Variance of the MVUE for the Lognormal Mean

Farhad Mehran

doi:10.1080/01621459.1973.10481413

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Variance of the MVUE for the Lognormal Mean

Farhad Mehran刊期 1973-09 · 卷 68（343）Journal of the American Statistical Association已编入正刊

对数正态均值最小方差无偏估计量的方差AI 解读 ↓

一般估计

被引 21 次 ↗OpenAlex · 核验 2026-10-03

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DOI · 10.1080/01621459.1973.10481413

Journal of the American Statistical Association · 卷 68，期 343 · 页码 / 文章号 726-727

正式刊期日期：1973-09

DOI 首次登记：2012-04-05

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Farhad Mehran

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对数正态均值最小方差无偏估计量的方差

研究问题: 对数正态总体均值的最小方差无偏估计量具有怎样的精确方差，样本均值相对于它的估计效率如何计算？
方法与思路: 作者推导对数正态均值最小方差无偏估计量的精确方差，并据此计算样本均值相对于该估计量的效率。
材料陈述的贡献: 摘要明确陈述两项结果：获得该无偏估计量的精确方差，以及利用这一结果评价样本均值的相对效率。
阅读关注点: 应核对参数已知或未知的设定、抽样条件、估计量的具体形式，以及效率如何随样本量和分布参数变化。
阅读边界: 仅据 OpenAlex 索引摘要，稿件版本未注明；未提供方差表达式、效率数值或抽样细节，不能评估效率差距的实际大小。

GPT-6.1 Sol · 高 · 2026-10-03

原文摘要

We derive the exact variance of the minimum variance unbiased estimator (MVUE) of the mean of a lognormal distribution. We apply our result to compute the efficiency of the sample mean relative to the MVUE.

摘要来源：OpenAlex 索引摘要（稿件版本未注明）

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