Abstract

In this paper, estimation of parameters α and β for the log-extended exponential-geometric distribution will be respectively considered in cases when β is known and when both are unknown. Simple random sampling (SRS) and moving extremes ranked set sampling (MERSS) will be used, and several traditional estimators will be considered. The estimators using MERSS are compared to the corresponding ones using SRS. The numerical results show that the estimators using MERSS are significantly more efficient than the ones using SRS. A real data set is used for illustration.

中文翻译：

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使用简单随机抽样和移动极值排序集抽样的对数扩展指数几何参数估计

摘要

本文分别考虑β已知和未知两种情况下对数扩展指数几何分布参数α和β的估计。将使用简单随机抽样 (SRS) 和移动极值排序集抽样 (MERSS)，并考虑几个传统的估计量。使用 MERSS 的估计器与使用 SRS 的相应估计器进行比较。数值结果表明，使用 MERSS 的估计器比使用 SRS 的估计器更有效。使用真实数据集进行说明。