Let {Xn, n >= 1} be a strictly stationary sequence of negatively associated random variables, with common continuous and bounded distribution function F. In this paper, we consider the estimation of the two-dimensional distribution function of (X1,Xk+1) based on histogram type estimators as well as the estimation of the covariance function of the limit empirical process induced by the se...

background and purpose: the identification of genetics risk factors of human diseases is very important. this study is conducted to model the allele frequencies (afs) of alzheimer’s disease. materials and methods: in this study, several candidate probability distributions are fitted on a data set of alzheimer’s disease genetic risk factor. unknown parameters of the considered distributions are ...

in this work a glass micromodel which its grains and pores are non-uniform in size, shape and distribution is considered as porous medium. a two-dimensional random network model of micromodel with non-uniform pores has been constructed. the non-uniformity of porous model is achieved by assigning parametric distribution functions to pores throat and pores length, which was measured using image a...

In this paper, free vibration analysis of a polymer-based nano-composite beam reinforced by boron-nitride nanotubes and subjected on elastic foundation, is studied. Smooth and defect-free nanotubes with uniform and directly- orientated in matrix are intended. Also, nanotubes’ distribution in the thickness direction of beam is regarded as a uniform distribution of the three different targeted on...

Introduction: Magnetic nanoparticle (MNP) hyperthermia is a promising cancer treatment approach. It is based on the evidence that by injecting MNPs such as Fe3O4 in the tumor and subjecting them to an alternating magnetic field, they release heat, generating temperatures up to 42°C that can kill cancer cells by apoptosis, usually with lowest damage to normal tissue. In previous...

In this paper we continue the investigation into the group of algebras with uniformly distributed invariants U(K), and its relation to the Schur subgroup, undertaken in [9]. The notation is the same as in [9]. In the first section we investigate the index 1 U(K), : S(K), 1 where q is an odd prime. We obtain [9, Theorem 2.71 as a special case of Theorem 1.2, wherein we obtain that the above inde...

Let α ∈ (0, 1), l ≥ 2 and let Hn be an l-graph on n vertices. Hn is (α, ξ)-uniform if every ξn vertices of Hn span (α± ξ) ( ξn l ) edges. Our main result is the following. For all δ̃, there exist δ, r, n0 such that, if n > n0 and H n is (α, δ)-uniform, then all but exp{−r/20} ( n r ) r-sets of vertices induce a subhypergraph that is (α, δ̃)-uniform. We also present the following application. Let ...

We present a technique for automatically deriving test data generators from a predicate expressed as a Boolean function. The distribution of these generators is uniform over values of a given size. To make the generation efficient we rely on laziness of the predicate, allowing us to prune the space of values quickly. In contrast, implementing test data generators by hand is labour intensive and...