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A rank test of the crossing point of two continuous cdf's

机译:两个连续CDF的交叉点的秩检验

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It is obvious that x* is an unique crossing point between F and G when Hj is true. This testing problem is of interest since they have immediate application background in survival analysis and reliability analysis. Recently some statisticians such asDeshpande and Shanubhogue. Hawkins and Kockar, have studied this testing problem, The latter two scholars said "to the authors" knowledge, there are no competing tests aimed specifically at testing H_0 versus any of H_1, H_3". Here we propose another nonlinear rank tests aimed specifically at these testing problems. The Monte Carlo study shows that the powers of our tests are more significant than Hawkins-Kockar test under the same conditions.
机译:很明显,当Hj为真时,x *是F和G之间的唯一交叉点。这个测试问题引起了人们的兴趣,因为他们在生存分析和可靠性分析方面具有直接的应用背景。最近有一些统计学家,例如Deshpande和Shanubhogue。 Hawkins和Kockar研究了这个测试问题,后两位学者说:“对作者们来说,没有专门针对H_0和H_1,H_3中任何一个进行测试的竞争性测试。在这里,我们提出了另一个针对此类的非线性等级测试。蒙特卡洛研究表明,在相同条件下,我们的测试能力比霍金斯-考克测试更重要。

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