摘要翻译:
对于方差已知的正态模型中具有精确大小的矩不等式,我们提出了一个简单的检验,并且更一般地具有一致渐近精确大小的矩不等式。该测试将拟似然比统计量与卡方临界值进行比较,其中自由度是有限样本中有效的不等式的秩。该测试不需要模拟,因此计算速度快,特别适用于通过测试反演构造参数的置信度集。它不使用调谐参数来选择力矩,但仍然适应力矩不等式的松弛。此外,我们还证明了对于干扰参数线性进入的条件矩不等式的共同经验设置,该检验如何容易地适用于关于子向量的推断。
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英文标题:
《Simple Adaptive Size-Exact Testing for Full-Vector and Subvector
Inference in Moment Inequality Models》
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作者:
Gregory Cox and Xiaoxia Shi
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最新提交年份:
2020
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分类信息:
一级分类:Economics 经济学
二级分类:Econometrics 计量经济学
分类描述:Econometric Theory, Micro-Econometrics, Macro-Econometrics, Empirical Content of Economic Relations discovered via New Methods, Methodological Aspects of the Application of Statistical Inference to Economic Data.
计量经济学理论,微观计量经济学,宏观计量经济学,通过新方法发现的经济关系的实证内容,统计推论应用于经济数据的方法论方面。
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一级分类:Mathematics 数学
二级分类:Statistics Theory 统计理论
分类描述:Applied, computational and theoretical statistics: e.g. statistical inference, regression, time series, multivariate analysis, data analysis, Markov chain Monte Carlo, design of experiments, case studies
应用统计、计算统计和理论统计:例如统计推断、回归、时间序列、多元分析、
数据分析、马尔可夫链蒙特卡罗、实验设计、案例研究
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一级分类:Statistics 统计学
二级分类:Statistics Theory 统计理论
分类描述:stat.TH is an alias for math.ST. Asymptotics, Bayesian Inference, Decision Theory, Estimation, Foundations, Inference, Testing.
Stat.Th是Math.St的别名。渐近,贝叶斯推论,决策理论,估计,基础,推论,检验。
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英文摘要:
We propose a simple test for moment inequalities that has exact size in normal models with known variance and has uniformly asymptotically exact size more generally. The test compares the quasi-likelihood ratio statistic to a chi-squared critical value, where the degree of freedom is the rank of the inequalities that are active in finite samples. The test requires no simulation and thus is computationally fast and especially suitable for constructing confidence sets for parameters by test inversion. It uses no tuning parameter for moment selection and yet still adapts to the slackness of the moment inequalities. Furthermore, we show how the test can be easily adapted for inference on subvectors for the common empirical setting of conditional moment inequalities with nuisance parameters entering linearly.
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PDF链接:
https://arxiv.org/pdf/1907.06317