Brown, Lawrence DGreenshtein, Eitan2023-05-232023-05-2319922016-08-10https://repository.upenn.edu/handle/20.500.14332/47592Let Xi be i.i.d. Xi∼Fθ. For some parametric families {Fθ}, we describe a monotonicity property of Bayes sequential procedures for the decision problem H0:θ = 0 versus H1:θ ≠ 0. A surprising counterexample is given in the case where Fθ is N(θ,1).sequential testingtotal-positivitycomplete classmonotone proceduresStatistics and ProbabilityArticle