均值变化最大似然检验的渐近分布

Asymptotic Distributions of Maximum Likelihood Tests for Change in the Mean

Biometrika · 1990
被引 2
ABS 4

中文导读

证明了独立随机变量均值变化的最大似然检验的极限分布是Gumbel分布,并解释了最大似然方法在尾部为何非常有效。

Abstract

For the maximum likelihood tests for a change in the mean of independent random variables, it is proved that the limit distribution is a double exponential, i.e. Gumbel, distribution. Our results also explain why the maximum likelihood methods are very powerful on the tails.

统计学极值理论最大似然估计假设检验