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.