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In unit root testing, a piecewise locally stationary process is adopted to accommodate nonstationary errors that can have both smooth and abrupt changes in second- or higher-order properties. Under this framework, the limiting null…

计量经济学 · 经济学 2018-02-16 Yeonwoo Rho , Xiaofeng Shao

We show that the activation knot of a potentially non-stationary regressor on the adaptive Lasso solution path in autoregressions can be leveraged for selection-free inference about a unit root. The resulting test has asymptotic power…

统计方法学 · 统计学 2024-07-23 Martin C. Arnold , Thilo Reinschlüssel

This paper explores testing unit roots based on least absolute deviations (LAD) regression under unconditional heteroskedasticity. We first derive the asymptotic properties of the LAD estimator for a first-order autoregressive process with…

统计方法学 · 统计学 2024-10-18 Jilin Wu , Ruike Wu , Zhijie Xiao

In this paper we investigate how the bootstrap can be applied to time series regressions when the volatility of the innovations is random and non-stationary. The volatility of many economic and financial time series displays persistent…

计量经济学 · 经济学 2021-01-12 H. Peter Boswijk , Giuseppe Cavaliere , Anders Rahbek , Iliyan Georgiev

Both seasonal unit roots and periodic variation can be prevalent in seasonal data. When testing seasonal unit roots under periodic variation, the validity of the existing methods, such as the HEGY test, remains unknown. This paper analyzes…

统计方法学 · 统计学 2019-09-24 Nan Zou , Dimitris N. Politis

We consider penalized extremum estimation of a high-dimensional, possibly nonlinear model that is sparse in the sense that most of its parameters are zero but some are not. We use the SCAD penalty function, which provides model selection…

计量经济学 · 经济学 2024-02-23 Joel L. Horowitz , Ahnaf Rafi

The Adaptive Lasso(Alasso) was proposed by Zou [\textit{J. Amer. Statist. Assoc. \textbf{101} (2006) 1418-1429}] as a modification of the Lasso for the purpose of simultaneous variable selection and estimation of the parameters in a linear…

统计方法学 · 统计学 2018-02-16 Debraj Das , Karl Gregory , S. N. Lahiri

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…

统计计算 · 统计学 2018-11-06 J. Martin van Zyl

We introduce a bootstrap procedure for high-frequency statistics of Brownian semistationary processes. More specifically, we focus on a hypothesis test on the roughness of sample paths of Brownian semistationary processes, which uses an…

统计理论 · 数学 2021-01-06 Mikkel Bennedsen , Ulrich Hounyo , Asger Lunde , Mikko S. Pakkanen

This paper analyses the use of bootstrap methods to test for parameter change in linear models estimated via Two Stage Least Squares (2SLS). Two types of test are considered: one where the null hypothesis is of no change and the alternative…

计量经济学 · 经济学 2020-02-03 Otilia Boldea , Adriana Cornea-Madeira , Alastair R. Hall

We propose a novel approach to elicit the weight of a potentially non-stationary regressor in the consistent and oracle-efficient estimation of autoregressive models using the adaptive Lasso. The enhanced weight builds on a statistic that…

统计方法学 · 统计学 2024-07-23 Thilo Reinschlüssel , Martin C. Arnold

The wild bootstrap is the resampling method of choice in survival analytic applications. Theoretic justifications rely on the assumption of existing intensity functions which is equivalent to an exclusion of ties among the event times.…

统计理论 · 数学 2024-09-11 Dennis Dobler , Merle Munko

We establish the asymptotic validity of the bootstrap-based IVX estimator proposed by Phillips and Magdalinos (2009) for the predictive regression model parameter based on a local-to-unity specification of the autoregressive coefficient…

计量经济学 · 经济学 2023-07-28 Christis Katsouris

Zou [J. Amer. Statist. Assoc. 101 (2006) 1418-1429] proposed the Adaptive LASSO (ALASSO) method for simultaneous variable selection and estimation of the regression parameters, and established its oracle property. In this paper, we…

统计理论 · 数学 2013-07-09 A. Chatterjee , S. N. Lahiri

We consider the least-square linear regression problem with regularization by the l1-norm, a problem usually referred to as the Lasso. In this paper, we present a detailed asymptotic analysis of model consistency of the Lasso. For various…

机器学习 · 计算机科学 2008-12-18 Francis Bach

We consider bootstrap-based testing for threshold effects in non-linear threshold autoregressive (TAR) models. It is well-known that classic tests based on asymptotic theory tend to be oversized in the case of small, or even moderate sample…

统计方法学 · 统计学 2022-01-04 Simone Giannerini , Greta Goracci , Anders Rahbek

One of the most widely applied unit root test, Phillips-Perron test, enjoys in general highpowers, but suffers from size distortions when moving average noise exists. As a remedy, thispaper proposes a nonparametric bootstrap unit root test…

统计方法学 · 统计学 2019-07-23 Nan Zou , Dimitris Politis

A unit root test is proposed for time series with a general nonlinear deterministic trend component. It is shown that asymptotically the pooled OLS estimator of overlapping blocks filters out any trend component that satisfies some…

计量经济学 · 经济学 2020-09-15 Sven Otto

This paper is mainly concerned with asymptotic studies of weighted bootstrap for u- and v-statistics. We derive the consistency of the weighted bootstrap u- and v-statistics, based on i.i.d. and non i.i.d. observations, from some more…

统计理论 · 数学 2012-10-23 Miklos Csorgo , Masoud M. Nasari

We propose a simple modification to the wild bootstrap procedure and establish its asymptotic validity for linear regression models with many covariates and heteroskedastic errors. Monte Carlo simulations show that the modified wild…

计量经济学 · 经济学 2025-06-27 Wenze Li
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