We study the shape of the probability mass function of the Markov binomial distribution, and give necessary and sufficient conditions for the probability mass function to be unimodal, bimodal, or trimodal. These are useful to analyze the double-peaking results of a reactive transport model from the engineering literature. Moreover, we give a closedform expression for the variance of the Markov ...

We study an overlapping generations model of human capital accumulation with threshold effects using regional data for West Germany. Our basic goal is to shed light on what makes German regions grow. The paper finds that the relative income distribution appears to be stratifying into a trimodal distribution. Thus, application of the threshold model to a real world case, here West Germany, shows...

In this paper we investigate the effect of a random transverse field, distributed according to a trimodal distribution, on the phase diagram and magnetic properties of a two-dimensional lattice (square with z=4),  ferromagnetic Ising system consisting of magnetic atoms with spin-1. This study is done using the effectivefield theory (EFT) with correlations method. The equations are derived using...

PRINCIPLES Trimodal therapy results in long term survival in a small fraction of patients with malignant pleural mesothelioma, particularly in patients having epithelial histology, R0-resection and no nodal involvement. This study analyses the outcome after trimodal therapy including extrapleural pneumonectomy. METHODS From 2000 to 2005 41 patients with histologically verified malignant pleur...

The objective of this article is to address the question of convergence across German districts in the first decade after German unification by drawing out and emphasizing some stylized facts of regional per capita income dynamics. We achieve this by employing nonparametric techniques which focus on the evolution of the entire cross-sectional income distribution. In particular, we follow a dist...

This paper considers a new family of the trimodal skew logistic distributions. Some properties this distribution, including moments, moments generating function, entropy, maximum likelihood estimates parameters and some other properties, are presented. A simulation study is conducted to examine performance parameters. Numerical optimization carried out via two real-life datasets. Results show t...

BACKGROUND Until now, trimodal distribution of HbS has been seen by six different studies in the world when associated with alpha-thalassemia with confirmation by corresponding alpha-genotyping studies. The RBC indices reduce as alpha-globin genes reduce in sickle cell trait (SCT) patients, which decreases the extent of intra-vascular sickling and thus betters the clinical course of the patient...

in this paper we investigate the effect of a random transverse field, distributed according to a trimodal distribution, on the phase diagram and magnetic properties of a two-dimensional lattice (square with z=4),  ferromagnetic ising system consisting of magnetic atoms with spin-1. this study is done using the effectivefield theory (eft) with correlations method. the equations are derived using...