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Multi-stage procedures for the minimum risk and bounded risk point estimation of the location of negative exponential distribution under the modified LINEX loss function

机译:修正的LINEX损失函数下负指数分布位置的最小风险和有界风险点估计的多阶段过程

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摘要

In this paper, we develop purely sequential, two-stage, three-stage, and "accelerated" sequential procedures for the point estimation of the location of negative exponential distribution having an unknown scale parameter. We do minimum risk point estimation by using all four sequential procedures mentioned above. In addition, we do bounded risk point estimation by using three-stage and "accelerated" sequential procedures. Consideration is given to a modified LINEX loss function. We aim at controlling the associated risk functions for all the procedures. Second-order approximations are obtained for the proposed procedures. We also discuss first-order properties for purely sequential procedure.
机译:在本文中,我们开发了纯粹的顺序,两阶段,三阶段和“加速”顺序过程,用于对未知比例参数的负指数分布位置进行点估计。我们通过使用上述所有四个顺序过程进行最小风险点估计。另外,我们通过使用三阶段“加速”顺序过程来进行有界风险点估计。考虑修改后的LINEX损失函数。我们旨在控制所有程序的相关风险功能。对于拟议的程序,获得了二阶近似值。我们还将讨论纯顺序过程的一阶属性。

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