Abstract

In this paper, we develop testing procedures for hypotheses regarding the difference of location parameters from two independent two-parameter exponential populations with unknown but proportional scale parameters. We design appropriate two-stage and purely sequential procedures to determine the appropriate sample sizes while controlling both type-I and type-II error probabilities at or below the preassigned levels α, β respectively. We prove that both two-stage and purely sequential testing strategies enjoy a number of practically appealing properties. Extensive sets of computer simulations validate our theoretical findings. We illustrate the testing methodologies along with sampling procedures on a cancer studies data.

摘要

在本文中，我们开发了关于位置参数差异的假设的测试程序，这些假设来自两个具有未知但比例尺度参数的独立双参数指数种群。我们设计了适当的两阶段和纯顺序程序来确定适当的样本量，同时将 I 型和 II 型错误概率分别控制在或低于预先指定的水平α和β。我们证明了两阶段和纯顺序测试策略都具有许多实际吸引人的特性。大量的计算机模拟验证了我们的理论发现。我们说明了测试方法以及癌症研究数据的采样程序。