Boundedly complete families which are not complete

Summary Completeness of a family of probability distributions implies its bounded completeness but not conversely. An example of a family which is boundedly complete but not complete was presented by Lehmann and Scheffe [5]. This appears to be the only such example quoted in the statistical literature. The purpose of this note is to provide further examples of this type. It is shown that any given family of power series distributions can be used to construct a class containing infinitely many boundedly complete, but not complete, families. Furthermore, it is shown that the family of continuous distributions , is boundedly complete, but not complete, whereU denotes the uniform distribution on [a, b] and {P _ϑ,ϑ ∈ IR}, is a translation family generated by a distributionP ₀ with mean value zero, which is continuous with respect to the Lebesgue measure.     

Author Index Volume 24 2003

Authors Index

Author Index Volume 24 2003     

Deficiencies of orthodox foreign trade theory with regard to employment

The orthodox theory of foreign trade, which is simply a theory of re-allocation, can scarcely do justice to the issues that arise in the context of North-South relations. Its isolation from the problems of world and regional economic development, different trade flows and the transfer of production factors reduces its relevance to employment.     

Regionalisation versus regionalism— Problems of change in the world economy

The distinct trends towards regionalisation in the world economy that could be observed in recent years should not be interpreted merely as the formation of economic blocs or “fortresses”. This would amount to adopting a biased, backward-looking approach that sees only the sombre experiences of the thirties and forties and does not take sufficient account of the different challenges of the post-war period.     

Information Systems for “Wicked Problems”

The objective of this commentary is to propose fruitful research directions built upon the reciprocal interplay of social media and collective intelligence. We focus on “wicked problems” – a class of problems that Introne et al. (Künstl. Intell. 27:45–52, 2013) call “problems for which no single computational formulation of the problem is sufficient, for which different stakeholders do not even agree on what the problem really is, and for which there are no right or wrong answers, only answers that are better or worse from different points of view”. We argue that information systems research in particular can aid in designing appropriate systems due to benefits derived from the combined perspectives of both social media and collective intelligence. We document the relevance and timeliness of social media and collective intelligence for business and information systems engineering, pinpoint needed functionality of information systems for wicked problems, describe related research challenges, highlight prospective suitable methods to tackle those challenges, and review examples of initial results.