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Dynamic CoVaR Modeling and Estimation

动态 CoVaR 建模与估计

The popular systemic risk measure CoVaR (conditional Value-at-Risk) and its variants are widely used in economics and finance. In this article, we propose joint dynamic forecasting models for the Value-at-Risk (VaR) and CoVaR. The CoVaR version we consider is defined as a large quantile of one variable (e.g., losses in the financial system) conditional on some other variable (e.g., losses in a bank’s shares) being in distress. We introduce a two-step M-estimator for the…

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Change-Point Detection in Time Series Using Mixed Integer Programming

利用混合整数规划检测时间序列变点

We use cutting-edge mixed integer optimization (MIO) methods to develop a framework for detection and estimation of structural breaks in time series regression models. The framework is constructed based on the least squares problem subject to a penalty on the number of breakpoints. We restate the l0-penalized regression problem as a quadratic programming problem with integer- and real-valued arguments and show that MIO is capable of finding provably optimal solutions using a…

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Smoothing Variances Across Time: Adaptive Stochastic Volatility

跨时间平滑方差:自适应随机波动率

We introduce a novel Bayesian framework for estimating time-varying volatility by extending the Random Walk Stochastic Volatility (RWSV) model with Dynamic Shrinkage Processes (DSP) in log-variances. Unlike the classical Stochastic Volatility (SV) or GARCH-type models with restrictive parametric stationarity assumptions, our proposed Adaptive Stochastic Volatility (ASV) model provides smooth yet dynamically adaptive estimates of evolving volatility and its uncertainty. We…

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Disentangling Structural Breaks in Factor Models for Macroeconomic Data

区分宏观数据因子模型中的结构断点

We develop a projection-based decomposition to disentangle structural breaks in the factor variance and factor loadings. Our approach yields test statistics that can be compared against standard distributions commonly used in the structural break literature. Because standard methods for estimating factor models in macroeconomics normalize the factor variance, they do not distinguish between breaks of the factor variance and factor loadings. Applying our procedure to U.S.…

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From Penalization to Over-Parameterization: Achieving Implicit Regularization for High-Dimensional Linear Errors-in-Variables Models

从惩罚到过参数化:高维线性变量误差模型的隐式正则化

Regularization methods are crucial for the analysis of high-dimensional data, with most methods adding a penalty term to the loss function explicitly. In this paper, we introduce an implicit regularization technique through over-parameterization and propose a calibrated penalty-free (CPF) estimation method for high-dimensional linear errors-in-variables models. This method calibrates the bias caused by measurement errors while avoiding the bias introduced by penalty terms.…

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A New Estimator for Conditional Expectile-Based Value-at-Risk of a Linear Predictive Regression

线性预测回归中条件期望分位数型风险价值的新估计量

Since it is the only elicitable law-invariant coherent risk measure, the expectile-based value-at-risk (EVaR) is a recently recommended risk measure in financial risk management. This paper considers the large sample statistical inference problem of conditional EVaR under a linear predictive regression model. Based on the least-squares residuals, we propose a novel least-squares residual estimator for the conditional EVaR of a linear predictive regression. The asymptotic…

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Generalized robust adaptive-bandwidth MultiView manifold learning in high dimensions with noise

高维噪声下的广义稳健自适应带宽多视图流形学习

Multiview datasets are common in scientific and engineering applications, yet existing fusion methods offer limited theoretical guarantees, particularly in the presence of heterogeneous and high-dimensional noise. We propose Generalized Robust Adaptive-Bandwidth Multiview Diffusion Maps (GRAB-MDM), a new kernel-based diffusion geometry framework for integrating multiple noisy data sources. The key innovation of GRAB-MDM is a view-dependent bandwidth selection strategy that…

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Principled analysis of crossover designs: Causal effects, efficient estimation and robust inference

交叉设计的因果效应、有效估计与稳健推断

Crossover designs randomly assign each unit to receive a sequence of treatments. By comparing outcomes within the same unit, these designs can effectively eliminate between-unit variation and facilitate the identification of both instantaneous effects of current treatments and carryover effects from past treatments. They are widely used in traditional biomedical studies and are increasingly adopted in modern digital platforms. However, standard analyses of crossover designs…

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Power properties of the two sample test based on the nearest neighbors graph

基于最近邻图的两样本检验的功效性质

In this paper, we study the problem of testing the equality of two multivariate distributions. One class of tests used for this purpose utilizes geometric graphs constructed using interpoint distances. So far, the asymptotic theory of these tests applies only to graphs, which fall under the stabilizing graphs framework of Penrose and Yukich (Ann. Appl. Probab. 13 (2003) 277–303). We study the case of the K-nearest neighbors graph where K=kN increases with the sample size,…

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Alignment and matching tests for high-dimensional tensor signals via tensor contraction

基于张量收缩的高维张量信号对齐与匹配检验

We consider two hypothesis testing problems for low-rank and high-dimensional tensor signals, namely the tensor signal alignment and tensor signal matching problems. These problems are challenging due to the high dimension of tensors and the lack of suitable test statistics. By exploiting a recent tensor contraction method, we propose and validate relevant test statistics using eigenvalues of a data matrix resulting from the tensor contraction. The matrix entries exhibit…

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SIMPLE-RC: Group network inference with NonSharp nulls and weak signals

SIMPLE-RC:非尖锐原假设与弱信号下的群组网络推断

Large-scale network inference with uncertainty quantification has important applications in natural, social and medical sciences. The recent work of Fan et al. (J. R. Stat. Soc. Ser. B. Stat. Methodol. 84 (2022) 630–653) introduced a general framework of statistical inference on membership profiles in large networks (SIMPLE) for testing the sharp null hypothesis that a pair of given nodes share the same membership profile. In real applications, there are often groups of…

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Consistent Bayesian spatial domain partitioning using predictive spanning tree methods

基于预测生成树方法的贝叶斯空间区域划分一致估计

Bayesian model-based spatial clustering methods are widely used for their flexibility in estimating latent clusters with an unknown number of clusters while accounting for spatial proximity. Many existing methods are designed for clustering finite spatial units, limiting their ability to make predictions or may impose restrictive geometric constraints on the shapes of subregions. Furthermore, the posterior clustering consistency theory of spatial clustering models remains…

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Data assimilation with the 2D Navier–Stokes equations: Optimal Gaussian asymptotics for the posterior measure

二维 Navier–Stokes 方程的数据同化:后验测度的最优高斯渐近性质

A functional Bernstein–von Mises theorem is proved for posterior measures arising in a data assimilation problem with the two-dimensional Navier–Stokes equation where a Gaussian process prior is assigned to the initial condition of the system. The posterior measure, which provides the update in the space of all trajectories arising from a discrete sample of the (deterministic) dynamics, is shown to be approximated by a Gaussian random vector field obtained as the solution to…

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No-regret generative modeling via parabolic Monge–Ampère PDE

基于抛物型Monge–Ampère偏微分方程的无遗憾生成建模

We introduce a novel generative modeling framework based on a discretized parabolic Monge–Ampère PDE, which emerges as a continuous limit of the Sinkhorn algorithm commonly used in optimal transport. Our method performs iterative refinement in the space of Brenier maps using a mirror gradient descent step. We establish theoretical guarantees for generative modeling through the lens of no-regret analysis, demonstrating that the iterates converge to the optimal Brenier map…

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Inferring diffusivity from killed diffusion

从杀死扩散过程推断扩散率

We consider diffusion of independent molecules in an insulated Euclidean domain with unknown diffusivity parameter. At a random time and position, the molecules may bind and stop diffusing in dependence of a given “binding potential.” The binding process can be modeled by an additive random functional corresponding to the canonical construction of a “killed” diffusion Markov process. We study the problem of conducting inference on the infinite-dimensional diffusion parameter…

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Learning in the Limit: Income Inference from Credit Extensions

从额度中学习:消费者如何从信贷扩张推断收入

ABSTRACT Combining a randomized controlled trial with administrative and survey data, this paper shows that credit limit extensions significantly increase total spending and income expectations. By controlling for changes in personal income expectations, the spending response to credit limit extensions weakens by approximately 30%. For financially unconstrained consumers, expectation changes account for around two‐thirds of the spending responses to limit extensions. These…

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Optimal estimators and tests for reciprocal effects

有向网络互惠效应的最优估计与检验

The $p_1$ model plays a fundamental role in modeling directed networks, where the reciprocal effect parameter $ρ$ is of special interest in practice. However, due to nonlinear factors in this model, how to estimate $ρ$ efficiently is a long-standing open problem. We tackle the problem by the cycle count approach. The challenge is, due to the nonlinear factors in the model, for any given type of generalized cycles, the expected count is a complicated function of many…

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A Neyman-Orthogonalization Approach to the Incidental Parameter Problem in Likelihood Models

似然模型中附带参数问题的 Neyman 正交化方法

A popular approach to perform inference on a target parameter in the presence of nuisance parameters is to construct estimating equations that are orthogonal to the nuisance parameters, in the sense that their expected first derivative is zero. Such first-order orthogonalization allows the estimator of the nuisance parameters to converge at a slower-than-parametric rate. It may, however, not suffice when the nuisance parameters are very imprecisely estimated. Leading…

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An optimal transport-based generative model for Bayesian posterior sampling

基于最优传输的贝叶斯后验采样生成模型

Abstract We investigate the problem of sampling from posterior distributions with intractable normalizing constants in Bayesian inference. Building on transport map-based generative models for posterior sampling, we propose an optimal transport (OT)-constrained transport map class that learns a deterministic map from a reference distribution to the target posterior through constrained optimization. The proposed class exploits structural properties of OT maps and allows…

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Fast and Efficient Estimation of Macromodels with Large Shocks

大冲击宏观模型的快速高效估计

We propose a new approach for efficiently estimating and analyzing macroeconomic models subject to large shocks. We apply the methodology to a two-sector model that captures the heterogeneous exposure of different sectors to the COVID-19 pandemic. We solve the model nonlinearly and propose a new nonlinear, non-Gaussian filter designed to handle large shocks and identify their source and time location. Monte Carlo experiments show that the estimation and identification of…

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Comment on ‘Selection and Comparative Advantage in Technology Adoption’ by Suri (2011)

对 Suri (2011)《技术采纳中的选择与比较优势》的评论

This paper illustrates and addresses weak identification in the correlated random coefficient (CRC) model that Suri (2011) uses to study agricultural technology adoption. Using the publicly available dataset, which differs slightly from the version used in Suri (2011), we obtain different point estimates for the paper’s main CRC model. To understand why these differences are as large as they are, we recast the CRC model as a more general random coefficient model in which the…

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A Simple Measure of Robustness for External Validity under Covariate Shifts

协变量漂移下外部有效性的简单稳健性度量

This paper studies the robustness of estimated policy effects to changes in the distribution of covariates, a key determinant of the external validity of (quasi)experimental results. I propose a novel robustness metric δ ∗ which measures the smallest covariate shift needed to invalidate an empirical claim about the policy effect (e.g., AT E > 0). I estimate δ ∗ via de-biased GMM, achieving a parametric rate of convergence while accommodating machine-learning estimators of…

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An Exact t-Test

一个精确 t 检验

Multivariate linear regression and randomization-based inference are two essential methods in statistics and econometrics. Nevertheless, the problem of producing a randomized test for the value of a single regression coefficient that is exactly valid when errors are exchangeable, and which is asymptotically valid for the best linear predictor, has remained elusive. In this paper, we produce a test that is exactly valid with exchangeable errors and which allows for general…

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Information Based Inference in Models with Set-Valued Predictions and Misspecification

集合值预测与模型误设下的信息推断

This paper proposes an information-based inference method for partially identified parameters in incomplete models that is valid both when the model is correctly specified and when it is misspecified. Key features of the method are: (i) it is based on minimizing a suitably defined Kullback-Leibler information criterion that accounts for incompleteness of the model and delivers a non-empty pseudotrue set; (ii) it is computationally tractable; (iii) its implementation is the…

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