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arXiv 1503.00994stat.ME
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基于指数倾斜经验似然估计量检验简单原假设的经验φ-散度检验统计量

Empirical phi-divergence test statistics for testing simple null hypotheses based on exponentially tilted empirical likelihood estimators

Angel Felipe, Nirian Martín, Pedro Miranda, Leandro Pardo

摘要:

在计量经济学中,在不假设潜在分布的情况下施加限制来模拟复杂的现实是一种有价值的方法论工具。然而,如果一个子集的限制是不正确的指定,通常的测试统计量正确指定的模型往往拒绝一个简单的原假设。在这种情况下,我们可以说模型存在误设定。我们研究了Balakrishnan et al.(2015)中引入的经验φ-发散检验统计量的行为,通过使用Schennach(2007)的指数倾斜经验似然估计量,作为小样本量的显著性水平的效率和错误指定下的鲁棒性之间的良好折衷。

英文摘要:

In Econometrics, imposing restrictions without assuming underlying distributions to modelize complex realities is a valuable methodological tool. However, if a subset of restrictions were not correctly specified, the usual test-statistics for correctly specified models tend to reject erronously a simple null hypothesis. In this setting, we may say that the model suffers from misspecification. We study the behavior of empirical phi-divergence test-statistics, introduced in Balakrishnan et al. (2015), by using the exponential tilted empirical likelihood estimators of Schennach (2007), as a good compromise between efficiency of the significance level for small sample sizes and robustness under misspecification.

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