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

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

School of Managemen

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

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

Pilot-wave theory and quantum fields

Pilot-wave theories provide possible solutions to the measurement problem. In such theories, quantum systems are not only described by the state vector, but also by some additional variables. These additional variables, also called beables, can be particle positions, field configurations, strings, etc. In this paper we focus our attention on pilot-wave theories in which the additional variables are field configurations. The first such theory was proposed by Bohm for the free electromagnetic field. Since Bohm, similar pilot-wave theories have been proposed for other quantum fields. The purpose of this paper is to present an overview and further development of these proposals. We discuss various bosonic quantum field theories such as the Schroedinger field, the free electromagnetic field, scalar quantum electrodynamics and the Abelian Higgs model. In particular, we compare the pilot-wave theories proposed by Bohm and by Valentini for the electromagnetic field, finding that they are equivalent. We further discuss the proposals for fermionic fields by Holland and Valentini. In the case of Holland's model we indicate that further work is required in order to show that the model is capable of reproducing the standard quantum predictions. We also consider a similar model, which does not seem to reproduce the standard quantum predictions. In the case of Valentini's model we point out a problem that seems hard to overcome.Comment: 65 pages, no figures, LaTex; v2 minor changes, some extensions; v3 minor improvements; v4 some typos correcte

Politicians-in-waiting? : the case for a 'popular' involvement in agitation for representative and responsible government in the Province of Wellington, 1840-1853 : a thesis presented in partial fulfilment of the requirements for the degree of Master of Arts in History at Massey University

In 2002, I completed my Honours degree dissertation entitled The Interposing Barrier: Perceptions and Expectations of the British Army in New Plymouth in 1855 1 J. A. Ward, 'The Interposing Barrier: Perceptions and Expectations of the British Army in New Plymouth in 1855', BA (Hons) Research Exercise, Massey University: Palmerston North, 2002. and this thesis has come about as an indirect consequence of the ideas and historical situations I discovered whilst completing its research. During 1855, many colonists in New Plymouth had become extremely dissatisfied with the level of authority that was exercised by those officials whose job it was to protect the fledgling colony from the consequences of local Maori intra-tribal conflicts. An example of this was an express lack of confidence in the authority of Governor George Grey's Resident Magistrates to administer an effective European style of law and governance to the 'uncivilised' and 'lawless' Maori population. Fears for the safety of New Plymouth and settlers in outlying areas, came to a head in 1855 during the Puketapu conflict where troops were requested in order to ensure this Maori conflict was not brought within the town limits or extended into an inter-racial war. Whilst many perceived that troops would be an active force of aggression to dissuade the proliferation of the conflict, the acting Governor, Colonel Robert Henry Wynyard, deployed elements of the 58th and 65th regiments to act in no further capacity than as an interposing barrier of peace keepers, the intent being to 'over-awe' Maori with their presence rather than by their action and prevent the involvement of Europeans in the dispute. When beginning this thesis in 2003, I originally intended to re-assess Wynyard's term as acting Governor, as he had been the butt of criticism not only for his relatively prudent actions regarding the deployment of these troops, but also on his refusal to make his own decisions regarding the implementation of responsible government into the newly formed General Assembly of the colony. It was this issue that dominated the Assembly's first through to its third session, and which eclipsed the importance of events in New Plymouth at the time. However, sources on the under-researched figure of Colonel Wynyard were scattered around the country and it quickly became apparent that such an exercise might be more suited to a researcher of better financial means. My research then led me to an assessment of the debate surrounding the issue of responsible government during these early sessions of New Zealand's first Parliament, and subsequently to the origins of this debate, with the first attempts at agitation to have a representative and responsible authority established in the colony. A quote I used in my dissertation from the editor of the Taranaki Herald about the need for a representative form of government re-captured my interest and made me wonder just who was involved in agitation for a better form of government? The editorial stated: You must agitate, as that is the fashionable word, til you get a pure representative government - no nominees - no toadies - but free, independent, honourable men of business who have talent knowledge and experience, to watch over your affairs, and who will resist the demands of despots in Downing-street. 2 The Taranaki Herald, 18 August, 1852.[FROM INTRODUCTION