A note on the central limit theorem for a one-sided reflected Ornstein-Uhlenbeck process

In this short communication we present a (functional) central limit theorem for the idle process of a one-sided reflected Ornstein-Uhlenbeck proces

Time-Space Noncommutative Abelian Solitons

We demonstrate the construction of solitons for a time-space Moyal-deformed integrable U(n) sigma model (the Ward model) in 2+1 dimensions. These solitons cannot travel parallel to the noncommutative spatial direction. For the U(1) case, the rank-one single-soliton configuration is constructed explicitly and is singular in the commutative limit. The projection to 1+1 dimensions reduces it to a noncommutative instanton-like configuration. The latter is governed by a new integrable equation, which describes a Moyal-deformed sigma model with a particular Euclidean metric and a magnetic field.Comment: 1+10 page

Standard costing : a new way forward by going back to basics

School of Managemen

Resolving the Raven Paradox: Simple Random Sampling, Stratified Random Sampling, and Inference to the Best Explanation

Simple random sampling resolutions of the raven paradox relevantly diverge from scientific practice. We develop a stratified random sampling model, yielding a better fit and apparently rehabilitating simple random sampling as a legitimate idealization. However, neither accommodates a second concern, the objection from potential bias. We develop a third model that crucially invokes causal considerations, yielding a novel resolution that handles both concerns. This approach resembles Inference to the Best Explanation (IBE) and relates the generalization’s confirmation to confirmation of an associated law. We give it an objective Bayesian formalization and discuss the compatibility of Bayesianism and IBE

The new Basel accord and developing countries: problems and alternatives

The new Basel Accord framework relies on markets and supervisors to discipline banks. Yet both markets and supervisors fail, and more so in developing countries than in high-income countries. Therefore, the new Accord is not, as its designers claim, suitable for wide application. Nevertheless, developing country policymakers have little choice but to implement it in part or in whole. Hence there are problems of governance in international regulation. I offer seven general principles for the design of a prudential regime more robust to government and market failure. Four alternative capital regimes are evaluated in the light of these principles. Simpler and harsher regimes are likely to achieve greater safety with a given level of resources

Stress intensity In a thermoroll

During the manufacture of coated paper products, a paper-making stock consisting of water and 1% or less wood fibers is prepared by chemically or mechanically separating the fibers from wood. A screening process removes most of the water; the remainder is removed through pressing against felts and contact drying. The web is further densified by passing it through high pressure calender rolls, resulting in about a two-fold decrease in caliper of the pressed and dried paper. The web may then pass through a number of calender nips. This last stage of densification involves high temperatures and pressures that lead to high stresses in the roll material. A stack consists of two rolls: one has a polymeric elastomer covering, the other is a solid iron alloy (the thermoroll). It is our task to estimate the stresses in the thermoroll under standard operating conditions, and determine whether it is possible, under certain conditions, for cracking or roll failure to occur. The main focus of our group was to calculate the temperature gradient in the thermoroll and to determine whether this gradient can lead to an intensification of stress in the nip region

Review of Early Quakers and their Theological Thought

In Early Quakers and their Theological Thought, Stephen Angell and Pink Dandelion have provided students and scholars of early Quakerism with an invaluable tool, capturing not only the vibrancy of the early Quakers’ intellectual world, but also the vitality of Quaker studies in the present day. This review will especially consider Douglas Gwyn’s chapter on Quaker origins, and the final three chapters on William Penn, George Keith and George Whitehead respectively, before reflecting on the book as a whole