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Autoregressive and moving-average (ARMA) models with stable Paretian errors is one of the most studied models for time series with infinite variance. Estimation methods for these models have been studied by many researchers but the problem…

统计理论 · 数学 2016-11-07 Jen-Wen Lin , A. Ian McLeod

A new portmanteau diagnostic test for vector autoregressive moving average (VARMA) models that is based on the determinant of the standardized multivariate residual autocorrelations is derived. The new test statistic may be considered an…

统计理论 · 数学 2016-11-03 Esam Mahdi , A. Ian McLeod

In this paper we consider portmanteau tests for testing the adequacy of multiplicative seasonal autoregressive moving-average (SARMA) models under the assumption that the errors are uncorrelated but not necessarily independent.We relax the…

统计理论 · 数学 2019-02-11 Yacouba Boubacar Maïnassara , Abdoulkarim Ilmi Amir

In this paper we derive the asymptotic distribution of normalized residual empirical autocovariances and autocorrelations under weak assumptions on the noise. We propose new portmanteau statistics for vector autoregressive moving-average…

统计理论 · 数学 2024-04-22 Yacouba Boubacar Maïnassara , Bruno Saussereau

The object of this paper is to study the asymptotic dependence structure of the linear time series models with infinitely divisible innovations by the use of their characteristic functions. Autoregressive moving-average (ARMA) models and…

统计理论 · 数学 2019-05-23 Muneya Matsui

Autoregressive moving average (ARMA) models are widely used for analyzing time series data. However, standard likelihood-based inference methodology for ARMA models has avoidable limitations. We show that currently accepted standards for…

统计方法学 · 统计学 2025-10-28 Jesse Wheeler , Edward L. Ionides

In this paper we consider the problem of detecting a change in the parameters of an autoregressive process, where the moments of the innovation process do not necessarily exist. An empirical likelihood ratio test for the existence of a…

统计理论 · 数学 2016-12-07 Fumiya Akashi , Holger Dette , Yan Liu

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…

统计方法学 · 统计学 2017-11-28 Ramadha D. Piyadi Gamage , Wei Ning

Two-dimensional (2-D) autoregressive moving average (ARMA) models are commonly applied to describe real-world image data, usually assuming Gaussian or symmetric noise. However, real-world data often present non-Gaussian signals, with…

统计方法学 · 统计学 2022-08-09 B. G. Palm , F. M. Bayer , R. J. Cintra

We consider the issue of performing accurate small sample inference in beta autoregressive moving average model, which is useful for modeling and forecasting continuous variables that assumes values in the interval $(0,1)$. The inferences…

统计计算 · 统计学 2017-02-16 Bruna Gregory Palm , Fábio M. Bayer

This article proposes omnibus portmanteau tests for contrasting adequacy of time series models. The test statistics are based on combining the autocorrelation function of the conditional residuals, the autocorrelation function of the…

统计方法学 · 统计学 2024-02-02 Esam Mahdi

The autoregressive moving average (ARMA) model is one of the most important models in time series analysis.We consider the Bayesian estimation of an unknown spectral density in the ARMA model.In the i.i.d. cases, Komaki showed that Bayesian…

统计理论 · 数学 2021-05-27 Fuyuhiko Tanaka , Fumiyasu Komaki

In this article, we study the asymptotic behaviour of the residual autocorrelations for periodic vector autoregressive time series models (PVAR henceforth) with uncorrelated but dependent innovations (i.e., weak PVAR). We then deduce the…

统计理论 · 数学 2024-10-01 Yacouba Boubacar Mainassara , Eugen Ursu

This paper considers both the least squares and quasi-maximum likelihood estimation for the recently proposed scalable ARMA model, a parametric infinite-order vector AR model, and their asymptotic normality is also established. It makes…

统计方法学 · 统计学 2024-06-28 Yuchang Lin , Wenyu Li , Qianqian Zhu , Guodong Li

In this paper we derive the asymptotic properties of the least squares estimator (LSE) of autoregressive moving-average (ARMA) models with regime changes under the assumption that the errors are uncorrelated but not necessarily independent.…

统计理论 · 数学 2019-07-11 Yacouba Boubacar Maïnassara , Landy Rabehasaina

We address the problem of defining early warning indicators of critical transition. To this purpose, we fit the relevant time series through a class of linear models, known as Auto-Regressive Moving-Average (ARMA(p,q)) models. We define two…

数据分析、统计与概率 · 物理学 2015-06-18 Davide Faranda , Flavio Maria Emanuele Pons , Bérengère Dubrulle

In this paper, in order to test whether changes have occurred in a nonlinear parametric regression, we propose a nonparametric method based on the empirical likelihood. Firstly, we test the null hypothesis of no-change against the…

统计理论 · 数学 2014-05-22 Gabriela Ciuperca , Zahraa Salloum

Estimating hidden processes from non-linear noisy observations is particularly difficult when the parameters of these processes are not known. This paper adopts a machine learning approach to devise variational Bayesian inference for such…

机器学习 · 计算机科学 2019-11-05 Komlan Atitey , Pavel Loskot , Lyudmila Mihaylova

In this work we introduce the class of beta autoregressive fractionally integrated moving average models for continuous random variables taking values in the continuous unit interval $(0,1)$. The proposed model accommodates a set of…

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,…

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