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文章基本信息

  • 标题:Sign Tests for Dependent Observations­
  • 作者:Rustam Ibragimov ; Donald J. Brown
  • 期刊名称:HIER Discussion Paper Series / Harvard Institute of Economic Research
  • 出版年度:2006
  • 卷号:2006
  • 出版社:Harvard Institute of Economic Research
  • 摘要:The present paper introduces new sign tests for testing equality of conditional distributions of two (arbitrary) adapted processes as well as for testing conditionally symmetric martingale-difference assumptions. Our analysis is based on results that demonstrate randomization over ties in sign tests for equality of conditional distributions of two adapted sequences produces a stream of i.i.d. symmetric Bernoulli random variables. This reduces the problem of estimating the critical values of the tests to computing the quantiles or moments of Binomial or normal distributions. A similar proposition holds for randomization over zero values of three-valued random variables in a conditionally symmetric martyingale-difference sequence.
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