In this paper, we present eleven approaches for testing the equality of scale parameters in gamma distributions when shape parameters are known. These approaches are applicable to other problems such as testing homogeneity of variances in normal distributions, verifying equality of scale-like parameters in inverse Gaussian distributions, and comparing scale parameters in two-parameter exponential distributions with censored data or K-record values. The performance of the proposed tests is compared in terms of empirical size and power using Monte Carlo simulation. Finally, the proposed methods are illustrated using two real data examples.

中文翻译：

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比较具有已知形状的几种伽玛分布中的比例参数

在本文中，我们提供了十一种方法，用于在形状参数已知时测试伽玛分布中比例参数的相等性。这些方法适用于其他问题，例如测试正态分布方差的均一性，验证高斯逆分布中标度参数的相等性，将两参数指数分布中的标度参数与审查数据或K记录值进行比较。使用蒙特卡洛模拟，根据经验大小和功效比较了建议测试的性能。最后，使用两个实际数据示例说明了所提出的方法。