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Quantile Regression in Reproducing Kernel Hilbert Spaces

再生核希尔伯特空间中的分位数回归

In this article we consider quantile regression in reproducing kernel Hilbert spaces, which we call kernel quantile regression (KQR). We make three contributions: (1) we propose an efficient algorithm that computes the entire solution path of the KQR, with essentially the same computational cost as fitting one KQR model; (2) we derive a simple formula for the effective dimension of the KQR model, which allows convenient selection of the regularization parameter; and (3) we…

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Controlling Variable Selection by the Addition of Pseudovariables

通过添加伪变量控制变量选择

We propose a new approach to variable selection designed to control the false selection rate (FSR), defined as the proportion of uninformative variables included in selected models. The method works by adding a known number of pseudovariables to the real dataset, running a variable selection procedure, and monitoring the proportion of pseudovariables falsely selected. Information obtained from bootstrap-like replications of this process is used to estimate the proportion of…

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Empirical Likelihood Inference in Nonlinear Errors-in-Covariables Models With Validation Data

利用验证数据对非线性协变量测量误差模型进行经验似然推断

In this article we study inference in parametric–nonparametric errors-in-covariables regression models using an empirical likelihood approach based on validation data. It is shown that the asymptotic behavior of the proposed estimator depends on the ratio of the sizes of the primary sample and the validation sample, respectively. Unlike cases without measurement errors, the limit distribution of the estimator is no longer tractable and cannot be used for constructing…

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A Sturdy Reduced-Bias Extreme Quantile ( VaR ) Estimator

稳健的减偏极端分位数(VaR)估计量

Please see the supplementary material for an important correction.The main objective of statistics of extremes lies in the estimation of quantities related to extreme events. In many areas of application, such as statistical quality control, insurance, and finance, a typical requirement is to estimate a high quantile, that is, the value at risk at a level p (VaRp), high enough so that the chance of an exceedance of that value is equal to p, small. In this article we deal…

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Efficient Wald Tests for Fractional Unit Roots

分数单位根的有效 Wald 检验

In this article we introduce efficient Wald tests for testing the null hypothesis of the unit root against the alternative of the fractional unit root. In a local alternative framework, the proposed tests are locally asymptotically equivalent to the optimal Robinson Lagrange multiplier tests. Our results contrast with the tests for fractional unit roots, introduced by Dolado, Gonzalo, and Mayoral, which are inefficient. In the presence of short range serial correlation, we…

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Estimating and Testing Structural Changes in Multivariate Regressions

多元回归中结构变化的估计与检验

This paper considers issues related to estimation, inference, and computation with multiple structural changes that occur at unknown dates in a system of equations. Changes can occur in the regression coefficients and/or the covariance matrix of the errors. We also allow arbitrary restrictions on these parameters, which permits the analysis of partial structural change models, common breaks that occur in all equations, breaks that occur in a subset of equations, and so…

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A simple panel unit root test in the presence of cross‐section dependence

存在截面依赖时的简单面板单位根检验

Abstract A number of panel unit root tests that allow for cross‐section dependence have been proposed in the literature that use orthogonalization type procedures to asymptotically eliminate the cross‐dependence of the series before standard panel unit root tests are applied to the transformed series. In this paper we propose a simple alternative where the standard augmented Dickey–Fuller (ADF) regressions are augmented with the cross‐section averages of lagged levels and…

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Subsampling hypothesis tests for nonstationary panels with applications to exchange rates and stock prices

非平稳面板的子抽样假设检验:汇率与股票价格应用

Abstract This paper studies subsampling hypothesis tests for panel data that may be nonstationary, cross‐sectionally correlated, and cross‐sectionally cointegrated. The subsampling approach provides approximations to the finite sample distributions of the tests without estimating nuisance parameters. The tests include panel unit root and cointegration tests as special cases. The number of cross‐sectional units is assumed to be finite and that of time‐series observations…

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Long‐run trends in internal migrations in italy: a study in panel cointegration with dependent units

意大利内部迁移的长期趋势:存在个体依赖的面板协整研究

Abstract The objective of this paper is to examine the long‐run determinants of internal migrations from southern Italy. In order to accomplish this task, the paper develops a bootstrap test for panel cointegration analysis with dependent units. Monte Carlo simulations show that the test, based on the Continuous‐Path Block bootstrap, has good power and size properties and is robust to both short‐ and long‐run dependence across units. The empirical analysis points to income…

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Panel unit root tests and spatial dependence

面板单位根检验与空间依赖

Abstract This paper studies the performance of panel unit root tests when spatial effects are present that account for cross‐section correlation. Monte Carlo simulations show that there can be considerable size distortions in panel unit root tests when the true specification exhibits spatial error correlation. These tests are applied to a panel data set on net real income from the 1000 largest French communes observed over the period 1985–1998. Copyright © 2007 John Wiley &…

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Dynamic factor extraction of cross‐sectional dependence in panel unit root tests

面板单位根检验中截面依赖的动态因子提取

Abstract Recently, considerable emphasis has been placed on the problems arising out of cross‐sectional dependence in panel unit root tests. This paper adopts the factor‐based cross‐sectional dependence paradigm of Bai and Ng ( 2005 ) but suggests alternative factor extraction methods. Some theoretical results for these methods are provided. Further, a detailed Monte Carlo study of these methods for multiple and persistent factors is undertaken. It is found that results are…

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Heterogeneity and cross section dependence in panel data models: theory and applications introduction

面板数据模型中的异质性与截面依赖:理论与应用专题导言

Abstract The papers included in this special issue are primarily concerned with the problem of cross section dependence and heterogeneity in the analysis of panel data models and their relevance in applied econometric research. Cross section dependence can arise due to spatial or spill over effects, or could be due to unobserved (or unobservable) common factors. Much of the recent research on non‐stationary panel data have focussed on this problem. It was clear that the…

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Social capital, barriers to production and capital shares: implications for the importance of parameter heterogeneity from a nonstationary panel approach

社会资本、生产壁垒与资本份额:非平稳面板中的参数异质性

Abstract Recent advances in the growth literature have proposed that difficult‐to‐quantify concepts such as social capital may play an important role in explaining the degree of persistent income disparity that is observed among countries. Other recently explored possibilities include institutional mechanisms which generate barriers to aggregate production. An important limitation for empirical work in this area stems from the fact that it is difficult to distinguish sources…

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Resampling-based empirical prediction: an application to small area estimation

基于重抽样的经验预测:小区域估计应用

Best linear unbiased prediction is well known for its wide range of applications including small area estimation. While the theory is well established for mixed linear models and under normality of the error and mixing distributions, the literature is sparse for nonlinear mixed models under nonnormality of the error distribution or of the mixing distributions. We develop a resampling-based unified approach for predicting mixed effects under a generalized mixed model set-up.…

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Inference on fractal processes using multiresolution approximation

利用多分辨率近似对分形过程进行推断

We consider Bayesian inference via Markov chain Monte Carlo for a variety of fractal Gaussian processes on the real line. These models have unknown parameters in the covariance matrix, requiring inversion of a new covariance matrix at each Markov chain Monte Carlo iteration. The processes have no suitable independence properties so this becomes computationally prohibitive. We surmount these difficulties by developing a computational algorithm for likelihood evaluation based…

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On the alignment of multiple time series fragments

多个时间序列片段的对齐

We consider a local least-squares criterion for aligning multiple time series fragments differing by locations and show the consistency of the time-lag estimator and the asymptotic normality of the location estimator. We apply the criterion to the problem of aligning 50 glacial varve fragments and construct a 3000-year surrogate for global temperature.

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An asymptotic theory for model selection inference in general semiparametric problems

一般半参数问题中模型选择推断的渐近理论

Hjort & Claeskens (2003) developed an asymptotic theory for model selection, model averaging and subsequent inference using likelihood methods in parametric models, along with associated confidence statements. In this article, we consider a semiparametric version of this problem, wherein the likelihood depends on parameters and an unknown function, and model selection/averaging is to be applied to the parametric parts of the model. We show that all the results of Hjort &…

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Testing goodness-of-fit in logistic case-control studies

病例对照研究中逻辑回归的拟合优度检验

We present a goodness-of-fit test for the logistic regression model under case-control sampling. The test statistic is constructed via a discrepancy between two competing kernel density estimators of the underlying conditional distributions given case-control status. The proposed goodness-of-fit test is shown to compare very favourably with previously proposed tests for case-control sampling in terms of power. The test statistic can be easily computed as a quadratic form in…

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Model evaluation based on the sampling distribution of estimated absolute prediction error

基于绝对预测误差估计量抽样分布的模型评价

The construction of a reliable, practically useful prediction rule for future responses is heavily dependent on the ‘adequacy’ of the fitted regression model. In this article, we consider the absolute prediction error, the expected value of the absolute difference between the future and predicted responses, as the model evaluation criterion. This prediction error is easier to interpret than the average squared error and is equivalent to the misclassification error for a…

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Small-sample degrees of freedom for multi-component significance tests with multiple imputation for missing data

多重插补多分量显著性检验的小样本自由度

When performing multi-component significance tests with multiply-imputed datasets, analysts can use a Wald-like test statistic and a reference F-distribution. The currently employed degrees of freedom in the denominator of this F-distribution are derived assuming an infinite sample size. For modest complete-data sample sizes, this degrees of freedom can be unrealistic; for example, it may exceed the complete-data degrees of freedom. This paper presents an alternative…

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Pairwise dependence diagnostics for clustered failure-time data

聚类失效时间数据的成对依赖诊断

Frailty and copula models specify a parametric dependence structure for multivariate failure-time data. Estimation of some joint quantities can be highly sensitive to the assumed parametric form, and hence model fit is an important issue. This paper lays out a general diagnostic framework for evaluating and selecting frailty and copula models. The approach is based on the cumulative sum of residuals that are calculated in bivariate time. The residuals reflect the difference…

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Nonparametric estimation of age-at-onset distributions from censored kin-cohort data

从删失亲属队列数据非参数估计发病年龄分布

We present a nonparametric estimator of genotype-specific age-at-onset distributions from kin-cohort data. Standard error calculations are derived and the methodology is illustrated through an analysis of the influence of mutations of the Parkin gene on Parkinson's disease. Semiparametric efficiency considerations are briefly discussed.

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A weighted multivariate sign test for cluster-correlated data

聚类相关数据的加权多元符号检验

We consider the multivariate location problem with cluster-correlated data. A family of multivariate weighted sign tests is introduced for which observations from different clusters can receive different weights. Under weak assumptions, the test statistic is asymptotically distributed as a chi-squared random variable as the number of clusters goes to infinity. The asymptotic distribution of the test statistic is also given for a local alternative model under multivariate…

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Marginal tests with sliced average variance estimation

基于切片平均方差估计的边际检验

We present a new computationally feasible test for the dimension of the central subspace in a regression problem based on sliced average variance estimation. We also provide a marginal coordinate test. Under the null hypothesis, both the test of dimension and the marginal coordinate test involve test statistics that asymptotically have chi-squared distributions given normally distributed predictors, and have a distribution that is a linear combination of chi-squared…

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