On scale-mixture Birnbaum-Saunders distributions

We present for the first time a justification on the basis of central limit theorems for the family of life distributions generated from scale-mixture of normals. This family was proposed by Balakrishnan et al. (2009) and can be used to accommodate unexpected observations for the usual Birnbaum-Saunders distribution generated from the normal one. The class of scale-mixture of normals includes normal, slash, Student-t, logistic, double-exponential, exponential power and many other distributions. We present a model for the crack extensions where the limiting distribution of total crack extensions is in the class of scale-mixture of normals. (C) 2012 Elsevier B.V. All rights reserved.

Design-based random permutation models with auxiliary information

We extend the random permutation model to obtain the best linear unbiased estimator of a finite population mean accounting for auxiliary variables under simple random sampling without replacement (SRS) or stratified SRS. The proposed method provides a systematic design-based justification for well-known results involving common estimators derived under minimal assumptions that do not require specification of a functional relationship between the response and the auxiliary variables.

Sets of probability distributions, independence, and convexity

This paper analyzes concepts of independence and assumptions of convexity in the theory of sets of probability distributions. The starting point is Kyburg and Pittarelli's discussion of "convex Bayesianism" (in particular their proposals concerning E-admissibility, independence, and convexity). The paper offers an organized review of the literature on independence for sets of probability distributions; new results on graphoid properties and on the justification of "strong independence" (using exchangeability) are presented. Finally, the connection between Kyburg and Pittarelli's results and recent developments on the axiomatization of non-binary preferences, and its impact on "complete" independence, are described.

Climate Change and "historical responsibilities"

The historical responsibility of countries listed in the Annex I of the Convention on Climate Change has been used extensively as a justification for the lack of action of countries not included in Annex I to reduce their greenhouse gas emissions. We analyzed the contribution of non-Annex I countries to the CO2 emissions in the period 1850 - 2006 to assess their relative contribution to total CO2 emissions. In the period 1980 - 2006 non-Annex I countries represented 44% of the total but this contribution increased in the period 1990 - 2006 to 48%. If we extrapolate present trends to 2020 they will represent 56% in the period 1990 - 2020. The "historical responsibility" of Annex I countries is therefore decreasing. If we take 1990 as the starting year in which the Climate Convention recognized clearly that greenhouse gases are interfering dangerously with the climate system, it becomes very difficult to attribute "blame" and "guilt" to Annex I for their historical contributions. It becomes also quite clear the need of non-Annex I countries to engage with Annex I countries in the effort to reduce emissions. The Copenhagen Accord has no mention of "historical responsibilities".