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Change point tests in functional factor models with application to yield curves

函数型因子模型中的变点检验及收益率曲线应用

Motivated by the problem of the detection of a change point in the mean structure of yield curves, we introduce several methods to test the null hypothesis that the mean structure of a time series of curves does not change. The mean structure does not refer merely to the level of the curves, but also to their range and other aspects of their shape, most prominently concavity. The performance of the tests depends on whether possible break points in the error structure, which…

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A Review of Economic Forecasting

《经济预测》评介

Prediction is very difficult, especially if it's about the future. (Nils Bohr, Nobel Laureate in Physics) Forcasting is a very difficult task indeed. Take exchange rates, as an example: forecasting exchange rates is not an easy task. It is unclear whether economic models are useful at all in forecasting exchange rates; when they are, the predictive content of economic predictors appears sporadically and erratically Rossi, (2013). How do we evaluate the forecasting ability of…

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Using Mixtures in Econometric Models: A Brief Review and Some New Results

计量经济模型中的混合分布:简要综述与新结果

This paper is concerned with applications of mixture models in econometrics. Focused attention is given to semiparametric and nonparametric models that incorporate mixture distributions, where important issues about model specifications arise. For example, there is a significant difference between a finite mixture and a continuous mixture in terms of model identifiability. Likewise, the dimension of the latent mixing variables is a critical issue, in particular when a…

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Instrumental variable estimation of a spatial dynamic panel model with endogenous spatial weights when T is small

短时间维度下内生空间权重动态面板模型的工具变量估计

The spatial dynamic panel data (SDPD) model is a standard tool for analysing data with both spatial correlation and dynamic dependences among economic units. Conventional estimation methods rely on the key assumption that the spatial weight matrix is exogenous, which would likely be violated in some empirical applications where spatial weights are determined by economic factors. In this paper, we propose an SDPD model with individual fixed effects in a short time dimension,…

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Nonlinear panel data estimation via quantile regressions

通过分位数回归估计非线性面板模型

We introduce a class of quantile regression estimators for short panels. Our framework covers static and dynamic autoregressive models, models with general predetermined regressors and models with multiple individual effects. We use quantile regression as a flexible tool to model the relationships between outcomes, covariates and heterogeneity. We develop an iterative simulation‐based approach for estimation, which exploits the computational simplicity of ordinary quantile…

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On ill-posedness of nonparametric instrumental variable regression with convexity constraints

凸性约束下非参数工具变量回归的不适定性

This note shows that adding monotonicity or convexity constraints on the regression function does not restore well‐posedness in nonparametric instrumental variable regression. The minimum distance problem without regularization is still locally ill‐posed.

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Estimating a nonparametric triangular model with binary endogenous regressors

含二元内生解释变量的非参数三角模型估计

We consider identification and estimation in a nonparametric triangular system with a binary endogenous regressor and nonseparable errors. For identification, we take a control function approach utilizing the Dynkin system idea. We articulate various trade‐offs, including continuity, monotonicity and differentiability. For estimation, we use the idea of local instruments under smoothness assumptions, but we do not assume additive separability in latent variables. Our…

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Lagrange multiplier type tests for slope homogeneity in panel data models

面板数据模型中斜率同质性的拉格朗日乘数型检验

In this paper, we employ the Lagrange multiplier (LM) principle to test parameter homogeneity across cross‐section units in panel data models. The test can be seen as a generalization of the Breusch–Pagan test against random individual effects to all regression coefficients. While the original test procedure assumes a likelihood framework under normality, several useful variants of the LM test are presented to allow for non‐normality, heteroscedasticity and serially…

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Finite mixture models with one exclusion restriction

具有一个排除限制的有限混合模型

This paper characterizes the identified set for finite mixture models with one exclusion restriction on the data‐generating process. It provides necessary and sufficient conditions on the observed data for point identification and for when the identified set has measure zero. The results are illustrated in a simulation study and with data from a randomized controlled trial on chemotherapy for colon cancer as well as with data from an observational study used to estimate…

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Model averaging in predictive regressions

预测回归中的模型平均

In this paper, we consider forecast combination in a predictive regression. We construct the point forecast by combining predictions from all possible linear regression models, given a set of potentially relevant predictors. We derive the asymptotic risk of least‐squares averaging estimators in a local asymptotic framework. We then develop a frequentist model averaging criterion, an asymptotically unbiased estimator of the asymptotic risk, to select forecast weights. Monte…

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Nonparametric bootstrap tests for independence of generalized errors

广义误差独立性的非参数自助检验

In this paper, we develop a general method of testing for independence when unobservable generalized errors are involved. Our method can be applied to testing for serial independence of generalized errors, and testing for independence between the generalized errors and observable covariates. The former can serve as a unified approach to testing the adequacy of time series models, as model adequacy often implies that the generalized errors obtained after a suitable…

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Validity of Edgeworth expansions for realized volatility estimators

已实现波动率估计量的Edgeworth展开有效性

The main contribution of this paper is to establish the formal validity of Edgeworth expansions for realized volatility estimators. First, in the context of no microstructure effects, our results rigorously justify the Edgeworth expansions for realized volatility derived in Gonçalves and Meddahi (2009, Econometrica 77, 283–306). Second, we show that the validity of the Edgeworth expansions for realized volatility might not cover the optimal two‐point distribution wild…

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Asymptotic refinements of nonparametric bootstrap for quasi‐likelihood ratio tests for classes of extremum estimators

极值估计量拟似然比检验的非参数自助法渐近改进

We study the asymptotic refinements of nonparametric bootstrap for quasi‐likelihood ratio type tests of nonlinear restrictions. The bootstrap method applies to extremum estimators, such as quasi‐maximum likelihood and generalized method of moments estimators, among others. Unlike existing parametric bootstrap procedures for quasi‐likelihood ratio type tests, this bootstrap approach does not require any specific parametric assumption on the data distribution, and constructs…

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An overview of the estimation of large covariance and precision matrices

大规模协方差矩阵与精度矩阵估计综述

The estimation of large covariance and precision matrices is fundamental in modern multivariate analysis. However, problems arise from the statistical analysis of large panel economic and financial data. The covariance matrix reveals marginal correlations between variables, while the precision matrix encodes conditional correlations between pairs of variables given the remaining variables. In this paper, we provide a selective review of several recent developments on the…

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Residuals‐based tests for cointegration with generalized least‐squares detrended data

基于广义最小二乘去趋势数据的残差协整检验

We provide generalized least‐squares (GLS) detrended versions of single‐equation static regression or residuals‐based tests for testing whether or not non‐stationary time series are cointegrated. Our approach is to consider nearly optimal tests for unit roots and to apply them in the cointegration context. We derive the local asymptotic power functions of all tests considered for a triangular data‐generating process, imposing a directional restriction such that the…

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Confidence sets for the break date based on optimal tests

基于最优检验的结构断点日期置信集

In this paper, we propose constructing a confidence set for the date of a one‐time structural change using a point optimal test. Following Elliott and Müller (2007, Journal of Econometrics 141, 1196–1218), we first construct a test for the break date that maximizes the weighted average of the power function. The confidence set is then obtained by inverting the test statistic. We carefully choose the weights and show by Monte Carlo simulations that the confidence set based on…

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Nonparametric tests of conditional treatment effects with an application to single-sex schooling on academic achievements

条件处理效应的非参数检验:单性别学校学业表现的应用

We develop a general class of nonparametric tests for treatment effects conditional on covariates. We consider a wide spectrum of null hypotheses regarding conditional treatment effects, including the following: (a) the null hypothesis of the conditional stochastic dominance between treatment and control groups; (b) the null hypothesis that the conditional average treatment effect is nonpositive for each value of covariates; (c) the null hypothesis of no distributional (or…

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Novel panel cointegration tests emending for cross-section dependence with N fixed

N 固定时校正横截面依赖的新型面板协整检验

In this paper, we propose new cointegration tests for single equations and panels. In both cases, the asymptotic distributions of the tests, which are derived with N fixed and T→∞, are shown to be standard normals. The effects of serial correlation and cross‐sectional dependence are mopped out via long‐run variances. An effective bias correction is derived, which is shown to work well in finite samples, particularly when N is smaller than T. Our panel tests are robust to…

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Identification and estimation of single-index models with measurement error and endogeneity

存在测量误差与内生性时单指标模型的识别与估计

Economic variables are often measured with an error and may be endogenous. In this paper, we give new identification results for the ratio of partial effects in linear index models with measurement error and endogeneity. The identification restrictions include independence of covariates and error terms, and the derivative of some conditional mean functions being nonzero. We propose a local polynomial regression estimator to estimate the single‐index parameters. We apply…

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A class of indirect inference estimators: higher‐order asymptotics and approximate bias correction

一类间接推断估计量:高阶渐近性质与近似偏误校正

In this paper, we define a set of indirect inference estimators based on moment approximations of the auxiliary estimators. Their introduction is motivated by reasons of analytical and computational facilitation. Their definition provides an indirect inference framework for some classical bias correction procedures. We derive higher‐order asymptotic properties of these estimators. We demonstrate that under our assumption framework, and in the special case of deterministic…

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Maximization by parts in extremum estimation

极值估计中的分部极大化

In this paper, we present various iterative algorithms for extremum estimation in cases where direct computation of the extremum estimator or via the Newton–Raphson algorithm is difficult, if not impossible. While the Newton–Raphson algorithm makes use of the full Hessian matrix, which may be difficult to evaluate, our algorithms use parts of the Hessian matrix only, the parts that are easier to compute. We establish consistency and asymptotic efficiency of our iterative…

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Testing for structural change under non‐stationary variances

非平稳方差下的结构变化检验

Non‐stationarity of the volatility process reflects low‐frequency volatility changes of an economic time series, and its theoretical and empirical relevance has been widely recognized. We investigate how it affects cumulative sum (CUSUM) related tests for structural change in regression coefficients. Non‐stationary variances generally invalidate standard structural change tests by introducing an infinite‐dimensional nuisance parameter in the limit distribution, and we…

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Non‐standard rates of convergence of criterion‐function‐based set estimators for binary response models

二元响应模型中基于准则函数的集合估计量的非标准收敛速度

This paper establishes consistency and non‐standard rates of convergence for set estimators based on contour sets of criterion functions for a semi‐parametric binary response model under a conditional median restriction. The model can be partially identified due to potentially limited‐support regressors and an unknown distribution of errors. A set estimator analogous to the maximum score estimator is essentially cube‐root consistent for the identified set when a continuous…

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Economic theory and forecasting: lessons from the literature

经济理论与预测:来自文献的经验

Does economic theory help in forecasting key macroeconomic variables? This article aims to provide some insight into the question by drawing lessons from the literature. The definition of ‘economic theory’ includes a broad range of examples, such as accounting identities, disaggregation and spatial restrictions when forecasting aggregate variables, cointegration and forecasting with dynamic stochastic general equilibrium (DSGE) models. We group the lessons into three themes.…

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