Abstract 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.

中文翻译：

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修正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程序

摘要 在本文中，我们开发了纯顺序、两阶段、三阶段和“加速”顺序程序，用于具有未知尺度参数的负指数分布位置的点估计。我们使用上述所有四个顺序程序进行最小风险点估计。此外，我们通过使用三阶段和“加速”顺序程序进行有界风险点估计。考虑了修改后的 LINEX 损失函数。我们旨在控制所有程序的相关风险功能。为建议的程序获得二阶近似值。我们还讨论了纯顺序过程的一阶性质。