In this paper, we consider applying the Wilcoxon’s idea for the construction of the one-sample problem to the two-sample case. For this, we show that the location translation parameter becomes a median of the distribution of the difference of two independent random variables under the location translation model. Based on this fact, we construct generalized signed-rank statistics for the two sam...

This article extends the Wilcoxon signed rank test for testing whether the median of a population is a specified constant by treating the observations as imprecise values. The test procedure is developed by using the concepts of “Credibility Theory” for studying the behavior of fuzzy phenomena. Numerical illustration of the proposed test is provided by representing the observations as trapezoid...

Aims / Objectives: To introduce a statistical test, which is mixture of the one-sample t-test and Wilcoxon signed-rank test depends on sample kurtosis, using data from symmetric univariate distribution with finite variance.
 Study Approach: Computer simulation coverage probabilities power calculations either or based software R.
 Methodology: Data are generated differing sizes Normal,...