Rank statistics for two-sample location and scale problem for rounded-off data
Rank Test for Testing Randomness of a Regression Coefficient in a Linear Regression Model.
Rank test of hypothesis of randomness against a group of regression alternatives
Rank tests for scale: Hájek's influence and recent developments
Rank Tests for the 2 X 2 Split Pilot Design.
Rank tests for the hypotheses concerning unidentifiable objects
Rank tests in regression model based on minimum distance estimates
In this paper a new rank test in a linear regression model is introduced. The test statistic is based on a certain minimum distance estimator, however, unlike classical rank tests in regression it is not a simple linear rank statistic. Its exact distribution under the null hypothesis is derived, and further, the asymptotic distribution both under the null hypothesis and the local alternative is investigated. It is shown that the proposed test is applicable in measurement error models. Finally, a...
Rank tests of independence when samples are drawn from noncontinuous distributions or censored
Rank tests of symmetry and R-estimation of location parameter under measurement errors
This paper deals with the hypotheses of symmetry of distributions with respect to a location parameter when the response variables are subject to measurement errors. Rank tests of hypotheses about the location parameter and the related R-estimators are studied in an asymptotic set up. It is shown, when and under what conditions, these rank tests and R-estimators can be used effectively, and the effect of measurement errors on the power of the test and on the efficiency of the R-estimators is indicated....
Remark on the rank tests in the case of censored samples
Robustness to non-normality of various tests for the one-sample location problem.
Second order asymptotic distribution of the -divergence goodness-of-fit statistics
The distribution of each member of the family of statistics based on the -divergence for testing goodness-of-fit is a chi-squared to (Pardo [pard96]). In this paper a closer approximation to the exact distribution is obtained by extracting the -dependent second order component from the term.
Sign and Wilcoxon tests for quadratic versus cubic regression.
In this paper sign and Wilcoxon tests for testing the null hypothesis of quadratic regression versus the alternative, cubic regression are proposed. It is shown that in the case of a simple design consisting of multiple Y observations at each of the four levels of x, the proposed tests perform reasonably well as compared to their parametric competitors, while in the case of a general design consisting of a large number of levels of x, the loss in Pitman efficiency is considerable. However their...
Significance testing in exact logistic multiple regression.
Simple random walk and rank order statistics
The distributions of rank order statistics are studied for the case of arbitrary sample sizes in the two sample problem. The method applied is a generalization of Dwass's method from his paper in Ann. Math. Statist. 38 (1967), based on the analogy of rank order statistics and functions on a simple random walk.
Simultaneous rank test procedures
Simultaneous rank test procedures are proposed for testing of randomness concerning some marginals. The considered test procedures are analogous to those introduced by Krishnaiah for classical normal theory (see Krishnaiah (1965) Ann. Inst. Statist. Math. 17, 35-53).
Size-robustness of tests based on order statistics and spacings for the exponential distribution
Some consistent exponentiality tests based on Puri-Rubin and Desu characterizations
We present new goodness-of-fit tests for the exponential distribution based on equidistribution type characterizations. For the construction of the test statistics, we employ an -distance between the corresponding V-empirical distribution functions. The resulting test statistics are V-statistics, free of the scale parameter. The quality of the tests is assessed through local Bahadur efficiencies as well as the empirical power for small and moderate sample sizes. According to both criteria, for...
Some rank tests of independence and the question of their power-function
Some recent results on the law of the iterated logarithm for Banach space valued random variables