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The Conditional Permutation Test for Independence While Controlling for Confounders

控制混杂因素的条件独立性置换检验

Summary We propose a general new method, the conditional permutation test, for testing the conditional independence of variables X and Y given a potentially high dimensional random vector Z that may contain confounding factors. The test permutes entries of X non-uniformly, to respect the existing dependence between X and Z and thus to account for the presence of these confounders. Like the conditional randomization test of Candès and co-workers in 2018, our test relies on…

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Concentration and consistency results for canonical and curved exponential-family models of random graphs

典范与弯曲指数族随机图模型的集中性和一致性结果

Statistical inference for exponential-family models of random graphs with dependent edges is challenging. We stress the importance of additional structure and show that additional structure facilitates statistical inference. A simple example of a random graph with additional structure is a random graph with neighborhoods and local dependence within neighborhoods. We develop the first concentration and consistency results for maximum likelihood and $M$-estimators of a wide…

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Spectral and matrix factorization methods for consistent community detection in multi-layer networks

多层网络一致社区检测的谱方法与矩阵分解方法

We consider the problem of estimating a consensus community structure by combining information from multiple layers of a multi-layer network using methods based on the spectral clustering or a low-rank matrix factorization. As a general theme, these “intermediate fusion” methods involve obtaining a low column rank matrix by optimizing an objective function and then using the columns of the matrix for clustering. However, the theoretical properties of these methods remain…

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Optimal rates for community estimation in the weighted stochastic block model

加权随机区块模型中社群估计的最优速率

Community identification in a network is an important problem in fields such as social science, neuroscience and genetics. Over the past decade, stochastic block models (SBMs) have emerged as a popular statistical framework for this problem. However, SBMs have an important limitation in that they are suited only for networks with unweighted edges; in various scientific applications, disregarding the edge weights may result in a loss of valuable information. We study a…

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New $G$-formula for the sequential causal effect and blip effect of treatment in sequential causal inference

In sequential causal inference, two types of causal effects are of practical interest, namely, the causal effect of the treatment regime (called the sequential causal effect) and the blip effect of treatment on the potential outcome after the last treatment. The well-known $G$-formula expresses these causal effects in terms of the standard parameters. In this article, we obtain a new $G$-formula that expresses these causal effects in terms of the point observable effects of…

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Averages of unlabeled networks: Geometric characterization and asymptotic behavior

无标签网络的平均:几何刻画与渐近行为

It is becoming increasingly common to see large collections of network data objects, that is, data sets in which a network is viewed as a fundamental unit of observation. As a result, there is a pressing need to develop network-based analogues of even many of the most basic tools already standard for scalar and vector data. In this paper, our focus is on averages of unlabeled, undirected networks with edge weights. Specifically, we (i) characterize a certain notion of the…

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Rerandomization in $2^{K}$ factorial experiments

二水平多因子实验中的重随机化

With many pretreatment covariates and treatment factors, the classical factorial experiment often fails to balance covariates across multiple factorial effects simultaneously. Therefore, it is intuitive to restrict the randomization of the treatment factors to satisfy certain covariate balance criteria, possibly conforming to the tiers of factorial effects and covariates based on their relative importances. This is rerandomization in factorial experiments. We study the…

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Modelling regional patterns of inefficiency: A Bayesian approach to geoadditive panel stochastic frontier analysis with an application to cereal production in England and Wales

低效率区域模式建模:贝叶斯地理加性面板随机前沿方法

We propose a flexible Bayesian approach to inefficiency modelling that accounts for regional patterns of local performance. The model allows for a separated treatment of individual heterogeneity and determinants of inefficiency. Regional dependence structures and location-specific unobserved spatial heterogeneity are modelled via geoadditive predictors in the inefficiency term of the stochastic frontier model. Inference becomes feasible through Markov chain Monte Carlo…

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Panel threshold regressions with latent group structures

具有潜在分组结构的面板门槛回归

In this paper, we consider the least squares estimation of a panel structure threshold regression (PSTR) model where both the slope coefficients and threshold parameters may exhibit latent group structures. We study the asymptotic properties of the estimators of the latent group structure and the slope and threshold coefficients. We show that we can estimate the latent group structure correctly with probability approaching 1 and the estimators of the slope and threshold…

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Stimulating Housing Markets

刺激住房市场

ABSTRACT We study temporary fiscal stimulus designed to support distressed housing markets by inducing demand from buyers in the private market. Using difference‐in‐differences and regression kink research designs, we find that the First‐Time Homebuyer Credit increased home sales by 490,000 (9.8%), median home prices by $2,400 (1.1%) per standard deviation increase in program exposure, and the transition rate into homeownership by 53%. The policy response did not reverse…

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SEMIPARAMETRIC ESTIMATION OF CENSORED SPATIAL AUTOREGRESSIVE MODELS

删失空间自回归模型的半参数估计

This study considers the estimation of spatial autoregressive models with censored dependent variables, where the spatial autocorrelation exists within the uncensored latent dependent variables. The estimator proposed in this paper is semiparametric, in the sense that the error distribution is not parametrically specified and can be heteroskedastic. Under a median restriction, we show that the proposed estimator is consistent and asymptotically normally distributed. As an…

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Consistency for the tree bootstrap in respondent-driven sampling

受访者驱动抽样中树形自助法的一致性

Summary Respondent-driven sampling is an approach for estimating features of populations that are difficult to access using standard survey tools, e.g., the fraction of injection drug users who are HIV positive. Baraff et al. (2016) introduced an approach to estimating uncertainty in population proportion estimates from respondent-driven sampling using the tree bootstrap method. In this paper we establish the consistency of this tree bootstrap approach in the case of $m$-tree…

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Big Data in Omics and Imaging: Integrated Analysis and Causal Inference.

组学与成像大数据:整合分析与因果推断

Despite our expanding knowledge, we are still very ignorant about many parts of the function and functioning of the human brain and the genes. The challenges and ignorance are equally large for sta...

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Quantile Function on Scalar Regression Analysis for Distributional Data

分布型数据的分位数函数对标量回归分析

Radiomics involves the study of tumor images to identify quantitative markers explaining cancer heterogeneity. The predominant approach is to extract hundreds to thousands of image features, including histogram features comprised of summaries of the marginal distribution of pixel intensities, which leads to multiple testing problems and can miss out on insights not contained in the selected features. In this paper, we present methods to model the entire marginal distribution…

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Generic Inference on Quantile and Quantile Effect Functions for Discrete Outcomes

离散结果的分位数函数与分位数效应函数的一般推断

Quantile and quantile effect functions are important tools for descriptive and causal analyses due to their natural and intuitive interpretation. Existing inference methods for these functions do not apply to discrete random variables. This paper offers a simple, practical construction of simultaneous confidence bands for quantile and quantile effect functions of possibly discrete random variables. It is based on a natural transformation of simultaneous confidence bands for…

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Demand Models With Random Partitions

具有随机分组的需求模型

Many economic models of consumer demand require researchers to partition sets of products or attributes prior to the analysis. These models are common in applied problems when the product space is large or spans multiple categories. While the partition is traditionally fixed a priori, we let the partition be a model parameter and propose a Bayesian method for inference. The challenge is that demand systems are commonly multivariate models that are not conditionally conjugate…

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Sensitivity Analysis for Unmeasured Confounding in Meta-Analyses

元分析中未测量混杂的敏感性分析

Random-effects meta-analyses of observational studies can produce biased estimates if the synthesized studies are subject to unmeasured confounding. We propose sensitivity analyses quantifying the extent to which unmeasured confounding of specified magnitude could reduce to below a certain threshold the proportion of true effect sizes that are scientifically meaningful. We also develop converse methods to estimate the strength of confounding capable of reducing the…

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Estimation of the Boundary of a Variable Observed With Symmetric Error

对称误差下潜在变量边界的估计

Consider the model Y=X+ε with X=τ+Z, where τ is an unknown constant (the boundary of X), Z is a random variable defined on R+, ε is a symmetric error, and ε and Z are independent. Based on an iid sample of Y, we aim at identifying and estimating the boundary τ when the law of ε is unknown (apart from symmetry) and in particular its variance is unknown. We propose an estimation procedure based on a minimal distance approach and by making use of Laguerre polynomials.…

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Debiased Inference on Treatment Effect in a High-Dimensional Model

高维模型中处理效应的去偏推断

This article concerns the potential bias in statistical inference on treatment effects when a large number of covariates are present in a linear or partially linear model. While the estimation bias in an under-fitted model is well understood, we address a lesser-known bias that arises from an over-fitted model. The over-fitting bias can be eliminated through data splitting at the cost of statistical efficiency, and we show that smoothing over random data splits can be…

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Matched Learning for Optimizing Individualized Treatment Strategies Using Electronic Health Records

利用电子健康记录优化个体化治疗策略的匹配学习

Current guidelines for treatment decision making largely rely on data from randomized controlled trials (RCTs) studying average treatment effects. They may be inadequate to make individualized treatment decisions in real-world settings. Large-scale electronic health records (EHR) provide opportunities to fulfill the goals of personalized medicine and learn individualized treatment rules (ITRs) depending on patient-specific characteristics from real-world patient data. In…

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Variational Inference for Stochastic Block Models From Sampled Data

抽样网络数据下随机块模型的变分推断

This article deals with nonobserved dyads during the sampling of a network and consecutive issues in the inference of the stochastic block model (SBM). We review sampling designs and recover missing at random (MAR) and not missing at random (NMAR) conditions for the SBM. We introduce variants of the variational EM algorithm for inferring the SBM under various sampling designs (MAR and NMAR) all available as an R package. Model selection criteria based on integrated…

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Quantile Co-Movement in Financial Markets: A Panel Quantile Model With Unobserved Heterogeneity

金融市场的分位数共同变动:含不可观测异质性的面板分位数模型

This article introduces a new procedure for analyzing the quantile co-movement of a large number of financial time series based on a large-scale panel data model with factor structures. The proposed method attempts to capture the unobservable heterogeneity of each of the financial time series based on sensitivity to explanatory variables and to the unobservable factor structure. In our model, the dimension of the common factor structure varies across quantiles, and the…

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Estimation of Heterogeneous Individual Treatment Effects With Endogenous Treatments

内生处理下异质性个体处理效应的估计

This article estimates individual treatment effects (ITE) and its probability distribution in a triangular model with binary-valued endogenous treatments. Our estimation procedure takes two steps. First, we estimate the counterfactual outcome and hence, the ITE for every observational unit in the sample. Second, we estimate the ITE density function of the whole population. Our estimation method does not suffer from the ill-posed inverse problem associated with inverting a…

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Inference in Approximately Sparse Correlated Random Effects Probit Models With Panel Data

近似稀疏相关随机效应面板Probit模型的统计推断

We propose a simple procedure based on an existing “debiased” l1-regularized method for inference of the average partial effects (APEs) in approximately sparse probit and fractional probit models with panel data, where the number of time periods is fixed and small relative to the number of cross-sectional observations. Our method is computationally simple and does not suffer from the incidental parameters problems that come from attempting to estimate as a parameter the…

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