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Weighted-average quantile regression

加权平均分位数回归

In this paper, we introduce the weighted-average quantile regression model. We argue that this model is of interest in many applied settings and develop an estimator for parameters of this model. We show that our estimator is T-consistent and asymptotically normal under weak conditions, where T is the sample size. We demonstrate the usefulness of our estimator in two empirical settings. First, we study the factor structures of the expected shortfalls of the industry…

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Causal inference in network experiments: Regression-based analysis and design-based properties

网络实验中的因果推断:回归分析与基于设计的性质

Network experiments are powerful tools for studying spillover effects, which avoid endogeneity by randomly assigning treatments to units over networks. However, it is non-trivial to analyze network experiments properly without imposing strong modeling assumptions. We show that regression-based point estimators and standard errors can have strong theoretical guarantees if the regression functions and robust standard errors are carefully specified to accommodate the…

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Robust mutual fund selection with false discovery rate control

控制错误发现率的稳健共同基金筛选

In this article, we address the challenge of identifying well-performing mutual funds among a large pool of candidates, utilizing the linear factor pricing model. Assuming observable factors with a weak correlation structure for the idiosyncratic error, we propose a spatial-sign based multiple testing procedure (SS-BH). When latent factors are present, we first extract them using the elliptical principle component method (He et al. 2022) and then propose a factor-adjusted…

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Addressing endogeneity issues in a spatial autoregressive model using copulas

利用 Copula 处理空间自回归模型中的内生性

This paper develops a novel, instrument-free semiparametric copula framework for a spatial autoregressive (SAR) model to address endogeneity arising from an endogenous spatial weights matrix, endogenous regressors, or both. Moving beyond conventional Gaussian copulas, we develop a flexible estimator based on the Student’s t copula with an unknown degrees-of-freedom (df) parameter, which nests the Gaussian case and allows the data to determine the presence of tail dependence.…

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Making distributionally robust portfolios feasible in high dimension

使高维分布稳健投资组合问题可行

Robust estimation for modern portfolio selection on a large set of assets becomes more important due to the large deviation of empirical inference on big data. We propose a distributionally robust methodology for high-dimensional mean–variance portfolio problems, aiming to select an optimal conservative portfolio allocation by considering distributional uncertainty. With the help of factor structure, we extend the distributionally robust mean–variance problem investigated by…

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Shrinkage methods for treatment choice

处理选择中的收缩方法

This study examines the problem of determining whether to treat individuals based on observed covariates. The most common decision rule is the conditional empirical success (CES) rule proposed by Manski (2004), which assigns individuals to treatments that yield the best experimental outcomes conditional on the observed covariates. Conversely, using shrinkage estimators, which shrink unbiased but noisy preliminary estimates toward the average of these estimates, is a common…

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GMM estimation with Brownian kernels applied to income inequality measurement

布朗核 GMM 估计及其收入不平等测度应用

In GMM estimation, it is well known that if the moment dimension grows with the sample size, the asymptotics of GMM differ from the standard finite dimensional case. The present work examines the asymptotic properties of infinite dimensional GMM estimation when the weight matrix is formed by inverting Brownian motion or Brownian bridge covariance kernels. These kernels arise in econometric work such as minimum Cramér–von Mises distance estimation when testing distributional…

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Weighted residual empirical processes, martingale transformations, and model specification tests for regressions with diverging number of parameters

参数维度增长下的加权残差经验过程、鞅变换与回归设定检验

This paper explores hypothesis testing for the parametric forms of the mean and variance functions in regression models under diverging-dimension settings. To mitigate the curse of dimensionality, we introduce weighted residual empirical process-based tests, both with and without martingale transformations. The asymptotic properties of these tests are derived from the behavior of weighted residual empirical processes and their martingale transformations under the null and…

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Estimation of spatial autoregressive panel data models with nonparametric endogenous effect

含非参数内生效应的空间自回归面板模型估计

This paper proposes a sieve generalized method of moments (GMM) method for the estimation of spatial autoregressive panel data models with nonparametric endogenous effect. The new estimator incorporates both linear moments based on the orthogonality of the exogenous regressors with the model disturbances and quadratic moments based on the properties of idiosyncratic errors. We establish the consistency and asymptotic normality of the sieve GMM estimator and show that it is…

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Risk premia from the cross-section of individual assets

从个体资产横截面估计风险溢价

We propose the continuous updating estimator (CUE) for estimating ex-post risk premia from large cross-sections of individual asset returns over limited time periods. We analyze its properties while also allowing for an unknown number of unobserved factors. The CUE then provides an estimator of its, so-called, pseudo-true value, i . e . , the risk premia on the observed factors without assuming that they comprise all priced factors. We develop size-correct procedures for…

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Identification- and many moment-robust inference via invariant moment conditions

通过不变矩条件实现识别与多矩条件稳健推断

Identification-robust hypothesis tests are commonly based on the continuous updating GMM objective function. When the number of moment conditions grows proportionally with the sample size, the large-dimensional weighting matrix prohibits the use of conventional asymptotic approximations and the behavior of these tests remains unknown. We show that the structure of the weighting matrix opens up an alternative route to asymptotic results when, under the null hypothesis, the…

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Weak identification with bounds in a class of minimum distance models

一类最小距离模型中结合参数界限的弱识别推断

When parameters are weakly identified, bounds on the parameters may provide a valuable source of information. Existing weak identification estimation and inference results are unable to combine weak identification with bounds. Within a class of minimum distance models, this paper proposes identification-robust inference that incorporates information from bounds when parameters are weakly identified. This paper demonstrates the value of the bounds and identification-robust…

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Quantile graphical models: Prediction and conditional independence with applications to systemic risk

分位数图模型:预测、条件独立与系统性风险应用

We propose two types of Quantile Graphical Models: (i) Conditional Independence Quantile Graphical Models (CIQGMs) characterize the conditional independence by evaluating the distributional dependence structure at each quantile index, as such, those can be used for validation of the graph structure in the causal graphical models; (ii) Prediction Quantile Graphical Models (PQGMs) characterize the statistical dependencies through the graphs of the best linear predictors under…

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Cointegration with occasionally binding constraints

偶尔约束生效情形下的协整

In the literature on nonlinear cointegration, a long-standing open problem relates to how a (nonlinear) vector autoregression, which provides a unified description of the short- and long-run dynamics of a vector of time series, can generate ‘nonlinear cointegration’ in the profound sense of those series sharing common nonlinear stochastic trends. We consider this problem in the setting of the censored and kinked structural VAR (CKSVAR), which provides a flexible yet…

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Matrix-valued factor model with time-varying main effects

具有时变主效应的矩阵值因子模型

We introduce the matrix-valued time-varying Main Effects Factor Model (MEFM). MEFM is a generalization to the traditional matrix-valued factor model (FM). We give rigorous definitions of MEFM and its identifications, and propose estimators for the time-varying grand mean, row and column main effects, and the row and column factor loading matrices for the common component. Rates of convergence for different estimators are spelt out, with asymptotic normality shown. The core…

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Inference on model parameters with many L-moments

使用大量 L 矩的模型参数推断

This paper studies parameter estimation using L-moments, an alternative to traditional moments with attractive statistical properties. The estimation of model parameters by matching sample L-moments is known to outperform maximum likelihood estimation (MLE) in small samples from popular distributions. The choice of the number of L-moments used in estimation remains ad-hoc, though: researchers typically set the number of L-moments equal to the number of parameters, which is…

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Nonparametric regression under cluster sampling

聚类抽样下的非参数回归

This paper develops a general asymptotic theory for nonparametric kernel regression in the presence of cluster dependence. We examine nonparametric density estimation, Nadaraya–Watson kernel regression, and local linear estimation. Our theory accommodates growing and heterogeneous cluster sizes. We derive asymptotic conditional bias and variance, establish uniform consistency, and prove asymptotic normality. Our findings reveal that under heterogeneous cluster sizes, the…

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Structural periodic vector autoregressions

结构周期向量自回归

While seasonality inherent to raw macroeconomic data is commonly removed by seasonal adjustment techniques before it is used for structural inference, this may distort valuable information in the data. As an alternative method to commonly used structural vector autoregressions (SVARs) for seasonally adjusted data, we propose to model potential periodicity in seasonally unadjusted (raw) data directly by structural periodic vector autoregressions (SPVARs). This approach does…

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Misspecification-robust bootstrap t -test for irrelevant factor in linear stochastic discount factor models

线性随机贴现因子模型中无关因子的误设稳健自助 t 检验

This paper examines the applicability of the bootstrap approach to test for irrelevant risk factors that are potentially useless in misspecified linear stochastic discount factor (SDF) models. In the literature, the misspecification-robust inference with useless factors is known to give rise to nonstandard limiting distributions bounded stochastically to compute critical values. We show how and to what extent the wild bootstrap yields a more accurate approximation of the…

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On-line detection of changes in the shape of intraday volatility curves

日内波动率曲线形状变化的在线检测

We devise an on-line detector for temporal instability in the shape of average intraday volatility curves under a general semimartingale setup for the price-volatility dynamics. We adopt a block-based strategy to estimate volatility nonparametrically from the intraday observations over local time windows with asymptotically shrinking size. Our detector then tracks sequential changes in running means of the intraday volatility curve estimates. Asymptotic size and power…

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High dimensional factor analysis with weak factors

含弱因子的高维因子分析

This paper studies the principal components (PC) estimator for high dimensional approximate factor models with weak factors in that the factor loading ( Λ 0 ) scales sublinearly in the number N of cross-section units, i.e., Λ 0 ⊤ Λ 0 / N α is positive definite in the limit for some α ∈ ( 0 , 1 ) . While the consistency and asymptotic normality of these estimates are by now well known when the factors are strong, i.e., α = 1 , the statistical properties for weak factors…

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Increasing the power of moment-based tests

提高基于矩条件检验的功效

This paper shows how to increase the power of the Hansen (1982) test for the case where only a subset of the exclusion restrictions is used. The ‘ignored’ exclusion restrictions are used to derive a new estimator for the covariance matrix, which has a different probability limit than the usual one when the model is false. If the null hypothesis is true, then the proposed test has the same distribution as the existing ones in large samples. If the hypothesis is false, then…

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Measuring the effects of segregation in the presence of social spillovers: A nonparametric approach

社会溢出下隔离效应的非参数测量

In this paper we nonparametrically analyze the effects of reallocating individuals across social groups in the presence of social spillovers. Individuals are either 'high' or 'low' types. Own outcomes may vary with the fraction of high types in one's social group. We characterize the average outcome and inequality effects of small increases in segregation by type. We also provide a measure of average spillover strength. We generalize the setup used by Benabou (1996) and…

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Estimating high dimensional monotone index models by iterative convex optimization

通过迭代凸优化估计高维单调指标模型

In this paper we propose new approaches to estimating large dimensional monotone index models. This class of models has been popular in the applied and theoretical econometrics literatures as it includes discrete choice, nonparametric transformation, and duration models. A main advantage of our approach is computational. For instance, rank estimation procedures such as those proposed in [13] and [7] that optimize a nonsmooth, nonconvex objective function are difficult to use…

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