On a class of distribution-free tests for growth curves analyses
On a robust significance test for the Cox regression model
A robust significance testing method for the Cox regression model, based on a modified Wald test statistic, is discussed. Using Monte Carlo experiments the asymptotic behavior of the modified robust versions of the Wald statistic is compared with the standard significance test for the Cox model based on the log likelihood ratio test statistic.
On Approximating the Distributions of Friedman's xr2 and Related Statistics.
On asymptotic minimaxity of kernel-based tests
In the problem of signal detection in gaussian white noise we show asymptotic minimaxity of kernel-based tests. The test statistics equal -norms of kernel estimates. The sets of alternatives are essentially nonparametric and are defined as the sets of all signals such that the -norms of signal smoothed by the kernels exceed some constants . The constant depends on the power of noise and as . Similar statements are proved also if an additional information on a signal smoothness is given....
On Asymptotic Minimaxity of Kernel-based Tests
In the problem of signal detection in Gaussian white noise we show asymptotic minimaxity of kernel-based tests. The test statistics equal L2-norms of kernel estimates. The sets of alternatives are essentially nonparametric and are defined as the sets of all signals such that the L2-norms of signal smoothed by the kernels exceed some constants pε > 0. The constant pε depends on the power ϵ of noise and pε → 0 as ε → 0. Similar statements are proved also if an additional information on a signal...
On bounds for the asymptotic power and on Pitman efficiencies of the Cramer-von Mises test
On Distances and Goodness-of-Fit Tests for Detecting Multimodal Distributions.
On Dwass' method for deriving the distribution of rank order statistics
This note presents a critical examination of Dwass' method for obtaining the distribution of rank order statistics defined on random samples obtained from the same continuous population. New situations are discussed for the usefulness of the method.
On goodness-of-fit for the absence of memory model
Logrank-type and Kolmogorov-type goodness-of-fit tests for the absence of memory model are proposed when the accelerated experiments are done under step-stresses. The power of the test against the approaching alternatives is investigated. The theoretical results are illustrated with simulated data.
On Hodges-Lehmann optimality of LR tests
On interactions in contingency tables
On Klotz's result on the asymptotic efficiency for the signed rank tests
On locally most powerful rank tests of independence
On Testing Exponentiality Against IFRA Alternatives.
On Testing for Independence Against Right Tail Increasing in Bivariate Models.
On Testing for Lorenz Ordering.
On testing hypotheses in the generalized Skillings-Mack random blocks setting
The testing of the null hypothesis of no treatment effect against the alternative of increasing treatment effect by means of rank statistics is extended from the classical Friedman random blocks model into an unbalanced design allowing treatments not to be applied simultaneously in each random block. The asymptotic normality of the constructed rank test statistic is proved both in the setting not allowing ties and also for models with presence of ties. As a by-product of the proofs a multiple comparisons...
On the asymptotic efficiency of the multisample location-scale rank tests and their adjustment for ties
Explicit formulas for the non-centrality parameters of the limiting chi-square distribution of proposed multisample rank based test statistics, aimed at testing the hypothesis of the simultaneous equality of location and scale parameters of underlying populations, are obtained by means of a general assertion concerning the location-scale test statistics. The finite sample behaviour of the proposed tests is discussed and illustrated by simulation estimates of the rejection probabilities. A modification...
On the asymptotic properties of rank statistics for the two-sample location and scale problem
The equivalence of the symmetry of density of the distribution of observations and the oddness and evenness of the score-generating functions for the location and the scale problem, respectively, is established at first. Then, it is shown that the linear rank statistics with scores generated by these functions are asymptotically independent under the hypothesis of randomness as well as under contiguous alternatives in the last part of the paper. The linear and quadratic forms of these statistics...
On the computation of the exact distribution of power divergence test statistics
In this paper we introduce several algorithms to generate all the vectors in the support of a multinomial distribution. Computational studies are carried out to analyze their efficiency with respect to the CPU time and to calculate their efficiency frontiers. The proposed algorithm is used to calculate exact distributions of power divergence test statistics under the hypothesis of uniformity. Finally, several exact power comparisons are done for different divergence statistics and families of alternatives...