Quantitative exponential bounds for the renewal theorem with spread-out distributions

We establish explicit exponential convergence estimates for the renewal theorem, in terms of a uniform component of the inter arrival distribution, of its Laplace transform which is assumed finite on a positive interval, and of the Laplace transform of some related random variable. Our proof is based on a coupling construction relying on discrete-time Markovian structures that underly the renewal processes and on Lyapunov-Doeblin type arguments.Comment: Accepted for publication in Markov Processes and Related Field

Bayesian Analysis of ODE's: solver optimal accuracy and Bayes factors

In most relevant cases in the Bayesian analysis of ODE inverse problems, a numerical solver needs to be used. Therefore, we cannot work with the exact theoretical posterior distribution but only with an approximate posterior deriving from the error in the numerical solver. To compare a numerical and the theoretical posterior distributions we propose to use Bayes Factors (BF), considering both of them as models for the data at hand. We prove that the theoretical vs a numerical posterior BF tends to 1, in the same order (of the step size used) as the numerical forward map solver does. For higher order solvers (eg. Runge-Kutta) the Bayes Factor is already nearly 1 for step sizes that would take far less computational effort. Considerable CPU time may be saved by using coarser solvers that nevertheless produce practically error free posteriors. Two examples are presented where nearly 90% CPU time is saved while all inference results are identical to using a solver with a much finer time step.Comment: 28 pages, 6 figure

Evaluation of Monilinia fructicola on apricot fruits

Monilinia fructicola has been a quarantine pathogen in Europe until 2014; however, the disease risk remains large for Prunus species, because of the continuing spreading around Europe. In order to assess the impact of this fungus on apricot fruits, differences in variety susceptibility need to be evaluated

Submitting to MedEdPORTAL: Do it right the first time

Presented as a Small Group/Roundtable Discussion at 2020 IUSM Education Day.Medical educators at Indiana University School of Medicine (IUSM) are encouraged to publish in MedEdPORTAL: The Journal of Teaching and Learning Resources. Published by the Association of American Medical Colleges (AAMC), MedEdPORTAL is a peer-reviewed, open-access journal for medical education scholarship. These publications contain complete curricula, including objectives, instructor guides, slides, and assessments, ready to be implemented in the classroom. When faculty members apply for promotion, MedEdPORTAL can demonstrate the quality of their work through peer-review, citation counts, and other usage reports. Despite submitting high quality learning modules, medical educators receive rejections from the MedEdPORTAL 62% of time. Reasons for rejection include insufficient educational context and assessment, mismatch of educational objectives and instructional content, and failure to build on existing curricula. Of immediately rejected submissions, 90% also have copyright issues. MedEdPORTAL is a member of the Open Access Scholarly Publishers Association (OASPA) and therefore has strict requirements for copyright and licensing images in the education materials. These requirements are difficult to navigate. For faculty who are not familiar with copyright and licensing, these barriers can be frustrating enough to deter them from submitting curricula. This workshop introduced MedEdPORTAL, described the submission process, and shared our strategies for putting together a successful submission. By the end of the workshop, participants were able to: • Identify curricula they have developed that would fit with the goals of MedEdPORTAL’s publishers • Use template to complete the Educational Summary Report (ESR) • Classify content as that which requires copyright permission, is in the public domain, or has a Creative Commons license • Navigate the process of manuscript submission and revisio

Roosevelt, Boy Scouts, and the Formation of Muscular Christian Character

In the late nineteenth and early twentieth century, many prominent Christians and political leaders saw a degenerative influence in industrializing America. For them, urban culture had eroded gender roles, personal strength, and moral fiber. So-called “Muscular Christians” prescribed physical exertion and wilderness experience to cure these ills. I argue that these values were embodied in idealized characters such as Theodore Roosevelt, Jesus, and the Boy Scout to give a form to cultural remedies. In the process, they became the terms upon which proper Americanism, and proper Christianity, were constructed