Two-sample problem Exceedance statistics Precedence statistics Lehmann alternative Location-shift alternative Stochastic ordering
Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
Pliska Studia Mathematica Bulgarica, Vol. 27, No 1, (2017), 91p-102p
This paper deals with a class of nonparametric two-sample tests for ordered alternatives. The test statistics proposed are based on the number of observations from one sample that precede or exceed a threshold specified by the other sample, and they are extensions of Šidák's test. We study their power properties against the location-shift alternative for distributions from the uniform, normal and exponential families. We give the corresponding power functions, obtained by Monte Carlo simulation, and make some comparative comments. 2010 Mathematics Subject Classification: 62G10, 62E15, 62G20.