In forensic science, the rare type match problem arises when matching characteristic from suspect and crime scene is not in reference database; hence, it difficult to evaluate likelihood ratio that compares defense prosecution hypotheses. A recent solution consists of modeling ordered population probabilities according two-parameter Poisson-Dirichlet distribution, which a well-known Bayesian no...

The main purpose of this note is to present a new approach to Poisson Approximations. Some bounds in Poisson Approximations in term of classical Le Cam’s inequalities for various row-wise triangular arrays of independent Poisson-binomial distributed random variables are established via probability distances based on Trotter-Renyi operators. Some analogous results related to random sums in Poiss...

If the limit of this as t → 0 exists, then we say that h(x) is Abel summable with the limit as the sum. If h(x) is integrable on R, then h is Abel summable with the usual integral of h being the Abel sum. One can show that the function At(x) can be expressed as an average of Gaussians. This is a quite useful fact, and basically it is a way of saying that Gaussians are more concentrated. For ins...

In actuarial hteramre, researchers suggested various statistical procedures to estimate the parameters in claim count or frequency model. In particular, the Poisson regression model, which is also known as the Generahzed Linear Model (GLM) with Poisson error structure, has been x~adely used in the recent years. However, it is also recognized that the count or frequency data m insurance practice...

In certain toxicological experiments with laboratory animals, the outcome of interest is the occurrence of dead or malformed fetuses in a 'litter. Previous investigations have shown that the simple one~ parameter binomial and Poisson models generally provide poor fits to this type of binary data. In this paper, a type of correlated bino~ mial model is proposed for use in this situation. First, ...

The behavior of cells and tissue is greatly influenced by the mechanical properties of their environment. For studies on the interactions between cells and soft matrices, especially those applying traction force microscopy the characterization of the mechanical properties of thin substrate layers is essential. Various techniques to measure the elastic modulus are available. Methods to accuratel...

We define the class of bivariate binomial distributions as Poisson distributions transformed by a binomial dilution and mixing with a gamma distribution. They are used to study the number of nematodes, considering the sex ratio, parasitizing birds.

The structure of 3:3 and 1:3 electrolyte solutions at various concentrations and several cation/anion size ratios has been analyzed in terms of triplet and pair correlation functions, by means of simulation and a triplet integral equation theory derived from the inhomogeneous Ornstein–Zernike equation. The interaction model consists of a truncated and shifted Coulomb plus the Ramanathan– Friedm...