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A Weighted Edge-Count Two-Sample Test for Multivariate and Object Data

多元与对象数据的加权边计数两样本检验

Two-sample tests for multivariate data and non-Euclidean data are widely used in many fields. Parametric tests are mostly restrained to certain types of data that meets the assumptions of the parametric models. In this article, we study a nonparametric testing procedure that uses graphs representing the similarity among observations. It can be applied to any data types as long as an informative similarity measure on the sample space can be defined. The classic test based on…

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Eliciting Subjective Survival Curves: Lessons from Partial Identification

主观生存曲线的获取:部分识别的启示

When analyzing data on subjective expectations of continuous outcomes, researchers have access to a limited number of reported probabilities for each respondent from which to construct complete distribution functions. Moreover, reported probabilities may be rounded and thus not equal to true beliefs. Using survival expectations elicited from a representative sample from the Netherlands, we investigate what can be learned if we take these two sources of missing information…

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Asymptotic Inference for Performance Fees and the Predictability of Asset Returns

业绩费与资产收益可预测性的渐近推断

In this article, we provide analytical, simulation, and empirical evidence on a test of equal economic value from competing predictive models of asset returns. We define economic value using the concept of a performance fee—the amount an investor would be willing to pay to have access to an alternative predictive model used to make investment decisions. We establish that this fee can be asymptotically normal under modest assumptions. Monte Carlo evidence shows that our test…

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Practical Kolmogorov–Smirnov Testing by Minimum Distance Applied to Measure Top Income Shares in Korea

基于最小距离的实用 Kolmogorov–Smirnov 检验:韩国顶端收入份额的应用

We study Kolmogorov–Smirnov goodness-of-fit tests for evaluating distributional hypotheses where unknown parameters need to be fitted. Following the work of Pollard (1980), our approach uses a Cramér–von Mises minimum distance estimator for parameter estimation. The asymptotic null distribution of the resulting test statistic is represented by invariance principle arguments as a functional of a Brownian bridge in a simple regression format for which asymptotic critical…

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On Estimation of Hurst Parameter Under Noisy Observations

含噪观测下 Hurst 参数的估计

It is widely accepted that some financial data exhibit long memory or long dependence, and that the observed data usually possess noise. In the continuous time situation, the factional Brownian motion BH and its extension are an important class of models to characterize the long memory or short memory of data, and Hurst parameter H is an index to describe the degree of dependence. In this article, we estimate the Hurst parameter of a discretely sampled fractional integral…

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A Unified Approach to Estimating and Testing Income Distributions With Grouped Data

分组数据下收入分布估计与检验的统一方法

We propose a unified approach that is flexibly applicable to various types of grouped data for estimating and testing parametric income distributions. To simplify the use of our approach, we also provide a parametric bootstrap method and show its asymptotic validity. We also compare this approach with existing methods for grouped income data, and assess their finite-sample performance by a Monte Carlo simulation. For empirical demonstrations, we apply our approach to…

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A Consistent Variance Estimator for 2SLS When Instruments Identify Different LATEs

工具变量识别不同局部平均处理效应时的 2SLS 一致方差估计量

Under treatment effect heterogeneity, an instrument identifies the instrument-specific local average treatment effect (LATE). With multiple instruments, two-stage least squares (2SLS) estimand is a weighted average of different LATEs. What is often overlooked in the literature is that the postulated moment condition evaluated at the 2SLS estimand does not hold unless those LATEs are the same. If so, the conventional heteroscedasticity-robust variance estimator would be…

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Unit Root Inference in Generally Trending and Cross-Correlated Fixed- T Panels

一般趋势与横截面相关的固定 T 面板单位根推断

This article proposes a new panel unit root test based on the generalized method of moments approach for panels with a possibly small number of time periods, T, and a large number of cross-sectional units, N. In the model that we consider the deterministic trend function is essentially unrestricted and the errors obey a multifactor structure that allows for rich forms of unobserved heterogeneity. In spite of these allowances, the GMM estimator considered is shown to be…

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Approximate Permutation Tests and Induced Order Statistics in the Regression Discontinuity Design

断点回归中的近似置换检验与诱导次序统计量

In the regression discontinuity design (RDD), it is common practice to assess the credibility of the design by testing whether the means of baseline covariates do not change at the cut-off (or threshold) of the running variable. This practice is partly motivated by the stronger implication derived by Lee (2008), who showed that under certain conditions the distribution of baseline covariates in the RDD must be continuous at the cut-off. We propose a permutation test based on…

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Penalized indirect inference

惩罚化间接推断

Parameter estimates of structural economic models are often difficult to interpret at the light of the underlying economic theory. Bayesian methods have become increasingly popular as a tool for conducting inference on structural models since priors offer a way to exert control over the estimation results. Similarly to Bayesian estimation, this paper proposes a penalized indirect inference estimator that allows researchers to obtain economically meaningful parameter…

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The asymptotic properties of GMM and indirect inference under second-order identification

二阶识别下 GMM 与间接推断的渐近性质

This paper presents a limiting distribution theory for GMM and Indirect Inference estimators when local identification conditions fail at first-order but hold at second-order. These limit distributions are shown to be non-standard, but we show that they can be easily simulated, making it possible to perform inference about the parameters in this setting. We illustrate our results in the context of a dynamic panel data model in which the parameter of interest is identified…

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Generalized indirect inference for discrete choice models

离散选择模型的广义间接推断

This paper develops and implements a practical simulation-based method for estimating dynamic discrete choice models. The method, which can accommodate lagged dependent variables, serially correlated errors, unobserved variables, and many alternatives, builds on the ideas of indirect inference. The main difficulty in implementing indirect inference in discrete choice models is that the objective surface is a step function, rendering gradient-based optimization methods…

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A spectral EM algorithm for dynamic factor models

动态因子模型的谱域 EM 算法

We make two complementary contributions to efficiently estimate dynamic factor models: a frequency domain EM algorithm and a swift iterated indirect inference procedure for ARMA models with no asymptotic efficiency loss for any finite number of iterations. Although our procedures can estimate such models with many series without good initial values, near the optimum we recommend switching to a gradient method that analytically computes spectral scores using the EM principle.…

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Misspecification of noncausal order in autoregressive processes

自回归过程中的非因果阶数误设

This paper examines noncausal order misspecification in noncausal and mixed processes. We consider the constrained maximum likelihood (ML) estimators of autoregressive parameters obtained when noncausal order s is fixed and potentially different from the true order s0. The effect of such noncausal order misspecification on the constrained ML estimators of the autoregressive parameters is examined by means of the binding function. We find that, surprisingly, the misspecified…

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A two-step indirect inference approach to estimate the long-run risk asset pricing model

长期风险资产定价模型的两步间接推断估计

The long-run consumption risk model provides a theoretically appealing explanation for prominent asset pricing puzzles, but its intricate structure presents a challenge for econometric analysis. This paper proposes a two-step indirect inference approach that disentangles the estimation of the model’s macro-economic dynamics and the investor’s preference parameters. A Monte Carlo study explores the feasibility and efficiency of the estimation strategy. We apply the method to…

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Estimating stable latent factor models by indirect inference

稳定分布潜在因子模型的间接推断估计

Cross-sections of financial returns are characterized by common underlying factors and exhibit fat tails that may be captured by α-stable distributions. This paper focuses on estimating factor models with independent latent factors and idiosyncratic noises featuring a multivariate α-stable distribution constant over time (static factor models) or a time-varying conditional multivariate α-stable distribution (GARCH factor models). Although the simulation of such a…

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Indirect Inference with endogenously missing exogenous variables

外生变量内生性随机缺失下的间接推断

We consider consistent estimation of parameters in a structural model by Indirect Inference (II) when the exogenous variables can be missing at random (MAR) endogenously. We demonstrate that II procedures that simply discard sample units with missing observations can yield inconsistent estimates of the true structural parameters. By inverse probability weighting (IPW) the “complete case” observations, i.e., sample units with no missing variables for the observed and…

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New distribution theory for the estimation of structural break point in mean

均值结构断点估计的新分布理论

Based on the Girsanov theorem, this paper obtains the exact distribution of the maximum likelihood estimator of structural break point in a continuous time model. The exact distribution is asymmetric and tri-modal, indicating that the estimator is biased. These two properties are also found in the finite sample distribution of the least squares (LS) estimator of structural break point in the discrete time model, suggesting the classical long-span asymptotic theory is…

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Issue of the Annals of Econometrics on Indirect Estimation Methods in Finance and Economics

《计量经济学年鉴》金融与经济间接估计方法专刊导言

Introduction \nThis special issue is the outcome of the small and high-powered conference on Indirect Estimation Methods in Finance and Economics. The conference took place at Abbey Hegne in Allensbach (Lake Constance, Germany) on May 2014. It commemorated the 20th anniversary of the seminal papers on Indirect inference of Gourieroux et al. (1993), Simulated quasi-maximum likelihood of Smith Jr. (1993) and the Efficient methods of moments of Gallant and Tauchen (1996).

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Exact Bayesian moment based inference for the distribution of the small-time movements of an Itô semimartingale

Itô半鞅短时变动分布的精确贝叶斯矩推断

We modify the Gallant and Tauchen (1996) efficient method of moments (EMM) method to perform exact Bayesian inference, where exact means no reliance on asymptotic approximations. We use this modification to evaluate the empirical plausibility of recent predictions from high frequency financial theory regarding the small-time movements of an Itô semimartingale. The theory indicates that the probability distribution of the small moves should be locally stable around the…

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Measuring the Graph Concordance of Locally Dependent Observations

局部依赖观测的图一致性度量

This paper introduces a simple measure of a concordance pattern among observed outcomes along a network, that is, the pattern in which adjacent outcomes tend to be more strongly correlated than nonadjacent outcomes. The graph concordance measure can be generally used to quantify the empirical relevance of a network in explaining cross-sectional dependence of the outcomes, and as shown in the paper, it can also be used to quantify the extent of homophily under certain…

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Semiparametric regression analysis for composite endpoints subject to componentwise censoring

分量分别删失的复合终点半参数回归分析

Composite endpoints with censored data are commonly used as study outcomes in clinical trials. For example, progression-free survival is a widely used composite endpoint, with disease progression and death as the two components. Progression-free survival time is often defined as the time from randomization to the earlier occurrence of disease progression or death from any cause. The censoring times of the two components could be different for patients not experiencing the…

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‘Asymptotic properties of penalized spline estimators’

《惩罚样条估计量的渐近性质》勘误

Biometrika (2009) 96, pp. 529–44. In Lemmas A1 and A2, Theorem 2, and the line before equation (17), |$K_q\ge 1$| should be replaced by |$K_q\in[1,\infty)$|⁠, since |$K_q$| needs to be bounded. In Assumption 1, |$\delta=o(K^{-1})$| should read |$\max_{1\le j\le K}|\kappa_{j+1}-2\kappa_j+\kappa_{j-1}|=o(K^{-1})$|⁠. At the typesetting stage an error occurred while adding parentheses; throughout the paper it should be |$n^{1/(2q)-1}\lambda^{-1/(2q)}$| instead of |$n^{1/(2q-1)}\lambda^{-1/(2q)}$…

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Design-based maps for continuous spatial populations

连续空间总体的基于抽样设计制图

We analyse the estimation of values of a survey variable throughout a continuum of points in a study area when a sample of points is selected by a probabilistic sampling scheme. At each point, the value is estimated using an inverse distance weighting interpolator, and maps of the survey variable can be obtained. We investigate the design-based asymptotic properties of the interpolator when the study area remains fixed and the number of sampled points approaches infinity,…

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