TY - JOUR A1 - Baringhaus, Ludwig A1 - Gaigall, Daniel T1 - Efficiency comparison of the Wilcoxon tests in paired and independent survey samples JF - Metrika N2 - The efficiency concepts of Bahadur and Pitman are used to compare the Wilcoxon tests in paired and independent survey samples. A comparison through the length of corresponding confidence intervals is also done. Simple conditions characterizing the dominance of a procedure are derived. Statistical tests for checking these conditions are suggested and discussed. KW - Wilcoxon tests KW - Pitman efficiency KW - Bahadur efficiency KW - Length of confidence intervals KW - Kernel density estimator Y1 - 2018 U6 - http://dx.doi.org/10.1007/s00184-018-0661-4 SN - 1435-926X VL - 2018 IS - 81 SP - 891 EP - 930 PB - Springer CY - Berlin ER - TY - JOUR A1 - Baringhaus, Ludwig A1 - Gaigall, Daniel A1 - Thiele, Jan Philipp T1 - Statistical inference for L²-distances to uniformity JF - Computational Statistics N2 - The paper deals with the asymptotic behaviour of estimators, statistical tests and confidence intervals for L²-distances to uniformity based on the empirical distribution function, the integrated empirical distribution function and the integrated empirical survival function. Approximations of power functions, confidence intervals for the L²-distances and statistical neighbourhood-of-uniformity validation tests are obtained as main applications. The finite sample behaviour of the procedures is illustrated by a simulation study. KW - Integrated empirical distribution (survival) function KW - Goodness-of-fit tests for uniformity KW - Numerical inversion of Laplace transforms KW - Coverage probability KW - Equivalence test Y1 - 2018 U6 - http://dx.doi.org/10.1007/s00180-018-0820-0 SN - 1613-9658 VL - 2018 IS - 33 SP - 1863 EP - 1896 PB - Springer CY - Berlin ER -