Some LIL type results on the partial sums and trimmed sums with multidimensional indices.
Some limit behavior for linear combinations of order statistics
In the present paper, we establish the moderate and large deviations for the linear combinations of uniform order statistics. As applications, the moderate and large deviations for the -th order statistics from uniform distribution, Gini mean difference statistics and the -th order statistics from general continuous distribution are obtained.
Some limit properties of an approximate least squares estimator in a nonlinear regression model with correlated nonzero mean errors.
Some measures of the amount of information for the linear regression model.
Some methods of constructing kernels in statistical learning
This paper is a collection of numerous methods and results concerning a design of kernel functions. It gives a short overview of methods of building kernels in metric spaces, especially and . However we also present a new theory. Introducing kernels was motivated by searching for non-linear patterns by using linear functions in a feature space created using a non-linear feature map.
Some methods of estimation for a trivariate Poisson distribution
Some models for the voltage.
Some monotonicity and limit results for the regularised incomplete gamma function
Letting P(u,x) denote the regularised incomplete gamma function, it is shown that for each α ≥ 0, P(x,x+α) decreases as x increases on the positive real semi-axis, and P(x,x+α) converges to 1/2 as x tends to infinity. The statistical significance of these results is explored.
Some new functional equations connected with characterization problems.
Some New Random Effect Models for Correlated Binary Responses
Exchangeable copulas are used to model an extra-binomial variation in Bernoulli experiments with a variable number of trials. Maximum likelihood inference procedures for the intra-cluster correlation are constructed for several copula families. The selection of a particular model is carried out using the Akaike information criterion (AIC). Profile likelihood confidence intervals for the intra-cluster correlation are constructed and their performance are assessed in a simulation experiment. The sensitivity...
Some New Time Series Results.
Some nonlinear statistical problems of a Poisson process
Some notes on Rayleigh dirstribution
Some Notes on the Non-central Negative Binomial Distribution.
Some notes to the algebraization of Dempster-Shafer treatment of uncertainty
Some observations on the constructions of chemical balance weighing designs
The construction of some optimum chemical balance weighing designs from affine μ-resolvable balanced incomplete block (BIB) designs are discussed in the light of a characterization theorem on the parameters of affine μ-resolvable BIB designs as given by Mohan and Kageyama (1982), for the sake of practical use of researchers who need some selective designs for the construction of chemical balance weighing designs.
Some Order Relations Between Selection and Inclusion Probabilities for PPSWOR Sampling Scheme.
Some Parameter Estimation Issues in Functional-Structural Plant Modelling
The development of functional-structural plant models has opened interesting perspectives for a better understanding of plant growth as well as for potential applications in breeding or decision aid in farm management. Parameterization of such models is however a difficult issue due to the complexity of the involved biological processes and the interactions between these processes. The estimation of parameters from experimental data by inverse methods...
Some parameter estimation problems for hypoelliptic homogeneous Gaussian diffusions