This paper deals with a new Bayesian approach to the one-sample test for proportion. More specifically, let x=(x1,…,xn) be an independent random sample of size n from Bernoulli distribution unknown parameter θ. For fixed value θ0, goal is null hypothesis H0:θ=θ0 against all possible alternatives. The proposed based on using well-known formula Kullback–Leibler divergence between two binomial dis...

In this paper, we develop and study a novel testing procedure that has more powerful ability to detect mean difference for functional data. general, it includes two stages: first, splitting the sample into parts selecting principle components adaptively based on first half-sample; then, constructing test statistic another half-sample. An extensive simulation is presented, which shows proposed w...