On simultaneous inference in multidimensional contingency tables
On small sample inference for common mean in heteroscedastic one-way model
In this paper we consider and compare several approximate methods for making small-sample statistical inference on the common mean in the heteroscedastic one-way random effects model. The topic of the paper was motivated by the problem of interlaboratory comparisons and is also known as the (traditional) common mean problem. It is also closely related to the problem of multicenter clinical trials and meta-analysis. Based on our simulation study we suggest to use the approach proposed by Kenward...
On solution sets of information inequalities
We investigate solution sets of a special kind of linear inequality systems. In particular, we derive characterizations of these sets in terms of minimal solution sets. The studied inequalities emerge as information inequalities in the context of Bayesian networks. This allows to deduce structural properties of Bayesian networks, which is important within causal inference.
On some actuarial models involving sums of dependent risk.
On some alternative forms equivalent to Kruskal's condition for OLSE to be BLUE.
The necessary and sufficient condition for the ordinary least squares estimators (OLSE) to be the best linear unbiased estimators (BLUE) of the expected mean in the general univariate linear regression model was given by Kruskal (1968) using a coordinate-free approach. The purpose of this article is to present in the same manner some alternative forms of this condition and to prove two of the Haberman’s equivalent conditions in a different and simpler way. The results obtained in the general univariate...
On Some Alternative Sampling Strategies Using Auxiliary Information.
On some asymptotic results in statistics by way of contiguity
On some characterizations in probability by using minima and maxima of random variables.
On some characterizations in probability by using minima and maxima of random variables. (Short Communication).
On some distributiions involving general functions
On Some E-Optimal Block Designs.
On some estimation variances in spatial statistics
On some general distributions in terms of generalized functions
On some layer-based risk measures with applications to exponential dispersion models.
On some minimax sequential decision problems with partial observability
On some Mixture Distributions
The aim of this paper is to establish some mixture distributions that arise in stochastic processes. Some basic functions associated with the probability mass function of the mixture distributions, such as k-th moments, characteristic function and factorial moments are computed. Further we obtain a three-term recurrence relation for each established mixture distribution.
On some properties of estimators of a probability density
On some properties of ML and REML estimators in mixed normal models with two variance components
In the paper, the problem of estimation of variance components σ₁² and σ₂² by using the ML-method and REML-method in a normal mixed linear model 𝒩 {Y,E(Y) = Xβ, Cov(Y) = σ₁²V + σ₂²Iₙ} is considered. This paper deal with properties of estimators of variance components, particularly when an explicit form of these estimators is unknown. The conditions when the ML and REML estimators can be expressed in explicit forms are given, too. The simulation study for one-way classification unbalanced random...
On Some Properties of the Linear Function Poisson Binomial and Negative Binomial Distributions.
On some strategies using auxiliary information for estimating finite population mean.
This paper presents an empirical investigation of the performance of five strategies for estimating the finite population mean using parameters such as mean or variance or both of an auxiliary variable. The criteria used for the choices of these strategies are bias, efficiency and approach to normality (asymmetry).