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相关论文: Semiparametric Estimation of Fractional Integratio…

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Long memory in the sense of slowly decaying autocorrelations is a stylized fact in many time series from economics and finance. The fractionally integrated process is the workhorse model for the analysis of these time series. Nevertheless,…

计量经济学 · 经济学 2023-09-22 Uwe Hassler , Marc-Oliver Pohle

This paper addresses the estimation of locally stationary long-range dependent processes, a methodology that allows the statistical analysis of time series data exhibiting both nonstationarity and strong dependency. A time-varying…

统计理论 · 数学 2010-11-12 Wilfredo Palma , Ricardo Olea

An exact form of the local Whittle likelihood is studied with the intent of developing a general-purpose estimation procedure for the memory parameter (d) that does not rely on tapering or differencing prefilters. The resulting exact local…

统计理论 · 数学 2007-06-13 Katsumi Shimotsu , Peter C. B. Phillips

We introduce methods and theory for fractionally cointegrated curve time series. We develop a variance-ratio test to determine the dimensions associated with the nonstationary and stationary subspaces. For each subspace, we apply a local…

统计理论 · 数学 2024-09-10 Won-Ki Seo , Han Lin Shang

In the general setting of long-memory multivariate time series, the long-memory characteristics are defined by two components. The long-memory parameters describe the autocorrelation of each time series. And the long-run covariance measures…

统计理论 · 数学 2023-08-07 Sophie Achard , Irène Gannaz

We consider a time series $X=\{X_k, k\in\mathbb{Z}\}$ with memory parameter $d\in\mathbb{R}$. This time series is either stationary or can be made stationary after differencing a finite number of times. We study the "Local Whittle Wavelet…

统计理论 · 数学 2008-08-18 Eric Moulines , François Roueff , Murad S. Taqqu

This work develops non-asymptotic theory for estimation of the long-run variance matrix and its inverse, the so-called precision matrix, for high-dimensional time series under general assumptions on the dependence structure including…

统计理论 · 数学 2023-01-02 Changryong Baek , Marie-Christine Düker , Vladas Pipiras

We study a well-known estimator of the fractal index of a stochastic process. Our framework is very general and encompasses many models of interest; we show how to extend the theory of the estimator to a large class of non-Gaussian…

统计理论 · 数学 2020-09-02 Mikkel Bennedsen

Moving from univariate to bivariate jointly dependent long-memory time series introduces a phase parameter $(\gamma)$, at the frequency of principal interest, zero; for short-memory series $\gamma=0$ automatically. The latter case has also…

统计理论 · 数学 2008-11-07 P. M. Robinson

We consider a common-components model for multivariate fractional cointegration, in which the $s\geq1$ components have different memory parameters. The cointegrating rank may exceed 1. We decompose the true cointegrating vectors into…

统计理论 · 数学 2011-11-10 Willa W. Chen , Clifford M. Hurvich

This paper investigates bootstrap-based bias correction of semiparametric estimators of the long memory parameter, $d$, in fractionally integrated processes. The re-sampling method involves the application of the sieve bootstrap to data…

统计方法学 · 统计学 2016-03-08 Don S. Poskitt , Gael M. Martin , Simone D. Grose

This paper explores seasonal and long-memory time series properties by using the seasonal fractional ARIMA model when the seasonal data has one and two seasonal periods and short-memory counterparts. The stationarity and invertibility…

应用统计 · 统计学 2010-11-29 Valderio A. Reisen , Wilfredo Palma , Josu Arteche , Bartolomeu Zamprogno

In the recent years, methods to estimate the memory parameter using wavelet analysis have gained popularity in many areas of science. Despite its widespread use, a rigorous semi-parametric asymptotic theory, comparable to the one developed…

统计理论 · 数学 2007-06-13 Eric Moulines , François Roueff , Murad Taqqu

The semivarying coefficient models are widely used in the application of finance, economics, medical science and many other areas. The functional coefficients are commonly estimated by local smoothing methods, e.g. local linear estimator.…

统计方法学 · 统计学 2020-01-01 Heng Peng , Chuanlong Xie , Jingxin Zhao

The classical regular and partial autocorrelation functions are powerful tools for stationary time series modelling and analysis. However, it is increasingly recognized that many time series are not stationary and the use of classical…

统计理论 · 数学 2021-10-27 Rebecca Killick , Marina I. Knight , Guy P. Nason , Idris A. Eckley

This paper investigates the use of bootstrap-based bias correction of semi-parametric estimators of the long memory parameter in fractionally integrated processes. The re-sampling method involves the application of the sieve bootstrap to…

统计方法学 · 统计学 2014-02-28 D. S. Poskitt , Gael M. Martin , Simone D. Grose

This paper considers an estimation of semiparametric functional (varying)-coefficient quantile regression with spatial data. A general robust framework is developed that treats quantile regression for spatial data in a natural…

统计理论 · 数学 2014-02-06 Zudi Lu , Qingguo Tang , Longsheng Cheng

Marginal structural models are a popular method for estimating causal effects in the presence of time-varying exposures. In spite of their popularity, no scalable non-parametric estimator exist for marginal structural models with…

统计方法学 · 统计学 2024-09-30 Axel Martin , Michele Santacatterina , Iván Díaz

There exists a wide literature on modelling strongly dependent time series using a longmemory parameter d, including more recent work on semiparametric wavelet estimation. As a generalization of these latter approaches, in this work we…

统计理论 · 数学 2010-07-28 François Roueff , Rainer Von Sachs

We study semiparametric inference in some linear regression models with time-varying coefficients, dependent regressors and dependent errors. This problem, which has been considered recently by Zhang and Wu (2012) under the functional…

统计理论 · 数学 2017-07-19 Lionel Truquet
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