626 research outputs found

    Bayesian recovery of the initial condition for the heat equation

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    We study a Bayesian approach to recovering the initial condition for the heat equation from noisy observations of the solution at a later time. We consider a class of prior distributions indexed by a parameter quantifying "smoothness" and show that the corresponding posterior distributions contract around the true parameter at a rate that depends on the smoothness of the true initial condition and the smoothness and scale of the prior. Correct combinations of these characteristics lead to the optimal minimax rate. One type of priors leads to a rate-adaptive Bayesian procedure. The frequentist coverage of credible sets is shown to depend on the combination of the prior and true parameter as well, with smoother priors leading to zero coverage and rougher priors to (extremely) conservative results. In the latter case credible sets are much larger than frequentist confidence sets, in that the ratio of diameters diverges to infinity. The results are numerically illustrated by a simulated data example.Comment: 17 pages, 4 figures. Published in Comm. Statist. Theory Methods. This version differs from the original in pagination and typographic detail. arXiv admin note: text overlap with arXiv:1103.269

    Crescimento inicial de Mimosa scabrella Benth., Schinus terebinthifolius Raddi e Allophylus edulis (St. Hill) Radl. sob diferentes regimes de adubação.

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    O presente trabalho estudou a produção de mudas em viveiro envolvendo as espécies Mimosa scabrella Benth. (bracatinga), Schinus terebinthifolius Raddi (aroeira-vermelha) e Allophylus edulis (ST Hil.) Radl (vacum). O experimento foi conduzido no Município de Colombo, PR, no viveiro da Embrapa Florestas. Em fevereiro de 2004, foi realizada a semeadura das três espécies, em tubetes com cerca de 50 cm3, preenchidos com 70% de substrato comercial a base de casca de pínus e vermiculita e 30% de fibra de coco granulada. Os tratamentos corresponderam à três diferentes dosagens de adubos, parceladas em adubação de base e de cobertura, dispostos em blocos ao acaso, com parcelas de nove mudas e sete repetições, correspondendo a 63 mudas por espécie/tratamento. Aos quatro meses após a semeadura, foi realizada a avaliação do experimento, com medições de altura e diâmetro do caule de todas as mudas, e selecionada uma muda por repetição para as análises destrutivas de biomassa seca (parte aérea e radicial), tendo como critério a escolha da muda mais próxima da média da repetição. A aroeira-vermelha foi a espécie que melhor respondeu à adubação, seguida da bracatinga. Diferentemente das demais espécies, o vacum apresentou baixa exigência quanto à adubação no processo de produção de mudas. O crescimento das espécies pode ter sido mais lento devido à época do ano, que envolveu o inverno

    Injury rates and injury risk factors among federal bureau of investigation new agent trainees

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    <p>Abstract</p> <p>Background</p> <p>A one-year prospective examination of injury rates and injury risk factors was conducted in Federal Bureau of Investigation (FBI) new agent training.</p> <p>Methods</p> <p>Injury incidents were obtained from medical records and injury compensation forms. Potential injury risk factors were acquired from a lifestyle questionnaire and existing data at the FBI Academy.</p> <p>Results</p> <p>A total of 426 men and 105 women participated in the project. Thirty-five percent of men and 42% of women experienced one or more injuries during training. The injury incidence rate was 2.5 and 3.2 injuries/1,000 person-days for men and women, respectively (risk ratio (women/men) = 1.3, 95% confidence interval = 0.9-1.7). The activities most commonly associated with injuries (% of total) were defensive tactics training (58%), physical fitness training (20%), physical fitness testing (5%), and firearms training (3%). Among the men, higher injury risk was associated with older age, slower 300-meter sprint time, slower 1.5-mile run time, lower total points on the physical fitness test (PFT), lower self-rated physical activity, lower frequency of aerobic exercise, a prior upper or lower limb injury, and prior foot or knee pain that limited activity. Among the women higher injury risk was associated with slower 300-meter sprint time, slower 1.5-mile run time, lower total points on the PFT, and prior back pain that limited activity.</p> <p>Conclusion</p> <p>The results of this investigation supported those of a previous retrospective investigation emphasizing that lower fitness and self-reported pain limiting activity were associated with higher injury risk among FBI new agents.</p

    A systematic review and meta-analysis on the prevalence of dietary supplement use by military personnel

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    BACKGROUND: Although a number of studies have been conducted on the prevalence of dietary supplement (DS) use in military personnel, these investigations have not been previously summarized. This article provides a systematic literature review of this topic. METHODS: Literature databases, reference lists, and other sources were searched to find studies that quantitatively examined the prevalence of DS use in uniformed military groups. Prevalence data were summarized by gender and military service. Where there were at least two investigations, meta-analysis was performed using a random model and homogeneity of the prevalence values was assessed. RESULTS: The prevalence of any DS use for Army, Navy, Air Force, and Marine Corps men was 55%, 60%, 60%, and 61%, respectively; for women corresponding values were 65%, 71%, 76%, and 71%, respectively. Prevalence of multivitamin and/or multimineral (MVM) use for Army, Navy, Air Force, and Marine Corps men was 32%, 46%, 47%, and 41%, respectively; for women corresponding values were 40%, 55%, 63%, and 53%, respectively. Use prevalence of any individual vitamin or mineral supplement for Army, Navy, Air Force, and Marine Corps men was 18%, 27%, 25%, and 24%, respectively; for women corresponding values were 29%, 36%, 40%, and 33%, respectively. Men in elite military groups (Navy Special Operations, Army Rangers, and Army Special Forces) had a use prevalence of 76% for any DS and 37% for MVM, although individual studies were not homogenous. Among Army men, Army women, and elite military men, use prevalence of Vitamin C was 15% for all three groups; for Vitamin E, use prevalence was 8%, 7%, and 9%, respectively; for sport drinks, use prevalence was 22%, 25% and 39%, respectively. Use prevalence of herbal supplements was generally low compared to vitamins, minerals, and sport drinks, ≤5% in most investigations. CONCLUSIONS: Compared to men, military women had a higher use prevalence of any DS and MVM. Army men and women tended to use DSs and MVM less than other service members. Elite military men appeared to use DSs and sport drinks more than other service members
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