Markov Chain Monte Carlo methods may be used to determine normalizations and moments of distributions. However, these methods may perform poorly when starting from distributions that have little overlap with the target. We develop a homotopy based iterative process of incremental importance sampling to normalize distributions when observations can only...
Tree-like patterns are ubiquitous in nature. Botanical trees, river networks, and blood systems are the most well-known examples of complex hierarchical systems met in observations. Interestingly, many of such systems exhibit statistical self-similarity. There are two main types of self-similarity: Horton self-similarity and Tokunaga self-similarity. Although there is an increased...
Many geophysical phenomena exhibit complicated dynamics that, due to a variety of factors, diverge quickly from physical models. The arrival of new observations allows researchers to combine the model estimate with measurements in a statistical process called data assimilation to produce a revised estimate of the phenomenon. This assimilation of...
This paper is an attempt to summarize our actual knowledge about the marine resources available in the area. It also analyzes the situation of the fishery and the principal aspects involved in a possible plan for an integral fisheries development of the Oceanic region around the islands. This plan could...
This document partially addresses the Wetlands component of San Juan County’s Critical Areas Ordinance (CAO). Drawing from a foundation in best available science, it describes important functions performed by the County's wetlands, effects of various activities on those functions, and strategies for protecting wetland functions from impacting activities, with an...
This study examines the relationship of ADHD with quality of life (QoL) and peer relations in college students. Specifically, this study analyzes how ADHD impacts QoL and peer relations and how other variables can impact these relationships. The current study was conducted through an online survey on Qualtrics which included...
The sorbed gases at all four Ocean Drilling Program Leg 139 sites (855, 856, 857, and 858) showed the unmistakable presence of thermogenic hydrocarbons. No indication of abiogenic gas was found. The evidence for the thermogenic hydrocarbons includes elevated contents of higher hydrocarbons (i.e., C₁/[C₂ + C₃] ca. 2-20), δ¹³CCH₄...
There is not yet widespread agreement as to the underlying cause of the 80– 100 ppmv roughly 100-kyr-duration glacial-interglacial cycles in atmospheric pCO2. Most of the mechanisms which have been proposed to account for the observed pCO2 variations appear to in some way violate interpretations of paleo proxy data. The...
Stein's method initially introduced in 1970 by C. Stein is a powerful technique for bounding the distance between the laws of two real-valued random variables. Stein's method has been used to prove distributional convergence to many standard probability distributions such as normal, multivariate normal, Poisson and Brownian motion approximation. In...