Existence of Probability Measures With Given Marginals

We show that if f is a probability density on Rn wrt Lebesgue measure (or any absolutely continuous measure) and 0 ≤ f ≤ 1, then there is another density g with only the values 0 and 1 and with the same (n−1)-dimensional marginals in any finite number of directions. This sharpens, unifies and extends the results of Lorentz and of Kellerer. Given a pair of independent random variables 0 ≤ X, Y ≤ 1, we further study functions 0 ≤ ϕ ≤ 1 such that Z = ϕ (X,Y) satisfies E(Z|X) = X and E(Z|Y) = Y. If there is a solution then there also is a nondecreasing solution ϕ(x,y). These results are applied to tomography and baseball

On the critical pair theory in abelian groups : Beyond Chowla's Theorem

We obtain critical pair theorems for subsets S and T of an abelian group such that |S+T| < |S|+|T|+1. We generalize some results of Chowla, Vosper, Kemperman and a more recent result due to Rodseth and one of the authors.Comment: Submitted to Combinatorica, 23 pages, revised versio

The impact of loco-regional recurrences on metastatic progression in early-stage breast cancer: a multistate model

To study whether the effects of prognostic factors associated with the occurrence of distant metastases (DM) at primary diagnosis change after the incidence of loco-regional recurrences (LRR) among women treated for invasive stage I or II breast cancer. The study population consisted of 3,601 women, enrolled in EORTC trials 10801, 10854, or 10902 treated for early-stage breast cancer. Data were analysed in a multivariate, multistate model by using multivariate Cox regression models, including a state-dependent covariate. The presence of a LRR in itself is a significant prognostic risk factor (HR: 3.64; 95%-CI: 2.02-6.5) for the occurrence of DM. Main prognostic risk factors for a DM are young age at diagnosis (</=40: HR: 1.79; 95%-CI: 1.28-2.51), larger tumour size (HR: 1.58; 95%-CI: 1.35-1.84) and node positivity (HR: 2.00; 95%-CI: 1.74-2.30). Adjuvant chemotherapy is protective for a DM (HR: 0.66; 95%-CI: 0.55-0.80). After the occurrence of a LRR the latter protective effect has disappeared (P = 0.009). The presence of LRR in itself is a significant risk factor for DM. For patients who are at risk of developing LRR, effective local control should be the main target of therapy

Deconstructing the financialization of healthcare

Financialization is promoted by alliances of multilateral 'development' organisations, national governments, and owners and institutions of private capital. In the healthcare sector, the leveraging of private sources of finance is widely argued as necessary to achieve the Sustainable Development Goal 3 target of universal health coverage. Employing social science perspectives on financialization, we contend that this is a new phase of capital formation. We trace the antecedents, institutions, instruments and ideas that facilitated the penetration of private capital in this sector, and the emergence of new asset classes that distinguish it. We argue that this deepening of financialization represents a fundamental shift in the organizing principles for healthcare systems, with negative implications for health and equality

Characteristic functional equations of polynomials and the morera-carleman theorem

Several characteristic functional equations satisfied by classes of polynomials of bounded degree are examined in connection with certain generalizations of the Morera-Carleman Theorem. Certain functional equations which have nonanalytic polynomial solutions are also considered.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/43923/1/10_2005_Article_BF02188016.pd

Over de grens: Nederlands extreem geweld in de Indonesische onafhankelijkheidsoorlog, 1945-1949

Op 17 augustus 1945, twee dagen na de Japanse capitulatie, verklaarde Indonesië zich onafhankelijk. Nederland erkende dit niet en trachtte met geweld zelf de regie te voeren over het onvermijdelijke proces van dekolonisatie. Dit leidde tot vier jaren van moeizame onderhandelingen en bittere oorlogvoering. In 2005 verklaarde de Nederlandse regering dat Nederland die oorlog niet had moeten voeren. Over het geweld dat de Nederlandse militairen tijdens deze oorlog hadden toegepast, staat echter nog altijd het regeringsstandpunt uit 1969 overeind: er waren wel ‘excessen’, maar de krijgsmacht had zich in de regel ‘correct’ gedragen.Naarmate de aanwijzingen van extreem Nederlands geweld zich opstapelden, bleek dit officiële standpunt steeds moeilijker vol te houden. De Nederlandse regering besloot daarom in 2016 tot financiering van een groot onderzoeksprogramma. De belangrijkste conclusies daarvan zijn in dit boek te vinden. De auteurs maken aannemelijk dat de Nederlandse krijgsmacht op structurele basis extreem geweld toepaste en dat dit toen en ook lang daarna op allerlei manieren werd toegedekt. Dit alles past slecht bij een rooskleurig nationaal zelfbeeld – zoals eigenlijk de hele koloniale geschiedenis met dat zelfbeeld schuurt.Colonial and Global Histor