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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…

统计理论 · 数学 2021-10-20 Jean-Marc Bardet , Kamila Kare , William Kengne

We consider the strongly consistent question for model selection in a large class of causal time series models, including AR($\infty$), ARCH($\infty$), TARCH($\infty$), ARMA-GARCH and many classical others processes. We propose a penalized…

统计理论 · 数学 2020-08-21 William Kengne

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. To…

统计理论 · 数学 2019-07-24 Jean-Marc Bardet , Kare Kamila , William Kengne

One of the important and widely used classes of models for non-Gaussian time series is the generalized autoregressive model average models (GARMA), which specifies an ARMA structure for the conditional mean process of the underlying time…

统计方法学 · 统计学 2021-05-13 Tingguo Zheng , Han Xiao , Rong Chen

This paper considers quantile regression for a wide class of time series models including ARMA models with asymmetric GARCH (AGARCH) errors. The classical mean-variance models are reinterpreted as conditional location-scale models so that…

统计方法学 · 统计学 2015-03-03 Jungsik Noh , Sangyeol Lee

In this paper, we study a general class of causal processes with exogenous covariates, including many classical processes such as the ARMA-GARCH, APARCH, ARMAX, GARCH-X and APARCH-X processes. Under some Lipschitz-type conditions, the…

统计理论 · 数学 2021-09-07 Mamadou Lamine Diop , William Kengne

In this paper we discuss dynamic ARMA-type regression models for time series taking values in $(0,\infty)$. In the proposed model, the conditional mean is modeled by a dynamic structure containing autoregressive and moving average terms,…

The ARCH process (R. F. Engle, 1982) constitutes a paradigmatic generator of stochastic time series with time-dependent variance like it appears on a wide broad of systems besides economics in which ARCH was born. Although the ARCH process…

数据分析、统计与概率 · 物理学 2008-12-02 Silvio M. Duarte Queiros

We express the classic ARMA time-series model as a directed graphical model. In doing so, we find that the deterministic relationships in the model make it effectively impossible to use the EM algorithm for learning model parameters. To…

应用统计 · 统计学 2012-08-10 Bo Thiesson , David Maxwell Chickering , David Heckerman , Christopher Meek

This paper is devoted to the off-line multiple change-point detection in a semiparametric framework. The time series is supposed to belong to a large class of models including AR($\infty$), ARCH($\infty$), TARCH($\infty$),... models where…

统计理论 · 数学 2010-08-04 Jean-Marc Bardet , William Chakry Kengne , Olivier Wintenberger

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…

统计方法学 · 统计学 2021-09-03 Batista Nunes de Oliveira , Marcio Valk , Danilo Marcondes Filho

Generative moment matching networks (GMMNs) are introduced as dependence models for the joint innovation distribution of multivariate time series (MTS). Following the popular copula-GARCH approach for modeling dependent MTS data, a…

统计方法学 · 统计学 2021-10-05 Marius Hofert , Avinash Prasad , Mu Zhu

Matrix-variate time series data are largely available in applications. However, no attempt has been made to study their conditional heteroskedasticity that is often observed in economic and financial data. To address this gap, we propose a…

统计方法学 · 统计学 2023-06-09 Cheng Yu , Dong Li , Feiyu Jiang , Ke Zhu

We extend the theory from Fan and Li (2001) on penalized likelihood-based estimation and model-selection to statistical and econometric models which allow for non-negativity constraints on some or all of the parameters, as well as…

计量经济学 · 经济学 2023-02-07 Heino Bohn Nielsen , Anders Rahbek

We consider a process $ X= (X_t)_{t\in \Z}$ belonging to a large class of causal models including AR($\infty$), ARCH($\infty$), TARCH($\infty$),... models. We assume that the model depends on a parameter $\theta_0 \in \R^d$ and consider the…

统计理论 · 数学 2011-07-05 Kengne William Charky

Here, we use Machine Learning (ML) algorithms to update and improve the efficiencies of fitting GARCH model parameters to empirical data. We employ an Artificial Neural Network (ANN) to predict the parameters of these models. We present a…

计量经济学 · 经济学 2022-01-11 Luke De Clerk , Sergey Savl'ev

Estimating conditional quantiles of financial time series is essential for risk management and many other applications in finance. It is well-known that financial time series display conditional heteroscedasticity. Among the large number of…

统计方法学 · 统计学 2016-10-25 Yao Zheng , Qianqian Zhu , Guodong Li , Zhijie Xiao

In this paper, we use convolutional neural networks to address the problem of model identification for autoregressive moving average time series models. We compare the performance of several neural network architectures, trained on…

统计方法学 · 统计学 2020-07-21 Wai Hoh Tang , Adrian Röllin

In this article, we first propose the modified Hannan-Rissanen Method for estimating the parameters of the autoregressive moving average (ARMA) process with symmetric stable noise and symmetric stable generalized autoregressive conditional…

统计计算 · 统计学 2019-11-25 Aastha M. Sathe , N. S. Upadhye

Time series of counts are frequently analyzed using generalized integer-valued autoregressive models with conditional heteroskedasticity (INGARCH). These models employ response functions to map a vector of past observations and past…

统计方法学 · 统计学 2023-04-04 Malte Jahn
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