Search Results (14)

New copula families are constructed based on orthogonality in $L^2(0,1)$. Subclasses of idempotent copulas with square integrable densities are derived. It is shown that these copulas generate exchangeable Markov chains that behave as independent and identically distributed random variables conditionally on the initial variable. We prove that the extracted family of copulas is the only set of symmetric idempotent copulas with square integrable densities. We extend these copula families to asymmetric copulas with square integrable densities having special dependence properties. One of our extensions includes the Farlie–Gumbel–Morgenstern (FGM) copula family. The mixing properties of Markov chains generated by these copulas are established. The Spearman’s correlation coefficient ${\rho }_S$ is provided for each of these copula families. Some graphs are also provided to illustrate the properties of the copula densities. Full article

Seasonal variations in glycaemic patterns in children and young adults affected by type 1 diabetes are currently poorly studied. However, the spread of Flash Glucose Monitoring (FGM) and continuous glucose monitoring (CGM) systems and of dedicated platforms for the synchronization and conservation of CGM reports allows an efficient approach to the comprehension of these phenomena. Moreover, the impact that environmental parameters may have on glycaemic control takes on clinical relevance, implying a need to properly educate patients and their families. In this context, it can be investigated how blood glucose patterns in diabetic patients may have a link to outdoor temperatures. Therefore, in this study, the relationship between outdoor temperatures and glucose levels in diabetic patients, aged between 4 and 21 years old, has been analysed. For a one-year period (Autumn 2022–Summer 2023), seasonal variations in their CGM metrics (i.e., time in range (TIR), Time Above Range (TAR), Time Below Range (TBR), and coefficient of variation (CV)) were analysed with respect to atmospheric temperature. The results highlight a negative correlation between glucose in diabetic patients and temperature patterns (R value computed considering data for the entire year; Ry = −0.49), behaviour which is strongly confirmed by the analysis focused on the July 2023 heatwave (R = −0.67), which shows that during heatwave events, the anticorrelation is accentuated. The diurnal analysis shows how glucose levels fluctuate throughout the day, potentially correlating with atmospheric diurnal temperature changes in addition to the standard trend. Data captured during the July 2023 heatwave (17–21 July 2023) highlight pronounced deviations from the long-term average, signalling the rapid effects of extreme temperatures on glucose regulation. Our findings underscore the need to integrate meteorological parameters into diabetes management and clinical trial designs. These results suggest that structured diabetes self-management education of patients and their families should include adequate warnings about the effects of atmospheric temperature variations on the risk of hypoglycaemia and about the negative effects of excessive therapeutic inertia in the adjustment of insulin doses. Full article

This study aimed to assess child protection-related needs among drought-affected populations in selected arid counties in Kenya. The specific objectives included: to understand the different underlying vulnerabilities that children and adolescents face during drought with a gender and disability lens; to assess the current or potential presence of emergency risks and their likelihood of occurrence, the capacities, and coping mechanisms of families; identify emerging areas of concern regarding children and adolescents, including those with disability; and informing the interventions through development partners and relevant government ministries. This study adopted a non-experimental design that utilized a mixed-methods approach. The quantitative data collection involved a survey of 1800 households. The information was collected about children (i.e., individuals aged 0–17), their caregivers, and their households. Two methods were used to collect qualitative data. These included Key Informant Interviews (KIIs) and Focus Group Discussions (FGDs). The study established that during drought and in the recovery period, there were increased cases of children dropping out of school mainly due to the migration of families. Child labour and household chores were also mentioned as other vulnerabilities that children and adolescents faced during drought. The findings also noted an inter-linkage between female genital mutilation (FGM), child marriage, and teenage pregnancy across all communities under study. The difficulties occasioned by drought forced many families in ASAL counties to prepare their girls for marriage through the practice of FGM. Despite the high occurrences of sexual violence against children, child marriage, teenage pregnancy, and neglect, the child protection services available for affected children were low. This study recommends strengthening child protection structures at the community level by building the recruitment and capacity of child protection volunteers; sensitizing both parents and children to knowing the proper reporting channels in case of child protection issues; and strengthening the engagement of grassroots organisations, community-based groups, and local-level networks to prevent and respond to child protection concerns. Full article

There are many families of bivariate distributions with given marginals. Most families, such as the Farlie–Gumbel–Morgenstern (FGM) and the Ali–Mikhail–Haq (AMH), are absolutely continuous, with an ordinary probability density. In contrast, there are few families with a singular part or a positive mass on a curve. We define a general condition useful to detect the singular part of a distribution. By continuous extension of the bivariate diagonal expansion, we define and study a wide family containing these singular distributions, obtain the probability density, and find the canonical correlations and functions. The set of canonical correlations is described by a continuous function rather than a countable sequence. An application to statistical inference is given. Full article

The administration of goat milk fermented (FGM) with Lactobacillus delbrueckii subsp. indicus CRL1447 and supplemented with different mixes of lactobacilli strains (Mix1: Limosilactobacillus fermentum CRL1446 + Lactiplantibacillus paraplantarum CRL1449 + Lactiplantibacillus paraplantarum CRL1472; Mix2: CRL1446 + CRL1449; Mix3: CRL1446 + CRL1472; and Mix4: CRL1449 + CRL1472) was investigated regarding body weight, metabolic and inflammatory parameters, and gut microbiota (GM) composition in mice fed a high-fat diet (HFD). Body weight gain, adipocyte size, fasting blood glucose, serum triglyceride, and leptin levels were significantly reduced in the group fed FGM+Mix3 compared with the obese mice fed FGM. FGM+Mix2 and FGM+Mix3 modified the GM composition, reversing the dysbiosis caused by the HFD. Although there were no significant changes at the phylum level, the GM composition was significantly changed at the family and genus levels. Results suggest that the administration of FGM+Mix3 improves metabolic and immune profiles in obese mice while positively modulating the GM, therefore attenuating the risk factors associated with obesity. Full article

This study uses an effective, recently extended Farlie–Gumbel–Morgenstern (EFGM) family to derive the distribution of concomitants of K-record upper values (CKRV). For this CKRV, the negative cumulative residual extropy (NCREX), weighted NCREX (WNCREX), negative cumulative extropy (NCEX), and weighted NCEX (WNCEX) are theoretically and numerically examined. This study presents several beautiful symmetrical and asymmetric relationships that these inaccuracy measurements satisfy. Additionally, empirical estimations are provided for these measures, and their visualizations enable users to verify their accuracy. Full article

In this work, we reveal some distributional traits of concomitants of order statistics (COSs) arising from the extended Farlie–Gumbel–Morgenstern (FGM) bivariate distribution, which was developed and studied in recent work. The joint distribution and product moments of COSs for this family are discussed. Moreover, some useful recurrence relations between single and product moments of concomitants are obtained. In addition, the asymptotic behavior of the concomitant’s rank for order statistics (OSs) is studied. The information measures, differential entropy, Kullback–Leibler (KL) distance, Fisher information number (FIN), and cumulative past inaccuracy (CPI) are theoretically and numerically studied. Full article

The goal of the present work is to estimate the nonlinear correlation between two random variables when the sample is drawn from a Farlie–Gumbel–Morgenstern (FGM)-type bivariate gamma distribution. In the context of estimating the dependence parameter, a maximum likelihood (ML) methodology is used. Thus, the present work offers ML estimators based on simple random sampling (SRS) and ranked set sampling (RSS). Additionally, we consider generalized modified RSS (GMRSS), which only requires a single rank to obtain a sample. Using GMRSS, we aim to observe the effect of the rth order statistic and its concomitant on the ML estimator. According to the Monte Carlo simulation, it is clearly seen that RSS provides an ML estimator as efficient as the ML estimator based on SRS. On the other hand, it appears that the ML estimator based on GMRSS (with minimum or maximum ranked pairs) is the best option among the studied ML estimators. Moreover, these findings are made even more meaningful by the fact that GMRSS is easier to obtain than SRS and RSS. Full article

In this paper we recall, extend and compute some information measures for the concomitants of the generalized order statistics (GOS) from the Farlie–Gumbel–Morgenstern (FGM) family. We focus on two types of information measures: some related to Shannon entropy, and some related to Tsallis entropy. Among the information measures considered are residual and past entropies which are important in a reliability context. Full article

Approximately 200 million women and girls have undergone female genital mutilation (FGM) worldwide. Migration has spread the practice of FGM around the world, thus making it a global public health issue. The objective of this descriptive qualitative study was to explore the perceptions of Sub-Saharan immigrant women in Spain in relation to the causes of the persistence of FGM. In-depth interviews were carried out with 13 female FGM survivors of African origin, followed by inductive data analysis using ATLAS.ti software. Two main themes emerged from the analysis: (1) A family ritual symbolic of purification and (2) a system of false beliefs and deception in favour of FGM. The FGM survivors living in Europe are aware that FGM is a practice that violates human rights yet persists due to a system of false beliefs rooted in family traditions and deception that hides the reality of FGM from young girls or forces them to undergo the practice. The ritualistic nature of FGM and the threat of social exclusion faced by women who have not had it performed on them contributes to its persistence nowadays. Full article

The benefits of medical devices are often multifaceted and may have an important impact on patients’ and relatives’ physical, mental and/or social well-being. Diabetes is a metabolic disorder and a continuous subcutaneous glucose monitoring sensor can suggest increasing treatment satisfaction. The purpose of this study was to describe parents’ experiences during their daily lives and support needs when a child uses a Flash Glucose Monitoring system (FGM). Twenty parents (n = 3 men vs. n = 17 women) to children (age ranged between 22 months and 16 years) with diabetes disease type 1, treated with an FGM unit (used for an average of 7 months (range 1–72)) at home, participated in this study. A qualitative questionnaire survey with open questions including follow-up dialogues was distributed to the parents, and collected data were analysed using qualitative content analysis. Overall satisfaction with the Libre device was Md 10 (IQR 9.25–10). One main theme “Advances in technology significantly improved everyday life” emerged from 2 categories: Improvements in quality of life and Elements of challenges. In conclusion, this qualitative study determined that parents of children with DMT1 experience a great improvement in daily life when given the opportunity to use the Libre device. Full article

Background: Female genital mutilation (FGM) is any process that injures female genitals for non-medical reasons and is a violation of women’s human rights. An important number of women from countries where FGM is performed are arriving to Western countries. Health professionals are important for detecting cases of FGM. No surveys to assess knowledge, attitudes and practices on FGM among healthcare professionals has been conducted in Castilla la Mancha (Spain) until now. Methods: The main goal of the study is assessing knowledge, attitudes and perceptions of healthcare professionals in relation to FGM. A cross-sectional descriptive study was conducted based on self-administered online surveys to nurses, midwives, family doctors, pediatricians, obstetrics and gynecologists. Results: In total, 1168 professionals answered the surveys. Just 13.9% indicated that they had received training in FGM, however just 10.7% correctly identified the three types of FGM, 10.7% the countries where it is usually practiced, 33.9% knew the legislation in Spain and only 4.4% found a case of FGM during their professional practice. Regarding the knowledge about protocols, 8.64% of the sample indicated to know one of them. Conclusion: The present study demonstrate that it is necessary to improve the training and awareness of healthcare professionals related to FGM in Castilla la Mancha. Full article

European healthcare systems are increasingly being challenged to respond to female genital mutilation (FGM). This study explores the FGM experiences of migrant women coming from FGM-practicing countries residing in a European host country. A qualitative phenomenological study was carried out and 23 participants were included. Data were collected through 18 face-to-face open-ended interviews and a focus group and were analysed using Giorgi’s four-step phenomenological approach. Three main themes were derived: “FGM consequences”, “healthcare received” and “tackling FGM”. Participants highlighted obstetric, gynaecological and genitourinary consequences such as haemorrhages, perineal tears, caesarean delivery, risk of infection, dysmenorrhea, urinary tract infections and dysuria; consequences for sexuality, mainly, dyspareunia, loss of sexual interest and decreased quality of sexual intercourse; and psychological consequences such as loss of self-esteem, feelings of humiliation and fear of social and familial rejection. Women perceived a profound lack of knowledge about FGM from health providers and a lack of sensitive and empathetic care. Some women perceived threatening and disproportionate attitudes and reported negative experiences. Participants highlighted the importance of educating, raising awareness and improving prevention and detection strategies. The findings disclose the need to improve training and institutional plans to address structural and attitudinal barriers to health equity across migrant families in their host countries. Full article

In this paper, we study the concomitants of dual generalized order statistics (and consequently generalized order statistics) when the parameters ${\gamma }_1,\dots ,{\gamma }_n$ are assumed to be pairwise different from Huang–Kotz Farlie–Gumble–Morgenstern bivariate distribution. Some useful recurrence relations between single and product moments of concomitants are obtained. Moreover, Shannon’s entropy and the Fisher information number measures are derived. Finally, these measures are extensively studied for some well-known distributions such as exponential, Pareto and power distributions. The main motivation of the study of the concomitants of generalized order statistics (as an important practical kind to order the bivariate data) under this general framework is to enable researchers in different fields of statistics to use some of the important models contained in these generalized order statistics only under this general framework. These extended models are frequently used in the reliability theory, such as the progressive type-II censored order statistics. Full article