Testing for a unit root in a process exhibiting a structural break in the presence of GARCH errors

This paper considers the effect of GARCH errors on the tests proposed byPerron (1997) for a unit root in the presence of a structural break. We assessthe impact of degeneracy and integratedness of the conditional varianceindividually and find that, apart from in the limit, the testing procedure isinsensitive to the degree of degeneracy but does exhibit an increasingover-sizing as the process becomes more integrated. When we consider the GARCHspecifications that we are likely to encounter in empirical research, we findthat the Perron tests are reasonably robust to the presence of GARCH and donot suffer from severe over-or under-rejection of a correct null hypothesis.

Alternating sums of binomial coefficients with unit fraction arithmetic sequence coefficients

Expressions for finite sums involving the binomial coefficients with unit fraction coefficients whose denominators form an arithmetic sequence are determined.

Evaluation of a boundary integral representation for the conformal mapping of the unit disk onto a simply-connected domain

A representation of the conformal mapping g of the interior or exterior of the unit circle onto a simply-connected domain Ω as a boundary integral in terms ofƒ|∂Ω is obtained, whereƒ :=g -l. A product integration scheme for the approximation of the boundary integral is described and analysed. An ill-conditioning problem related to the domain geometry is discussed. Numerical examples confirm the conclusions of this discussion and support the analysis of the quadrature scheme.

Linear vs. log-linear unit-root specification: an application of mis-specification encompassing

The objective of this paper is to apply the mis-specification (M-S) encompassing perspective to the problem of choosing between linear and log-linear unit-root models. A simple M-S encompassing test, based on an auxiliary regression stemming from the conditional second moment, is proposed and its empirical size and power are investigated using Monte Carlo simulations. It is shown that by focusing on the conditional process the sampling distributions of the relevant statistics are well behaved under both the null and alternative hypotheses. The proposed M-S encompassing test is illustrated using US total disposable income quarterly data.

Risk perception and commitment to reduce global climate change in Spain

An online national survey among the Spanish population (n = 602) was conducted to examine the factors underlying a person’s support for commitments to global climate change reductions. Multiple hierarchical regression analysis was conducted in four steps and a structural equations model was tested. A survey tool designed by the Yale Project on Climate Change Communication was applied in order to build scales for the variables introduced in the study. The results show that perceived consumer effectiveness and risk perception are determinant factors of commitment to mitigating global climate change. However, there are differences in the influence that other factors, such as socio-demographics, view of nature and cultural cognition, have on the last predicted variable.

Testing for unit roots in bounded time series

Many key economic and financial series are bounded either by construction or through policy controls. Conventional unit root tests are potentially unreliable in the presence of bounds, since they tend to over-reject the null hypothesis of a unit root, even asymptotically. So far, very little work has been undertaken to develop unit root tests which can be applied to bounded time series. In this paper we address this gap in the literature by proposing unit root tests which are valid in the presence of bounds. We present new augmented Dickey–Fuller type tests as well as new versions of the modified ‘M’ tests developed by Ng and Perron [Ng, S., Perron, P., 2001. LAG length selection and the construction of unit root tests with good size and power. Econometrica 69, 1519–1554] and demonstrate how these tests, combined with a simulation-based method to retrieve the relevant critical values, make it possible to control size asymptotically. A Monte Carlo study suggests that the proposed tests perform well in finite samples. Moreover, the tests outperform the Phillips–Perron type tests originally proposed in Cavaliere [Cavaliere, G., 2005. Limited time series with a unit root. Econometric Theory 21, 907–945]. An illustrative application to U.S. interest rate data is provided

An investigation into the relationship between values and commitment: a study of staff in the UK charity sector

Abstract The concept of values “fit” has been a significant theme in the management literature for many years. It is argued that where there is alignment of staff and organizational values a range of positive outcomes are encountered. What is unclear is how this translates into the charity sector. This study explores the phenomenon of values alignment in two UK charities. Questionnaires were used to measure staff values, perceptions of organization values and staff commitment. Drawing on the work of Finegan (2000), an interaction term is used as a proxy for fit. Analyses of data from 286 participants indicated that it was the perceptions of organization values that had the greatest impact on staff commitment. The alignment of staff values and perceptions of organization values only had a degree of effect within one of the charities. This challenges the dominant view on such alignment and the implications of this are discussed. Keywords staff, values fit, commitment, organizational identification

Speech acts, responsibility and commitment in poetry

Philosophy has tended to regard poetry primarily in terms of truth and falsity, assuming that its business is to state or describe states of affairs. Speech act theory transforms philosophical debate by regarding poetry in terms of action, showing that its business is primarily to do things. The proposal can sharpen our understanding of types of poetry; examples of the ‘Chaucer-Type’ and its variants demonstrate this. Objections to the proposal can be divided into those that relate to the agent of actions associated with a poem, those that relate to the actions themselves, and those that relate to the things done. These objections can be answered. A significant consequence of the proposal is that it gives prominence to issues of responsibility and commitment. This prominence brings philosophical debate usefully into line with contemporary poetry, whose concern with such issues is manifest in characteristic forms of anxiety.