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This paper proposes a sequential test procedure for determining the number of regimes in nonlinear multivariate autoregressive models. The procedure relies on linearity and no additional nonlinearity tests for both multivariate smooth…

Econometrics · Economics 2024-06-05 Andrea Bucci

Linear programming (LP) is an extremely useful tool which has been successfully applied to solve various problems in a wide range of areas, including operations research, engineering, economics, or even more abstract mathematical areas such…

Data Structures and Algorithms · Computer Science 2022-09-26 Agniva Chowdhury , Gregory Dexter , Palma London , Haim Avron , Petros Drineas

In this paper, we propose a novel variable selection approach in the framework of sparse high-dimensional GLARMA models. It consists in combining the estimation of the autoregressive moving average (ARMA) coefficients of these models with…

Statistics Theory · Mathematics 2019-10-14 Céline Lévy-Leduc , Sarah Ouadah , Laure Sansonnet

Permutation methods are commonly used to test significance of regressors of interest in general linear models (GLMs) for functional (image) data sets, in particular for neuroimaging applications as they rely on mild assumptions. Permutation…

Methodology · Statistics 2021-11-23 Tomas Mrkvicka , Mari Myllymaki , Mikko Kuronen , Naveen Naidu Narisetty

Kernel mean embeddings, a widely used technique in machine learning, map probability distributions to elements of a reproducing kernel Hilbert space (RKHS). For supervised learning problems, where input-output pairs are observed, the…

Machine Learning · Statistics 2024-10-24 Ambrus Tamás , Balázs Csanád Csáji

The non-linear autoregressive (NLAR) model plays an important role in modeling and predicting time series. One-step ahead prediction is straightforward using the NLAR model, but the multi-step ahead prediction is cumbersome. For instance,…

Methodology · Statistics 2023-06-08 Kejin Wu , Dimitris N. Politis

We study the problem of identifying change points in high-dimensional generalized linear models, and propose an approach based on sample-weighted empirical risk minimization. Our method, Weighted ERM, encodes priors on the change points via…

Methodology · Statistics 2026-04-14 Gabriel Arpino , Ramji Venkataramanan

A weighted regression procedure is proposed for regression type problems where the innovations are heavy-tailed. This method approximates the least absolute regression method in large samples, and the main advantage will be if the sample is…

Computation · Statistics 2018-11-06 J. Martin van Zyl

We present a Bayesian method for multivariate changepoint detection that allows for simultaneous inference on the location of a changepoint and the coefficients of a logistic regression model for distinguishing pre-changepoint data from…

Methodology · Statistics 2025-03-11 Andrew M. Thomas , Michael Jauch , David S. Matteson

Linear mixed models (LMMs) are a popular class of methods for analyzing longitudinal and clustered data. However, such models can be sensitive to outliers, and this can lead to biased inference on model parameters and inaccurate prediction…

Methodology · Statistics 2025-03-28 Shonosuke Sugasawa , Francis K. C. Hui , Alan H. Welsh

Assuming stationarity is unrealistic in many time series applications. A more realistic alternative is to allow for piecewise stationarity, where the model is allowed to change at given time points. In this article, the problem of detecting…

Methodology · Statistics 2017-08-10 Abolfazl Safikhani , Ali Shojaie

In a survival analysis context we suggest a new method to estimate the piecewise constant hazard rate model. The method provides an automatic procedure to find the number and location of cut points and to estimate the hazard on each cut…

Methodology · Statistics 2016-12-07 O Bouaziz , G Nuel

Irregular Multivariate Time Series (IMTS) are characterized by uneven intervals between consecutive timestamps, which carry sampling pattern information valuable and informative for learning temporal and variable dependencies. In addition,…

Machine Learning · Computer Science 2026-02-26 Boyuan Li , Zhen Liu , Yicheng Luo , Qianli Ma

In this paper we propose new methodology for the data segmentation, also known as multiple change point problem, in a general framework including classic mean change scenarios, changes in linear regression but also changes in the time…

Methodology · Statistics 2023-11-17 Claudia Kirch , Kerstin Reckruehm

The latent position model (LPM) is a popular method used in network data analysis where nodes are assumed to be positioned in a $p$-dimensional latent space. The latent shrinkage position model (LSPM) is an extension of the LPM which…

Methodology · Statistics 2024-04-25 Xian Yao Gwee , Isobel Claire Gormley , Michael Fop

Change point analysis has become an important research topic in many fields of applications. Several research work has been carried out to detect changes and its locations in time series data. In this paper, a nonparametric method based on…

Methodology · Statistics 2017-11-28 Ramadha D. Piyadi Gamage , Wei Ning

Newton-step approximations to pseudo maximum likelihood estimates of spatial autoregressive models with a large number of parameters are examined, in the sense that the parameter space grows slowly as a function of sample size. These have…

Econometrics · Economics 2021-05-25 Abhimanyu Gupta

We propose a novel approach to parameter estimation for simulator-based statistical models with intractable likelihood. Our proposed method involves recursive application of kernel ABC and kernel herding to the same observed data. We…

Machine Learning · Statistics 2018-06-13 Takafumi Kajihara , Motonobu Kanagawa , Keisuke Yamazaki , Kenji Fukumizu

The segmentation of a time series into piecewise stationary segments, a.k.a. multiple change point analysis, is an important problem both in time series analysis and signal processing. In the presence of multiscale change points with both…

Methodology · Statistics 2023-11-17 Haeran Cho , Claudia Kirch

A validated simulation model primarily requires performing an appropriate input analysis mainly by determining the behavior of real-world processes using probability distributions. In many practical cases, probability distributions of the…

Applications · Statistics 2014-09-01 Issac Shams , Saeede Ajorlou , Kai Yang