Point Estimation for the Ratio of Medians of Two Independent Log-Normal Distributions

被引：2
|
作者：
Singhasomboon, Lapasrada [1 ]
Panichkitkosolkul, Wararit [1 ]
Volodin, Andrei [2 ]
机构：
[1] Thammasat Univ, Dept Math & Stat, Phathum Thant, Thailand
[2] Univ Regina, Dept Math & Stat, Regina, SK S4S 0A2, Canada
来源：
LOBACHEVSKII JOURNAL OF MATHEMATICS | 2021年 / 42卷 / 02期
关键词：
point estimation; central tendency; skewed distribution; normal approximation; simulation; CONFIDENCE-INTERVAL ESTIMATION; INFERENCES; DIFFERENCE;
D O I：
10.1134/S1995080221020177
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We focus on the normal approximation for point estimation of the ratios of medians of two independent, log-normal distributions. We investigate its performance in terms of bias, variance, and mean square error, using Monte Carlo simulations. The results show that the normal approximation, which is relatively simple, provides a reliable result. The normal approximation approaches could be recommended on the basis of the specific values of the parameters and/or sample sizes. The point estimation is illustrated using real data examples.
引用
收藏
页码：415 / 425
页数：11
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