A large number of applications in probability, statistics, biology, mathematical physics, computer science, and many other areas rely on approximations of distributions based on limiting results as a parameter, often a sample size, tends to infinity. The best known example is surely the Central Limit Theorem (CLT), which is used to justify the normal approximation in many contexts. A companion ...

Wood structures not only have a significantly lower embodied energy and associated carbon emissions than equivalent steel and concrete structural systems, wood is a carbon sink, removing carbon dioxide from the atmosphere and storing it in building components. The reduction of carbon dioxide is critical to addressing related energy and climate issues. Unfortunately, the structural properties an...

The general model of coagulation is considered. For basic classes of unbounded coagulation kernels the central limit theorem (CLT) is obtained for the fluctuations around the dynamic law of large numbers (LLN) described by the Smoluchovski equation. A rather precise rate of convergence is given both for LLN and CLT.

A batch production process that is initially in the in-control state can fail with constant failure rate to the out-of-control state. The probability that a unit is conforming if produced while the process is in control is constant and higher than the respective constant conformance probability while the process is out of control. When production ends, the units are inspected in the order they ...

describes several excellent strategies to optimize intrinsic load and minimize extraneous load. As noted by the authors, there is legitimate disagreement about the construct of germane cognitive load and how it relates to intrinsic load. However, we do not agree with Leppink and Van den Heuvel’s rejection of germane load as an independent construct. Four of six prior studies performed by Leppin...

In this article, the outlier production mechanism of conventional Multiple Signal Classification (MUSIC) and g-MUSIC Direction-of-Arrival (DoA) estimation technique is investigated using tools from Random Matrix Theory (RMT). A general Central Limit Theorem (CLT) derived that allows to analyze asymptotic stochastic behavior eigenvector-based cost functions in regime where number snapshots anten...