On comparing several populations with a control population
On conditional independence and the relationship between sufficiency and invariance under the Bayesian point of view.
On consistency of the MLE
On consistent -estimators: Tuning constants, unimodality and breakdown
On -optimality of the LR tests
On dimensioning of samples in testing hypotheses
On discrete Fourier analysis of amplitude and phase modulated signals
In this work the problem of characterization of the Discrete Fourier Transform (DFT) spectrum of an original complex-valued signal , t=0,1,...,n-1, modulated by random fluctuations of its amplitude and/or phase is investigated. It is assumed that the amplitude and/or phase of the signal at discrete times of observation are distorted by realizations of uncorrelated random variables or randomly permuted sequences of complex numbers. We derive the expected values and bounds on the variances of such...
On discrete Fourier spectrum of a harmonic with random frequency modulation
Asymptotic properties of the Discrete Fourier Transform spectrum of a complex monochromatic oscillation with frequency randomly distorted at the observation times t=0,1,..., n-1 by a series of independent and identically distributed fluctuations is investigated. It is proved that the second moments of the spectrum at the discrete Fourier frequencies converge uniformly to zero as n → ∞ for certain frequency fluctuation distributions. The observed effect occurs even for frequency fluctuations with...
On empirical Bayes estimation of multivariate regression coefficient.
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 estimable and locally-estimable functions in the non-linear regression model
On estimating error concentration parameter for circular functional model.
On estimating the diffusion coefficient : parametric versus nonparametric
On Estimating the Variance of a Generalized Laplace.
On estimation of parameters in linear models
On estimation of reliability in the exponential case
On exchangeable random variables and the statistics of large graphs and hypergraphs.
On Fourier coefficient estimators consistent in the mean-square sense
The properties of two recursive estimators of the Fourier coefficients of a regression function with respect to a complete orthonormal system of bounded functions (ek) , k=1,2,..., are considered in the case of the observation model , i=1,...,n , where are independent random variables with zero mean and finite variance, , i=1,...,n, form a random sample from a distribution with density ϱ =1/(b-a) (uniform distribution) and are independent of the errors , i=1,...,n . Unbiasedness and mean-square...
On Hodges-Lehmann optimality of LR tests
On inconsistency of Hellwig's variable choice method in regression models
It is shown that a popular variable choice method of Hellwig, which is recommended in the Polish econometric textbooks does not enjoy a very basic consistency property. It means in particular that the method may lead to rejection of significant variables in econometric modeling. A simulation study and a real data analysis case are given to support theoretical results.