Variable selection in sparse GLARMA models

التفاصيل البيبلوغرافية
العنوان: Variable selection in sparse GLARMA models
المؤلفون: Gomtsyan, M., Lévy-Leduc, C., Ouadah, S., Sansonnet, L.
سنة النشر: 2020
المجموعة: Statistics
مصطلحات موضوعية: Statistics - Methodology
الوصف: In this paper, we propose a novel and efficient two-stage variable selection approach for sparse GLARMA models, which are pervasive for modeling discrete-valued time series. Our approach consists in iteratively combining the estimation of the autoregressive moving average (ARMA) coefficients of GLARMA models with regularized methods designed for performing variable selection in regression coefficients of Generalized Linear Models (GLM). We first establish the consistency of the ARMA part coefficient estimators in a specific case. Then, we explain how to efficiently implement our approach. Finally, we assess the performance of our methodology using synthetic data and compare it with alternative methods. Our approach is very attractive since it benefits from a low computational load and is able to outperform the other methods in terms of coefficient estimation, particularly in recovering the non null regression coefficients.
Comment: arXiv admin note: substantial text overlap with arXiv:1907.07085
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2007.08623
رقم الأكسشن: edsarx.2007.08623
قاعدة البيانات: arXiv