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Adjusted empirical likelihood with high-order one-sided coverage precision

机译:调整后的经验似然性,具有高阶的单面覆盖精度

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摘要

Constructing confidence intervals with high-order coverage probability precision is more difficult for one-sided intervals than for two-sided intervals. Many existing methods can achieve precision of order n~(-2) for two-sided intervals but only n~(-1/2) for one-sided intervals. Through a creative use of adjusted empirical likelihood, we develop a new procedure that attains coverage precision of order n~(-3/2) for one-sided intervals while retaining order n~(-2) precision for two-sided intervals. We provide detailed comparisons of the asymptotic properties of the new method and those of representative existing methods. Simulation results show that the new method offers many advantages.
机译:与单侧间隔相比,单侧间隔构造具有高阶覆盖概率精度的置信区间更加困难。许多现有的方法对于两侧间隔可以达到n〜(-2)的精度,但是对于一侧间隔只能达到n〜(-1/2)的精度。通过创造性地使用调整后的经验似然,我们开发了一种新的程序,该程序在单侧间隔中达到n〜(-3/2)阶的覆盖精度,而在双侧间隔中保持n〜(-2)阶的精度。我们提供了新方法和代表性现有方法的渐近性质的详细比较。仿真结果表明,该方法具有很多优点。

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