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Generalizing the Bayesian Vector Autoregression Approach for Regional Interindustry Employment Forecasting

推广用于区域行业间就业预测的贝叶斯向量自回归方法

The Bayesian vector autoregression (BVAR) employment-forecast approach is generalized using data for the state of Georgia. This study advances previous regional BVAR approaches by (1) incorporating regional input-output coefficients, (2) using the coefficients both to specify the prior means in one model and to weight the variances of a Minnesota-type prior in a second model, and (3) including final-demand effects and links to national and world economies. Out-of-sample…

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An EMS target zone model in discrete time

离散时间的欧洲货币体系目标区模型

The discrete time analogue of the continuous time Krugman target zone model is developed in order to capture the typical volatility clusters and fat-tailed distributed innovations of exchange rates. It is shown that under these more general stochastic conditions the S-shaped relation between exchange rate and fundamentals is preserved, but is less pronounced. The model is tested for its S-shape and stochastic properties. Two clearly distinct sets of EMS currencies are…

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Miscellanea. On the exact likelihood function of a multivariate autoregressive moving average model

多元自回归移动平均模型的精确似然函数

This paper derives the explicit expressions for the determinant and exact inverse of the covariance matrix of a multivariate autoregressive moving average model, and obtains the closed form of the exact likelihood function.

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The scan sampler for time series models

用于时间序列模型的扫描抽样器

An algorithm, called the scan sampler, is developed and discussed. The scan sampler has a variety of uses for time series analysis based on the state space model with non-Gaussian observations. The algorithm is based on the Kalman filter/smoothing algorithm. It can be used for Bayesian inference using Markov chain Monte Carlo and to find posterior modes.

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The exact likelihood of an autoregressive-moving average model with incomplete data

不完整数据下自回归移动平均模型的精确似然

A transformation is developed which allows computationally efficient evaluation of the exact likelihood of an autoregressive-moving average model with incomplete data. Timings are presented which indicate that the new method is preferable to the Kalman filter in many instances. Extensions to nonstationary and vector models are discussed.

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Miscellanea. A simple span selector for periodogram smoothing

杂记:周期图平滑的简易窗口宽度选择器

One approach to estimating the spectral density of a stationary time series is to smooth the periodogram and one important component of this approach is the choice of the span for smoothing. This note proposes a new span selector which is based on unbiased risk estimation. The proposed span selector is simple, and does not impose strong conditions on the unknown spectrum. For example, it does not require the unknown spectrum to possess a second derivative, which is a typical…

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Bandwidth selection for kernel regression with long-range dependent errors

长程相关误差下核回归的带宽选择

We investigate the effect of long-range dependence on bandwidth selection for kernel regression with the plug-in method of Herrmann, Gasser & Kneip (1992). A new bandwidth estimator is proposed to allow for long-range dependence. Properties of the proposed estimator are investigated theoretically and via simulation. We find that the proposed estimator performs well in terms of integrated squared error of the estimated trend, allowing us to incorporate both deterministic…

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Multiple-comparison procedures for steady-state simulations

稳态模拟中的多重比较程序

Suppose that there are $k \geq 2$ different systems (i.e., stochastic processes), where each system has an unknown steady-state mean performance and unknown asymptotic variance. We allow for the asymptotic variances to be unequal and for the distributions of the k systems to be different. We consider the problem of running independent, single-stage simulations to make multiple comparisons of the steady-state means of the different systems. We derive asymptotically valid (as…

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Estimation and Prediction for a Class of Dynamic Nonlinear Statistical Models

一类动态非线性统计模型的估计与预测

A class of nonlinear state-space models, characterized by a single source of randomness, is introduced. A special case, the model underpinning the multiplicative Holt-Winters method of forecasting, is identified. Maximum likelihood estimation based on exponential smoothing instead of a Kalman filter, and with the potential to be applied in contexts involving non-Gaussian disturbances, is considered. A method for computing prediction intervals is proposed and evaluated on…

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A Bayesian Approach to Nonparametric Bivariate Regression

非参数二元回归的贝叶斯方法

This article outlines a general Bayesian approach to estimating a bivariate regression function in a nonparametric manner. It models the function using a bivariate regression spline basis with many terms. Binary indicator variables corresponding to these terms are introduced to explicitly model the uncertainty of whether or not the terms provide a significant contribution to the regression. The regression function is estimated using an estimate of its posterior mean,…

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Exact Initial Kalman Filtering and Smoothing for Nonstationary Time Series Models

非平稳时间序列模型的精确初始Kalman滤波与平滑

This article presents a new exact solution for the initialization of the Kalman filter for state space models with diffuse initial conditions. For example, the regression model with stochastic trend, seasonal and other nonstationary autoregressive integrated moving average components requires a (partially) diffuse initial state vector. The proposed analytical solution is easy to implement and computationally efficient. The exact solution for smoothing is also given. Missing…

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A Nonparametric Method for Benchmarking Survey Data via Signal Extraction

通过信号提取对调查数据进行基准校准的非参数方法

This article introduces a nonparametric method to estimate the covariance matrix for the stationary part of the signal (hidden in data), to enable benchmarking via signal extraction. Some discussions and simulations are carried out to compare the proposed benchmarking method to the regression method development by Cholette and Dagum and the signal extraction method developed by Hillmer and Trabelsi suggesting autoregression integrated moving average (ARIMA) models for the…

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A Nonparametric Method for Benchmarking Survey Data via Signal Extraction

通过信号提取对调查数据进行基准校准的非参数方法

This article introduces a nonparametric method to estimate the covariance matrix for the stationary part of the signal (hidden in data), to enable benchmarking via signal extraction. Some discussions and simulations are carried out to compare the proposed benchmarking method to the regression method development by Cholette and Dagum and the signal extraction method developed by Hillmer and Trabelsi suggesting autoregression integrated moving average (ARIMA) models for the…

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Elements of Multivariate Time Series Analysis.

多元时间序列分析基础

This study is devoted to the analysis of multivariate time series data. Such data might arise in business and economics, engineering, geophysical sciences, agriculture, and many other fields. The emphasis is on providing an account of the basic concepts and methods which are useful in analyzing such data. The book presupposes a familiarity with univariate time series as might be gained from one term of a graduate course, but it is otherwise self-contained. It covers the…

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Subsampling for heteroskedastic time series

异方差时间序列的子抽样推断

In this article, a general theory for the construction of confidence intervals or regions in the context of heteroskedastic-dependent data is presented. The basic idea is to approximate the sampling distribution of a statistic based on the values of the statistic computed over smaller subsets of the data. This method was first proposed by Politis and Romano (1994b) for stationary observations. We extend their results to heteroskedastic observations, and prove a general…

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Canonical Cointegrating Regression and Testing for Cointegration in the Presence of I (1) and I (2) Variables

含 I(1) 与 I(2) 变量的典范协整回归与协整检验

This paper introduces tests for the null of cointegration in the presence of I (1) and I (2) variables. These tests use residuals from Park's (1992, Econometrica 60,119–143) canonical cointegrating regression (CCR) and the leads-and-lags regression of Saikkonen (1991, Econometric Theory 9,1–21) and Stock and Watson (1993, Econometrica 61, 783–820). Asymptotic theory for CCR in the presence of I (1) and I (2) variables is also introduced. The distributions of the…

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Wald-Type Tests for Detecting Breaks in the Trend Function of a Dynamic Time Series

检测动态时间序列趋势函数断点的 Wald 型检验

In this paper, test statistics for detecting a break at an unknown date in the trend function of a dynamic univariate time series are proposed. The tests are based on the mean and exponential statistics of Andrews and Ploberger (1994, Econometrica 62, 1383–1414) and the supremum statistic of Andrews (1993, Econometrica 61, 821–856). Their results are extended to allow trending and unit root regressors. Asymptotic results are derived for both I (0) and I (1) errors. When the…

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Optimal Prediction Under Asymmetric Loss

非对称损失下的最优预测

Prediction problems involving asymmetric loss functions arise routinely in many fields, yet the theory of optimal prediction under asymmetric loss is not well developed. We study the optimal prediction problem under general loss structures and characterize the optimal predictor. We compute the optimal predictor analytically in two leading tractable cases and show how to compute it numerically in less tractable cases. A key theme is that the conditionally optimal forecast is…

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Some Impossibility Theorems in Econometrics With Applications to Structural and Dynamic Models

计量经济学中的若干不可能性定理及其在结构与动态模型中的应用

General characterizations of valid confidence sets and tests in problems involving (locally almost) unidentified (LAU) parameters are presented. In particular, any valid confidence set for an unbounded LAU parameter must be unbounded with positive probability. Consequently, almost surely bounded confidence sets, like Wald-type confidence sets, have zero coverage probability and Wald-type test statistics cannot be pivotal functions. The results are applied to simultaneous…

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