Abstract In this article, we develop two-stage, three-stage, and accelerated sequential procedures for the point estimation of the mean μ of an inverse Gaussian distribution when the scale parameter λ is unknown. Both minimum risk and bounded risk estimation problems are considered subject to a weighted squared error loss function. We aim at controlling the associated risk functions for all three procedures. Second-order approximations are obtained for the proposed procedures.

中文翻译：

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逆高斯分布均值的多阶段点估计

摘要 在本文中，我们开发了两阶段、三阶段和加速顺序程序，用于在尺度参数 λ 未知时对逆高斯分布的均值 μ 进行点估计。最小风险和有界风险估计问题都被认为受加权平方误差损失函数的影响。我们的目标是控制所有三个程序的相关风险功能。为建议的程序获得二阶近似值。