We study a family of random geometric graphs on hyperbolic spaces. In this setting, N points are chosen randomly on the hyperbolic plane of curvature −ζ and any two of them are joined by an edge with probability that depends on their hyperbolic distance, independently of every other pair. In particular, when the positions of the points have been fixed, the distribution over the set of graphs on...

We study space-time fluctuations around a characteristic line for a onedimensional interacting system known as the random average process. The state of this system is a real-valued function on the integers. New values of the function are created by averaging previous values with random weights. The fluctuations analyzed occur on the scale n where n is the ratio of macroscopic and microscopic sc...

We study the collective behavior in a random network of coupled Chaté Manneville (CM) maps where the relevant variables are the connectivity k, coupling ε, and the governing parameter of map r. We show that for some interval of their values at least a considerable fraction of network sites display a spatio-temporal intermittency. Within the intermittency window, the system exhibits a complex co...

Overview: Recall that a point estimator for a parameter of interest is a statistic which is a function of the random variables from which our sampling method chooses values. The properties of such an estimator, such as having a small bias or a small mean square error, are usually dependent only upon certain features of the sampling distribution of the statistic, such as its mean or variance. Ho...

BACKGROUND The conventional method for modeling of the five-level EuroQol five-dimensional questionnaire (EQ-5D-5L) health state values in national valuation studies is an additive 20-parameter main-effects regression model. Statistical models with many parameters are at increased risk of overfitting-fitting to noise and measurement error, rather than the underlying relationship. OBJECTIVES T...

A method is proposed to compute the continuum of paths, from shortest paths to all random paths between all pairs of nodes at once in a unified way. The analysis is based on treating the network as a random walk with an additional absorbing state named evaporating state reachable with nonzero probability from any state (so called “evaporating random walk”). The probability of avoiding absorptio...

Assessment of exposure to airborne endotoxins has been studied for several years, especially in occupational environments, but a large number of procedures are used for sampling and analysis. This lack of standardization makes it very difficult to compare results and set internationally accepted threshold limit values (TLVs) or occupational exposure limits (OELs) for endotoxin exposure. This pa...