STREAM Journal, Vol. 1, No. 4, pp 1-16. October-December 2002

CONTENTS: Hon Mun MPA Pilot Project on community-based natural resources management, by Nguyen Thi Hai Yen and Bernard Adrien. An experience with participatory research in Tam Giang Lagoon, Thua Thien-Hue, by Ton That Chat. Experiences and benefits of livelihoods analysis, by Michael Reynaldo, Orlando Arciaga, Fernando Gervacio and Catherine Demesa. Lessons learnt in implementing PRA in livelihoods analysis, by Nguyen Thi Thuy. Lessons learnt from livelihoods analysis and PRA in the Trao Reef Marine Reserve, by Nguyen Viet Vinh. Using the findings from a participatory poverty assessment in Tra Vinh Province, by Le Quang Binh

Early prediction of triple negative breast cancer response to cisplatin treatment using diffusion-weighted MRI and 18F-FDG-PET

学位記番号：医博甲1707

The Goodman-Nguyen Relation within Imprecise Probability Theory

The Goodman-Nguyen relation is a partial order generalising the implication (inclusion) relation to conditional events. As such, with precise probabilities it both induces an agreeing probability ordering and is a key tool in a certain common extension problem. Most previous work involving this relation is concerned with either conditional event algebras or precise probabilities. We investigate here its role within imprecise probability theory, first in the framework of conditional events and then proposing a generalisation of the Goodman-Nguyen relation to conditional gambles. It turns out that this relation induces an agreeing ordering on coherent or C-convex conditional imprecise previsions. In a standard inferential problem with conditional events, it lets us determine the natural extension, as well as an upper extension. With conditional gambles, it is useful in deriving a number of inferential inequalities.Comment: Published version: http://www.sciencedirect.com/science/article/pii/S0888613X1400101

A refined estimate for the topological degree

We sharpen an estimate of Bourgain, Brezis, and Nguyen for the topological degree of continuous maps from a sphere $\mathbb{S}^d$ into itself in the case $d \ge 2$. This provides the answer for $d \ge 2$ to a question raised by Brezis. The problem is still open for $d=1$