On a statistical approach to Bertrand's problem.
On a Statistical measure of Discrimination
On bounds for the asymptotic power and on Pitman efficiencies of the Cramer-von Mises test
On dimensioning of samples in testing hypotheses
On equivalence and bioequivalence testing.
Equivalence testing is the natural approach to many statistical problems. First, its main application, bioequivalence testing, is reviewed. The basic concepts of bioequivalence testing (2×2 crossover designs, TOST, interval inclusion principle, etc.) and its problems (TOST biased character, the carryover problem, etc.) are considered. Next, equivalence testing is discussed more generally. Some applications and methods are reviewed and the relation of equivalence testing and distance-based inference...
On exchangeable random variables and the statistics of large graphs and hypergraphs.
On Hodges-Lehmann optimality of LR tests
On non-nested regression models
A generalization of a test for non-nested models in linear regression is derived for the case when there are several regression models with more regressors.
On optimality of the LR tests in the sense of exact slopes. II. Application to individual distributions
On optimality of the LR tests in the sense of exact slopes. I. General case
On Seifert's ANOVA-like test for variance components
On Special Case of Multiple Hypotheses Optimal Testing for Three Differently Distributed Random Variables
2000 Mathematics Subject Classification: 62P30.In this paper by using theory of large deviation techniques (LDT), the problem of hypotheses testing for three random variables having different distributions from three possible distributions is solved. Hypotheses identification for two objects having different distributions from two given probability distributions was examined by Ahlswewde and Haroutunian. We noticed Sanov's theorem and its applications in hypotheses testing.
On Testing the Correlation Coefficient of a Bivariate Normal Distribution.
On testing variance components in unbalanced mixed linear model
The paper presents some approximate and exact tests for testing variance components in general unbalanced mixed linear model. It extends the results presented by Seifert (1992) with emphasis on the computational aspects of the problem.
On the admissibility of tests for extended hypotheses of fit
On the continuity of the minimal -entropy
On the frequentist and Bayesian approaches to hypothesis testing.
Hypothesis testing is a model selection problem for which the solution proposed by the two main statistical streams of thought, frequentists and Bayesians, substantially differ. One may think that this fact might be due to the prior chosen in the Bayesian analysis and that a convenient prior selection may reconcile both approaches. However, the Bayesian robustness viewpoint has shown that, in general, this is not so and hence a profound disagreement between both approaches exists. In this paper...
On the Poisson difference distribution inference and applications.
On the power of an asymptotically optimal test for the case of Laplace distribution
In the paper we prove a formula for the limit of the difference between the power of the asymptotically optimal test and the power of the asymptotically most powerful test for the case of Laplace distribution.
On the restricted range in the samples from the gamma population
Samples from the gamma population are considered which are censored both above and below, that is, observations below and observations above are missing among observations. The range in such censored samples is taken up and the distribution of this restricted range is obtained, which can be compared with that in the complete sample case given in a previous paper.