hierarchical panel data model, which integrates panel regression…

Econometrics · Economics 2024-09-13 Guohua Feng , Jiti Gao , Fei Liu , Bin Peng

This paper considers a model with general regressors and unobservable factors. An estimator based on iterated principal components is proposed, which is shown to be not only asymptotically normal and oracle efficient, but under certain…

Econometrics · Economics 2025-04-23 Bin Peng , Liangjun Su , Joakim Westerlund , Yanrong Yang

We study the existence, strong consistency and asymptotic normality of estimators obtained from estimating functions, that are p-dimensional martingale transforms. The problem is motivated by the analysis of evolutionary clustered data,…

Statistics Theory · Mathematics 2020-12-01 Laura Dumitrescu , Ioana Schiopu-Kratina

Empirical economists are often deterred from the application of fixed effects binary choice models mainly for two reasons: the incidental parameter problem and the computational challenge even in moderately large panels. Using the example…

Econometrics · Economics 2020-10-27 Daniel Czarnowske , Amrei Stammann

This paper develops a novel two-step estimating procedure for heavy-tailed AR models with non-zero median GARCH-type noises, allowing for time-varying volatility. We first establish the self-weighted quantile regression estimator (SQE)…

Methodology · Statistics 2025-11-19 Rui She , Linlin Dai , Shiqing Ling

Bias correction can often improve the finite sample performance of estimators. We show that the choice of bias correction method has no effect on the higher-order variance of semiparametrically efficient parametric estimators, so long as…

Econometrics · Economics 2024-01-29 Jinyong Hahn , David W. Hughes , Guido Kuersteiner , Whitney K. Newey

This paper develops a consistent series-based specification test for semiparametric panel data models with fixed effects. The test statistic resembles the Lagrange Multiplier (LM) test statistic in parametric models and is based on a…

Econometrics · Economics 2019-09-13 Ivan Korolev

It is common for long financial time series to exhibit gradual change in the unconditional volatility. We propose a new model that captures this type of nonstationarity in a parsimonious way. The model augments the volatility equation of a…

Econometrics · Economics 2024-10-15 Niklas Ahlgren , Alexander Back , Timo Teräsvirta

We introduce the ARMA (autoregressive-moving-average) point process, which is a Hawkes process driven by a Neyman-Scott process with Poisson immigration. It contains both the Hawkes and Neyman-Scott process as special cases and naturally…

Statistics Theory · Mathematics 2018-06-27 Spencer Wheatley , Michael Schatz , Didier Sornette

This paper considers a distributed detection setup where agents in a network want to detect a time-varying signal embedded in temporally correlated noise. The signal of interest is the impulse response of an ARMA (auto-regressive moving…

Signal Processing · Electrical Eng. & Systems 2023-04-17 João Domingos , João Xavier

We use tools from geometric statistics to analyze the usual estimation procedure of a template shape. This applies to shapes from landmarks, curves, surfaces, images etc. We demonstrate the asymptotic bias of the template shape estimation…

Computer Vision and Pattern Recognition · Computer Science 2017-02-03 Nina Miolane , Susan Holmes , Xavier Pennec

Stationary processes have been extensively studied in the literature. Their applications include modeling and forecasting numerous real life phenomena such as natural disasters, sales and market movements. When stationary processes are…

Statistics Theory · Mathematics 2018-01-10 Marko Voutilainen , Lauri Viitasaari , Pauliina Ilmonen

We propose an iterative estimating equations procedure for analysis of longitudinal data. We show that, under very mild conditions, the probability that the procedure converges at an exponential rate tends to one as the sample size…

Statistics Theory · Mathematics 2007-12-18 Jiming Jiang , Yihui Luan , You-Gan Wang

We develop an anomaly-detection method when systematic anomalies, possibly statistically very similar to genuine inputs, are affecting control systems at the input and/or output stages. The method allows anomaly-free inputs (i.e., those…

Methodology · Statistics 2022-02-01 Ning Sun , Chen Yang , Ričardas Zitikis

This paper studies the model selection problem in a large class of causal time series models, which includes both the ARMA or AR($\infty$) processes, as well as the GARCH or ARCH($\infty$), APARCH, ARMA-GARCH and many others processes. We…

Statistics Theory · Mathematics 2021-10-20 Jean-Marc Bardet , Kamila Kare , William Kengne

This paper proposes a model-free approach to analyze panel data with heterogeneous dynamic structures across observational units. We first compute the sample mean, autocovariances, and autocorrelations for each unit, and then estimate the…

Econometrics · Economics 2019-01-16 Ryo Okui , Takahide Yanagi

We present $\Gamma$-nets, a method for generalizing value function estimation over timescale. By using the timescale as one of the estimator's inputs we can estimate value for arbitrary timescales. As a result, the prediction target for any…

Machine Learning · Computer Science 2020-10-20 Craig Sherstan , Shibhansh Dohare , James MacGlashan , Johannes Günther , Patrick M. Pilarski

We develop an asymptotic theory of adversarial estimators ('A-estimators'). They generalize maximum-likelihood-type estimators ('M-estimators') as their average objective is maximized by some parameters and minimized by others. This class…

Econometrics · Economics 2022-06-20 Jonas Metzger

A wide range of approaches for batch processes monitoring can be found in the literature. This kind of process generates a very peculiar data structure, in which successive measurements of many process variables in each batch run are…

Methodology · Statistics 2021-09-03 Batista Nunes de Oliveira , Marcio Valk , Danilo Marcondes Filho
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