Bootstrap Tests for the Location Parameter under the Skew-Normal Population with Unknown Scale Parameter and Skewness Parameter

In this paper, the inference on location parameter for skew-normal population is considered when scale and skewness are unknown. Firstly, Bootstrap test statistics confidence intervals of single constructed based methods moment estimation maximum likelihood estimation, respectively. Secondly, Behrens-Fisher type interval problems two populations discussed. Thirdly, by Monte Carlo simulation, proposed approaches provide satisfactory performances under senses Type I error probability power in most cases regardless estimator or ML estimator. Further, better than that situations. Finally, above applied to real data examples leaf area index, carbon fibers’ strength red blood cell count athletes verify reasonableness effectiveness approaches.