We study statistics of records in a sequence of random variables. These identical and independently distributed variables are drawn from the parent distribution ρ. The running record equals the maximum of all elements in the sequence up to a given point. We define a superior sequence as one where all running records are above the average record expected for the parent distribution ρ. We find that the fraction of superior sequences S(N) decays algebraically with sequence length N, S(N)~N(-β) in the limit N→∞. Interestingly, the decay exponent β is nontrivial, being the root of an integral equation. For example, when ρ is a uniform distribution with compact support, we find β=0.450265. In general, the tail of the parent distribution governs the exponent β. We also consider the dual problem of inferior sequences, where all records are below average, and find that the fraction of inferior sequences I(N) decays algebraically, albeit with a different decay exponent, I(N)~N(-α). We use the above statistical measures to analyze earthquake data.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1103/PhysRevE.88.022145 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Parental Mental Health and Child Maltreatment in the COVID-19 Pandemic: Importance of Sampling in a Quantitative Statistical Study.
J Med Internet Res
January 2025
Clinical Psychology and Psychotherapy, Department of Education and Psychology, Freie Universität Berlin, Berlin, Germany.
Background: Results on parental burden during the COVID-19 pandemic are predominantly available from nonrepresentative samples. Although sample selection can significantly influence results, the effects of sampling strategies have been largely underexplored.
Objective: This study aimed to investigate how sampling strategy may impact study results.
Fertility in transgender and gender diverse people: systematic review of the effects of gender-affirming hormones on reproductive organs and fertility.
Hum Reprod Update
January 2025
Amsterdam UMC, Location Vrije Universiteit Amsterdam, Centre of Expertise on Gender Dysphoria, Amsterdam, The Netherlands.
Background: Transgender and gender diverse (TGD) people seek gender-affirming care at any age to manage gender identities or expressions that differ from their birth gender. Gender-affirming hormone treatment (GAHT) and gender-affirming surgery may alter reproductive function and/or anatomy, limiting future reproductive options to varying degrees, if individuals desire to either give birth or become a biological parent.
Objective And Rationale: TGD people increasingly pursue help for their reproductive questions, including fertility, fertility preservation, active desire for children, and future options.
Is there a risk of developmental problems in infants born to mothers with gestational diabetes mellitus and/or pre-eclampsia?
PLoS One
January 2025
Developmental and Early Physiotherapy Unit, Faculty of Physical Therapy and Rehabilitation, Hacettepe University, Ankara, Türkiye.
Objective: The aims of this study were (i) to describe the early spontaneous movements in 3-to 5-month-old infants in groups of infants born to mothers with GDM and/or PE, (ii) to compare them, and (iii) to analyze the differences between infants with these risk factors and typically developing infants born to mothers without GDM and/or PE and other risk factors.
Methods: This cohort study included 255 infants in 4 groups: (i) 96 infants born to mothers with GDM, (ii) 78 infants born to mothers with PE, (iii) 31 infants born to mothers with GDM and PE, and (iv) 50 typically developing infants. Early spontaneous movements, including not only fidgety movements but also concurrent movement and postural patterns, were assessed using the General Movements Assessment (GMA), which determines the Motor Optimality Score-Revised (MOS-R).
Toward Equitable Access to Psychosocial Screening in Canada: Validation of the French-Canadian Psychosocial Assessment Tool.
Pediatr Blood Cancer
March 2025
Azrieli Research Centre, Centre Hospitalier Universitaire Sainte-Justine, Montréal, Québec, Canada.
Objective: The Psychosocial Assessment Tool (PAT) is a brief caregiver report, family-centered, psychosocial risk screening tool widely used in pediatrics and available in many languages. Although French is an official language of Canada, a French-Canadian version of the PAT has not yet been validated, which impedes access to this tool for family psychosocial screening. This study aimed to translate, adapt as necessary, and validate the French-Canadian version of the PAT.
View Article and Find Full Text PDFGenetic Tendency Analysis and Comprehensive Antioxidant Activity Evaluation of Leaves and Flowers of Loquat F Generation.
Curr Issues Mol Biol
January 2025
Institute of Horticulture, Zhejiang Academy of Agricultural Sciences, Hangzhou 310021, China.
Loquat leaves, flowers, and other organs contain abundant antioxidant substances, which have wide applications in medicine, health, and food industries. This study aims to provide theoretical guidance for loquat hybrid parent and combination selection and a basis for high-quality loquat strain screening and development. For comprehensive antioxidant profiling, we used "Ninghaibai" and "Oobusa" loquat and their F generation as experimental materials to determine the total phenol, flavonoid, DPPH, ABTS, and FRAP content in the leaves and flowers of 56 strains.
View Article and Find Full Text PDFWant AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!