高效的三阶段$t$ -测试
Efficient three-stage $t$-tests
摘要：
将Lai和Zhang的Schwarz最优完全序贯检验推广到多参数指数族，推广了一维指数族的Lorden最优三阶段检验，导出了分离单侧假设的三阶段$t$检验.由此产生的三阶段$t$ -测试被证明是渐近最佳的，实现相同的平均样本量作为最佳的完全序贯检验。
英文摘要：
Three-stage $t$-tests of separated one-sided hypotheses are derived, extending Lorden's optimal three-stage tests for the one-dimensional exponential family by using Lai and Zhang's generalization of Schwarz's optimal fully-sequential tests to the multiparameter exponential family. The resulting three-stage $t$-tests are shown to be asymptotically optimal, achieving the same average sample size as optimal fully-sequential tests.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
