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Semiparametric Estimation of Regression Models for Panel Data

面板数据回归模型的半参数估计

Linear models with error components are widely used to analyse panel data. Some applications of these models require knowledge of the probability densities of the error components. Existing methods handle this requirement by assuming that the densities belong to known parametric families of distributions (typically the normal distribution). This paper shows how to carry out nonparametric estimation of the densities of the error components, thereby avoiding the assumption…

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Interactive Graphical Methods in the Analysis of Customer Panel Data

消费者面板数据分析中的交互式图形方法

The study of complex market phenomena is often supported by data gathered from panels of customer households. Recent advances in statistical graphics research help analysts do justice to the richness of such data. The authors describe a graphical approach based on the use of simple linked plots in which case identity is preserved. The expressive power of these plots is enhanced by a variety of interactions such as painting and identification. The authors also introduce the…

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Permanent Income, Current Income, and Consumption: Evidence From Two Panel Data Sets

持久收入、当期收入与消费:来自两个面板数据集的证据

In this paper, the author estimates Euler equations, i.e., the first order conditions of the consumers' maximization problem, using data from two data sets. Consumption data are taken from the Consumer Expenditure Survey. Income data are taken from the Panel Study of Income Dynamics. Since the data for the estimation come from two samples, the author uses a generalization of the instrumental variables estimator: two-sample instrumental variables estimator. She finds evidence…

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Parametric and semi-parametric modelling of vacation expenditures

度假支出的参数与半参数建模

We analyse several limited dependent variable models explaining the budget share that Dutch families spend on vacations. To take account of the substantial number of zero shares, two types of models are used. The first is the single-equation censored regression model. We estimate and test several parametric and semiparametric extensions of the Tobit model. Second, we consider two-equation models, in which the participation decision and the decision on the amount to spend are…

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Measurement of total factor productivity growth and biases in technological change in Western Australian agriculture

西澳大利亚农业全要素生产率增长与技术变化偏向的测度

This study investigates productivity growth in broad-acre agriculture in Western Australia. Tornqvist indices of three output groups (crops, sheep products and other) and five input groups (livestock, materials and services, labour, capital and land) are constructed and discussed. Indices of total output and total inputs are also derived and used to form an index of total factor productivity, that is observed to grow at an average annual rage of 2·7%. The input and output…

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Parametric and semi‐parametric modelling of vacation expenditures

度假支出的参数与半参数建模

We analyse several limited dependent variable models explaining the budget share that Dutch families spend on vacations. To take account of the substantial number of zero shares, two types of models are used. The first is the single-equation censored regression model. We estimate and test several parametric and semiparametric extensions of the Tobit model. Second, we consider two-equation models, in which the participation decision and the decision on the amount to spend are…

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Uniform consistency of generalized kernel estimators of quantile density

广义核分位数密度估计量的一致相合性

Various smoothing methods for quantile density estimation are unified into a generalized kernel smoothing. Based on a stochastic upper bound of the derivatives sequence for a sequence of smoothed Brownian bridges, uniform in-probability consistency of generalized kernel quantile density estimators on any closed subinterval of the open unit interval is derived.

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Quantiles in Nonrandom Samples and Observational Studies

非随机样本与观察性研究中的分位数

In a nonrandom sample or a nonrandomized comparison of treated and control groups, methods are developed for displaying the sensitivity of confidence intervals for population quantiles to the magnitude of the departure from random selection. Quantiles of a single distribution and for a shift in two distributions are both discussed. These confidence intervals are based on a new inequality for the distribution of the number of successes in a nonrandom sample or nonrandomized…

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An Empirical Bayes Model for Markov-Dependent Binary Sequences with Randomly Missing Observations

随机缺失观测下马尔可夫依赖二元序列的经验贝叶斯模型

We develop an improved empirical Bayes estimation methodology for the analysis of two-state Markov chains observed from heterogeneous individuals. First, the two transition probabilities corresponding to each chain are assumed to be drawn from a common, bivariate distribution that has beta marginals. Second, randomly missing observations are incorporated into the likelihood for the hyperparameters by efficiently summing over all possible values for the missing observations.…

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Analyzing Bivariate Ordinal Data Using a Global Odds Ratio

利用全局优势比分析双变量有序数据

A moment method is proposed for regression analysis of bivariate ordered categorical data using the global odds ratio as the measure of association. For modeling the margins, this method utilizes the stochastic ordering implicit in the data. This method allows for covariate effects in modeling the association between responses. An application of the proposed model is illustrated using the ophthalmological data from the Wisconsin Epidemiologic Study of Diabetic Retinopathy…

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Quantiles in Nonrandom Samples and Observational Studies

非随机样本与观察性研究中的分位数

In a nonrandom sample or a nonrandomized comparison of treated and control groups, methods are developed for displaying the sensitivity of confidence intervals for population quantiles to the magnitude of the departure from random selection. Quantiles of a single distribution and for a shift in two distributions are both discussed. These confidence intervals are based on a new inequality for the distribution of the number of successes in a nonrandom sample or nonrandomized…

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An Empirical Bayes Model for Markov-Dependent Binary Sequences with Randomly Missing Observations

随机缺失的马尔可夫依赖二元序列的经验贝叶斯模型

We develop an improved empirical Bayes estimation methodology for the analysis of two-state Markov chains observed from heterogeneous individuals. First, the two transition probabilities corresponding to each chain are assumed to be drawn from a common, bivariate distribution that has beta marginals. Second, randomly missing observations are incorporated into the likelihood for the hyperparameters by efficiently summing over all possible values for the missing observations.…

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Marginal Regression Analysis of a Multivariate Binary Response

多元二元响应的边际回归分析

We propose the use of the mean parameter for regression analysis of a multivariate binary response. We model the association using dependence ratios defined in terms of the mean parameter, the components of which are the joint success probabilities of all orders. This permits flexible modelling of higher-order associations, using maximum likelihood estimation. We reanalyse two data sets, one with variable cluster size and the other a longitudinal data set with constant…

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Semiparametric Regression Estimation in the Presence of Dependent Censoring

存在依赖删失时的半参数回归估计

We propose a semiparametric estimation procedure for estimating the regression of an outcome Y, measured at the end of a fixed follow-up period, on baseline explanatory variables X, measured prior to start of follow-up, in the presence of dependent censoring given X. The proposed estimators are consistent when the data are ‘missing at random’ but not ‘missing completely at random’ (Rubin, 1976), and do not require full specification of the complete data likelihood.…

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Real-time pricing of electricity for residential customers: Econometric analysis of an experiment

居民用电实时定价:一项实验的计量分析

Under real-time pricing, a network operator sets the price level for a period according to a predefined scheme which depends on the state of demand and costs, and announces this price shortly before the period begins. The French state-owned electric utility experimented with a six-rate real-time tariff, which divides the year into three types of days and each day into two periods. The number of days of each type is known in advance to the consumer, but the type of any…

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Estimation of equilibrium wage distributions with heterogeneity

含异质性的均衡工资分布估计

Equilibrium search models generalize the one-sided models used earlier by endogenizing the wage offer distribution. Attempts to estimate versions of these equilibrium n search models have been unsuccessful, ironically because the predicted wage distribution did not fit the wage data. In this paper we extend the applicability of search models by introducing firm heterogeneity to account for the shape of the wage density. The resulting estimation problem is difficult, but we…

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An investigation of the harvest decision of timber firms in the south-east United States

美国东南部木材企业采伐决策研究

In the forestry literature, stochastic extensions of the classic Faustmann model have become the predominant models of optimal harvesting on even-aged timber stands. A recent attempt to estimate a stochastic version of the Faustmann model left several puzzling results unexplained (Provencher, 1995). This paper reports on new estimation and analyses undertaken to resolve these puzzles. Of particular note is the result that the value of using correct price forecasts in the…

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The Empirical Process Approach for Semiparametric Two-Sample Models with Heterogeneous Treatment Effect

异质处理效应下半参数两样本模型的经验过程方法

SUMMARY Two types of semiparametric model are proposed for comparing two samples with possibly heterogeneous treatment effects. One model is a two-sample location-scale model which assumes that the Q-Q-plot of the two distributions involved is linear; the other is the class of two-sample transformation models which assume parametric forms for a probability plot—the receiver operating characteristic curve. The empirical process approach is used to construct strong…

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Regression Models for Longitudinal Binary Responses with Informative Drop-Outs

存在信息性退出的纵向二元响应回归模型

SUMMARY This paper reviews both likelihood-based and non-likelihood (generalized estimating equations) regression models for longitudinal binary responses when there are drop-outs. Throughout, it is assumed that the regression parameters for the marginal expectations of the binary responses are of primary scientific interest. The association or time dependence between the responses is largely regarded as a nuisance characteristic of the data. The performance of the methods…

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Nonparametric Estimation of Exact Consumers Surplus and Deadweight Loss

精确消费者剩余与无谓损失的非参数估计

The authors apply nonparametric regression models to estimation of demand curves of the type most often used in applied research. From the demand curve estimators they derive estimates of exact consumers surplus and deadweight loss. The authors also develop tests of the symmetry and downward sloping properties of compensated demand. They work out asymptotic normal sampling theory for kernel and series nonparametric estimators as well as for the parametric case. The paper…

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Some Specification Tests for Probit Models Estimated on Panel Data

面板数据 Probit 模型的若干设定检验

Generalized score and Wald tests are proposed to test certain aspects of the specification of panel probit models. The procedures used to detect misspecifications, such as omitted and superfluous variables, heteroscedasticity, nonnormality, and random coefficient variations, are designed specifically for the case when the model is estimated by sequential methods. The finite sample distributions of the test statistics in correctly and incorrectly specified models are…

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A class of binary response models for grouped duration data

分组持续时间数据的一类二元响应模型

Abstract This paper explores the relationship between conventional models for binary response such as the probit and logit, and the proportional hazard (PH) and related specifications for grouped duration data. I outline a general class of hazard models for grouped duration data based upon the choice of period‐specific distribution functions, facilitating a thorough analysis of the implications of various specifications and consideration of various issues of model…

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