Uniqueness criteria for continuous-time Markov chains with general transition structures

We derive necessary and sufficient conditions for the existence of bounded or summable solutions to systems of linear equations associated with Markov chains. This substantially extends a famous result of G. E. H. Reuter, which provides a convenient means of checking various uniqueness criteria for birth-death processes. Our result allows chains with much more general transition structures to be accommodated. One application is to give a new proof of an important result of M. F. Chen concerning upwardly skip-free processes. We then use our generalization of Reuter's lemma to prove new results for downwardly skip-free chains, such as the Markov branching process and several of its many generalizations. This permits us to establish uniqueness criteria for several models, including the general birth, death, and catastrophe process, extended branching processes, and asymptotic birth-death processes, the latter being neither upwardly skip-free nor downwardly skip-free.

General Harris regularity criterion for non-linear Markov branching processes

We extend the Harris regularity condition for ordinary Markov branching process to a more general case of non-linear Markov branching process. A regularity criterion which is very easy to check is obtained. In particular, we prove that a super-linear Markov branching process is regular if and only if the per capita offspring mean is less than or equal to I while a sub-linear Markov branching process is regular if the per capita offspring mean is finite. The Harris regularity condition then becomes a special case of our criterion.

Characterizing the most general temporal constraint

This paper introduces a characterization of the so-called most general temporal constraint (GTC), which guarantees the common-sense assertion that "the beginning of the effect cannot precede the beginning of the cause". The formalism is based on general time theory which takes both points and intervals as primitive. It is shown that there are in fact 8 possible causal relationships which satisfy GTC, including cases where, on the one hand, effects start simultaneously with, during, immediately after, or some time after their causes, and on the other hand, events end before, simultaneously with, or after their causes. These causal relationships are versatile enough to subsume those representatives in the literature.

Healthcare: rejection of privatisation and patient fees in Central Europe

Since 2006, there have been successful campaigns against commercialisation of public health services in the four central European countries – Czech Republic, Hungary, Poland and Slovakia.

Enlightenment and mission in early nineteenth century South Africa

In the early 19th century the London Missionary Society’s activities in South Africa were the subject of great scandal and a source of disrepute. The behaviour and attitudes of the first wave of LMS missionaries had challenged, and caused outrage, to both the political and moral norms of the colony. The radical attitudes and unconventional private lives of many of the early missionaries had also clearly shocked the Directors in Europe. In these controversies, and in the manner that the Society dealt with them, there can be read a contestation about not only the character, but also the purpose of mission activity. Was the Missionary task to work for political stability, to spread European values and help prepare a compliant and educated workforce? Or was it to save ‘lost souls’ and turn people away from idolatry and sin? Or, again, was it to fight for the oppressed, to liberate slaves and oppose tyranny? These debates were framed in complex and contradictory ways by a larger discussion that was informed by the new ideas and agendas that had emerged in the 18th century, commonly referred to as ‘The Enlightenment’. This paper traces the contours of an engagement between ‘Evangelical’ values and ‘Enlightenment’ principles through an exploration of the issues of the day such as: abolitionism, women’s rights, civilization and savagery. [From the Author]

Increasing research evidence in practice: a possible role for the consultant nurse

Aims: To determine the extent to which clinical nursing practice has adopted research evidence. To identify barriers to the application of research findings in practice and to propose ways of overcoming these barriers. Background: Way back in 1976, nursing and midwifery practice started adopting research evidence. By 1990s, there was some transparency of research evidence in practice, but more could have been done to widen its adoption. Many barriers were identified which could hinder implementation of the evidence in practice, and the effort to remove these remains weak. Evaluation: 25 research articles from across Europe and America were selected, and scrutinized, and recommendations analysed. Findings: Many clinical practitioners report a lack of time, ability and motivation to appraise research reports and adopt findings in practice. The clinical environment was not seen as research friendly as there were a general lack of research activities and facilities locally. There was a clear lack of research leadership in practice. Implication for nursing management: This paper reviewed the research evidence from several published research papers and provides consultant nurses with practical suggestions on how to enhance research evidence application in their practice. It recommends how consultant nurses can make their practice more research transparent by providing the required leadership, creating a research-friendly organization, developing a clear research agenda and facilitating staff develop a local research framework for reading research and implementing research evidence in their practice.

Survival in 176 patients with inoperable non small cell lung cancer treated initially with chemotherapy in a district general hospital

In advanced non-small cell lung cancer (NSCLC) platinum based chemotherapy with second generation drugs improves median survival (MS) to 8 months and 29% and 10% at 1 and 2 years. Platinum with a third generation drug can improve survival further (BMJ 1995;311: 899) (Spiro et al. Thorax 2004;59:828 Big Lung Trial; N Engl J Med 2003;346:92 ECOG study). NICE now recommends chemotherapy with platinum and a third generation drug for inoperable NSCLC as the first treatment modality. Methods: We audited survival of 176/461 consecutive patients referred for at least 3 courses of platinum and either gemcitabine or vinorelbine from July 2001 to December 2005. Minimal follow up 17 months. Chemotherapy was given on site. Radical radiotherapy for stage IIIA, palliative radiotherapy and second line drugs were given as felt appropriate. Results: 64% were male. 30 (17%) were <55 years ; 66 (37.5%) age 55–65 years; 63 (35.8%) aged 66–75 and 16 (9.1%) >75 years. 5 (2.8%) were stage II; 46 (26%) stage IIIA; 68 (38%) stage IIIB and 55 (30.8%) stage IV. 68 (38%) had 0– 2 courses; 63 (36%) 3 courses and 44 (25%) had 4 or more.

Local public finance in Central and Eastern Europe: assessing the first decade

[Taken from book jacket] This book explores the system of financing local governments in selected countries of Central and Eastern Europe. Using evidence from the last two decades, the authors, experts on their particular countries, describe the development of the current local government finance system in each nation, and the major challenges and policy options they face. The contributions in this book provide comprehensive coverage of a transitional Europe that encompasses both modern local public finance theory and specific applications in the target countries.

Waste management companies in Europe 2009

This paper examines the ownership, employment and finances of the major waste companies in Europe, and recent developments in ownership.

Waste management in Europe: framework, trends and issues

This paper reviews major factors affecting the waste managment sector in Europe, including EU legislation, ECJ rulings, the economic crisis, outsourcing and municipalisation, and employment, including disputes and pay and conditions.