故意有偏估计量的置信区间

Confidence intervals for intentionally biased estimators

Econometric Reviews · 2024
被引 2
人大 A-ABS 3

中文导读

研究了三种以故意有偏估计量为中心的置信区间,相比无偏估计量,在置信水平高于91.7%时覆盖概率更高,且计算简单,适用于多个领域。

Abstract

.We propose and study three confidence intervals (CIs) centered at an estimator that is intentionally biased to reduce mean squared error. The first CI simply uses an unbiased estimator’s standard error; compared to centering at the unbiased estimator, this CI has higher coverage probability for confidence levels above 91. 7%, even if the biased and unbiased estimators have equal mean squared error. The second CI trades some of this “excess” coverage for shorter length. The third CI is centered at a convex combination of the two estimators to further reduce length. Practically, these CIs apply broadly and are simple to compute.

置信区间有偏估计均方误差覆盖概率