The basic principle of any version of insurance is the paradigm that exchanging risk by sharing it in a pool is beneficial for the participants. In case of independent risks with a finite mean, this is the case for risk-averse decision-makers. The situation may be very different in case of infinite mean models. In that case it is known that risk sharing may have a negative effect, which is sometimes called the nondiversification trap. This phenomenon is well known for infinite mean stable distributions. In a series of recent papers, similar results for infinite mean Pareto and Fréchet distributions have been obtained. We further investigate this property by showing that many of these results can be obtained as special cases of a simple result demonstrating that this holds for any distribution that is more skewed than a Cauchy distribution. We also relate this to the situation of deadly catastrophic risks, where we assume a positive probability for an infinite value. That case gives a very simple intuition why this phenomenon can occur for such catastrophic risks. We also mention several open problems and conjectures in this context.

Frailty in older adults with cancer is complex, evolving, and often overlooked in care. This qualitative study explored how frailty is experienced and reported using patient-reported outcome measures (PROMs) and visualized over time through journey maps. Eleven participants (65+) completed the Comprehensive Frailty Assessment Instrument (CFAI) and semi-structured interviews. Individual journey maps combined CFAI scores with personal narratives to track changes in physical, mental, and social aspects of frailty over time. While PROMs showed variability in frailty severity, narratives revealed discrepancies, such as low frailty scores despite significant treatment-related challenges. Fatigue, emotional distress, and isolation were common during treatment, with lasting impacts post-treatment. Findings suggest PROMs alone may not fully capture lived experience. Integrating narrative dialogue provides a more person-centred approach to frailty assessment and care planning.

A diversity of management and environmental factors influence weed seedbank community composition, yet the conditions under which each of these factors is an important driver of the weed seedbank are poorly understood. To investigate this relationship, we used a series of univariate and multivariate analyses to test associations between soil health, nematode community composition parameters, and the composition of the weed seedbank at 59 agricultural sites in the Prince Edward Island Soil Quality Monitoring (PEI SQM) Network spanning a range of land-use intensities and using potato (Solanum tuberosum L.) production systems as a case study. Land-use intensity is a nonstandard term that refers to increasing agricultural activity, including tillage and use of synthetic inputs to sustain high crop yield. Sites were classified into low, medium, and high land-use intensity categories based on frequency of potato cultivation in the past 10 yr. A total of 36 different weed species were found across all sites, and while neither seedbank density nor species richness was influenced by land-use intensity, community assemblage was. Seedbank communities at low land-use intensity sites were largely associated with grass weeds and other weakly competitive species, positively correlated with soil CO2 respiration and nematode community richness and diversity, and negatively correlated with the carbon to nitrogen ratio. In contrast, seedbank communities at medium and high land-use intensity sites were similar and composed of many highly competitive weedy species and correlated with the frequency of potato in the rotation and soil N and K, two commonly used soil fertility inputs. The absence of common agricultural weed species at low land-use intensity sites filtered by soil edaphic factors and abundance of neutral species despite past history of annual cropping suggest that these sites are not refuges for these species and may present a template for the design of weed seed–suppressive soils.

For time series with high temporal correlation, the empirical process converges rather slowly to its limiting distribution. Many statistics in change-point analysis, goodness-of-fit testing, and uncertainty quantification admit a representation as functionals of the empirical process and therefore inherit its slow convergence. As a result, inference based on the asymptotic distribution of those quantities is significantly affected by relatively small sample sizes. We assess the quality of higher-order approximations (HOAs) of the empirical process by deriving the asymptotic distribution of the corresponding error terms. Based on the limiting distribution of the higher-order terms, we propose a novel approach to calculate confidence intervals for statistical quantities such as the median. In a simulation study, we compare coverage rates and lengths of these confidence intervals with those based on the asymptotic distribution of the empirical process and highlight some benefits of HOAs of the empirical process.

This paper presents a novel design of quad-band rat-race couplers (RRCs) based on a modified T-shaped structure (MTSS). Two coupled lines are incorporated into the conventional dual-band T-shaped structure to create the MTSS, making it equivalent to a quarter-wavelength transmission line at four operating bands. The ABCD matrix method is applied to analyze the quad-band MTSS, deriving closed-form equations for calculating parameters of the structure. Then, a conventional RRC is separated into quarter-wavelength transmission lines, which are replaced by the proposed MTSS. To validate the design method, a quad-band RRC operating at 0.6, 1.196, 1.853, and 2.45 GHz is designed, fabricated, and tested. Simulation and experimental results demonstrate excellent agreement with theoretical prediction. The measured results show that input return loss exceeds 21.75 dB, isolation is greater than 21.6 dB, and insertion loss is less than 4.4 dB at all four operating frequencies. Phase deviations observed from the measured in-phase and out-phase responses are within 0o ± 4.6o and 180o ± 6.7o, respectively. Compared to most previously reported quad-band RRCs, the proposed circuit features a simple design and offers superior performance in isolation, return loss, and insertion loss.

It has long been recognized that Sartre’s description of “being-in-itself” in the Introduction to Being and Nothingness (B&N) is reminiscent of Eleatic monism, the view traditionally attributed to Parmenides on which there is only one mind-independent entity, which is undifferentiated and atemporal. I reconstruct two arguments from premises Sartre endorses in B&N for Eleatic monism. These arguments are interesting not only because they give new life to an old reading of B&N, but also because there has recently been a revival of interest in monism in analytic metaphysics.

Hidden Markov models (HMMs) are popular for modeling complex, longitudinal data. Existing identifiability theory for conventional HMMs assume emission probabilities are constant over time and the Markov chain governing transitions among the hidden states is irreducible, which are assumptions that may not be applicable in all educational and psychological research settings. We generalize existing conditions on homogeneous HMMs by considering heterogeneous HMMs with time-varying emission probabilities and the potential for absorbing states. Researchers are investigating a family of models known as restricted HMMs (RHMMs), which combine HMMs and restricted latent class models (RLCMs) to provide fine-grained classification of educationally and psychologically relevant attribute profiles over time. These RHMMs leverage the benefits of RLCMs and HMMs to understand changes in attribute profiles within longitudinal designs. The identifiability of RHMM parameters is a critical issue for ensuring successful applications and accurate statistical inference regarding factors that impact outcomes in intervention studies. We establish identifiability conditions for RHMMs. The new identifiability conditions for heterogeneous HMMs and RHMMs provide researchers insights for designing interventions. We discuss different types of assessment designs and the implications for practice. We present an application of a heterogeneous HMM to daily measures of positive and negative affect.

People with HIV (PWH) often encounter health-harming legal needs that impede their access to care, including structural issues such as racism, discrimination, unstable housing, and stigma. Medical-Legal Partnerships (MLPs) have emerged as a promising strategy to address these challenges within HIV care settings. This study aimed to identify the characteristics and strategies of MLPs that are most effective in improving HIV care continuum outcomes. A mixed-methods analysis was conducted utilizing data from a cross-sectional survey of 60 providers in MLPs. Categorical features of MLPs, such as the personnel responsible for screening for health-harming legal needs (HHLN), the organizational structure (community-based vs. institutional), and the delivery of legal services, were examined. A multiple, variable linear regression analysis was conducted to explore the association between these variables and outcomes. Community health organizations were found to be associated with a greater number of patients achieving suppressed HIV viral load. Additionally, a higher number of on-site services were positively correlated with a greater percentage of PWH achieving decreased viral load and completing follow-up appointments. Findings underscore the significance of comprehensive care approaches within MLPs for enhancing positive patient outcomes in HIV care settings.

This study, grounded in critical disability studies, explores ableism in language education and its impact on Deaf and hard of hearing (DHH) students learning English as a foreign or third language (L3). Using interpretative phenomenological analysis, the lived experiences of 14 Iranian DHH undergraduate students, proficient in Esharani (sign language used by the Iranian Deaf community) and Persian, were analyzed. Participants recounted their experiences with ableism in English education through interviews. Analyzing interviews resulted in the emergence of three key themes: a) lack of awareness of (dis)ability and ableism throughout their English education, b) the prevalence of overt and covert ableism viewing deafness as a marker of “otherness,” and c) the need for advocacy and more inclusive practices and environments for DHH learners acquiring L3. This study highlights the challenges DHH learners face in L3 acquisition and calls for more inclusive language education policies to better support disabled students.

The control of standard contract terms has become one of the most important yet controversial areas of contract law. By comparing the Directive 93/13/EEC on unfair terms in consumer contracts with the recently adopted US Restatement of Consumer Contracts, this Article sheds light on the relative strengths and weaknesses of the EU and US regulatory approaches to the use of standard terms in consumer contracts. Particular emphasis is placed on the review of dispute resolution clauses. The central thesis of this Article is that the personal scope of the European and US consumer contract control regimes should be broadened to protect small and medium sized enterprises and that their interplay with private international law needs to be clarified.

Organizations often face moral dilemmas. For example, in 2004 the UN Refugee Agency (UNHCR) needed to decide whether to help refugees in enclosed camps in Pakistan repatriate to Afghanistan. On the one hand, helping with repatriation might have made UNHCR complicit in forced returns, as refugees sought to repatriate just to avoid life without freedom in Pakistan. On the other hand, refusing to help with repatriation would leave refugees stranded in camps: perhaps repatriation was the best option if this was what refugees wanted. When organizations face this and other dilemmas, it is not clear how they should proceed. In other words, it is unclear which policy they should pursue when all feasible policies seem wrong. Some might think that, at least for hard dilemmas, every choice is just wrong, and so no choice is right. But that is not quite true. Even difficult dilemmas can be resolved using certain methods. One method is to ask those affected by potential policies what they think the most justifiable policy is. A second method is to choose what to do randomly. Randomly selecting a course of action can sometimes be the fairest way of determining what to do when every option seems wrong.

This article is an exploration of how Christian influences manifested in Indigenous rock art, comparing two distinct case studies: western Arnhem Land in northern Australia and the southern Andes in north-central Chile. The analysis aims to understand the intersection between Indigenous artistic traditions and the introduction of Christianity through European colonization. Our comparative analysis reveals significant regional differences. In western Arnhem Land, the scarcity of Christian imagery suggests resistance to or avoidance of religious symbols, while in north-central Chile, the prevalence of Christian symbols indicates a more profound incorporation of Christianity into Indigenous artistic practices. These findings underscore the importance of considering local contexts and historical processes when examining the impact of colonization on Indigenous art. Understanding these differences provides valuable insights into the complex interactions between Indigenous cultures and European colonizers, revealing resistance and adaptation in the face of profound social and religious changes.