Maori Davenport, who drew national attention over an eligibility dispute during her senior year of high school, is transferring to Georgia after playing sparingly in her lone season at Rutgers. Lady Bulldogs coach Joni Taylor announced Davenport's decision Wednesday. The 6-foot-4 center from Troy, Alabama will have to sit out a season under NCAA transfer rules before she is eligible to join Georgia in 2021-22.

Zhengwei Liu, Qi Li, Fukang Zhu.

Source: Brazilian Journal of Probability and Statistics, Volume 34, Number 2, 251--272.

Abstract:
To predict time series of counts with small values and remarkable fluctuations, an available model is the $r$ states random environment process based on the negative binomial thinning operator and the geometric marginal. However, we argue that the aforementioned model may suffer from the following two drawbacks. First, under the condition of no prior information, the overdispersed property of the geometric distribution may cause the predictions fluctuate greatly. Second, because of the constraints on the model parameters, some estimated parameters are close to zero in real-data examples, which may not objectively reveal the correlation relationship. For the first drawback, an $r$ states random environment process based on the binomial thinning operator and the Poisson marginal is introduced. For the second drawback, we propose a generalized $r$ states random environment integer-valued autoregressive model based on the binomial thinning operator to model fluctuations of data. Yule–Walker and conditional maximum likelihood estimates are considered and their performances are assessed via simulation studies. Two real-data sets are conducted to illustrate the better performances of the proposed models compared with some existing models.

Eric D. Kolaczyk, Lizhen Lin, Steven Rosenberg, Jackson Walters, Jie Xu.

Source: The Annals of Statistics, Volume 48, Number 1, 514--538.

Abstract:
It is becoming increasingly common to see large collections of network data objects, that is, data sets in which a network is viewed as a fundamental unit of observation. As a result, there is a pressing need to develop network-based analogues of even many of the most basic tools already standard for scalar and vector data. In this paper, our focus is on averages of unlabeled, undirected networks with edge weights. Specifically, we (i) characterize a certain notion of the space of all such networks, (ii) describe key topological and geometric properties of this space relevant to doing probability and statistics thereupon, and (iii) use these properties to establish the asymptotic behavior of a generalized notion of an empirical mean under sampling from a distribution supported on this space. Our results rely on a combination of tools from geometry, probability theory and statistical shape analysis. In particular, the lack of vertex labeling necessitates working with a quotient space modding out permutations of labels. This results in a nontrivial geometry for the space of unlabeled networks, which in turn is found to have important implications on the types of probabilistic and statistical results that may be obtained and the techniques needed to obtain them.

Joshua Cape, Minh Tang, Carey E. Priebe.

Source: The Annals of Statistics, Volume 47, Number 5, 2405--2439.

Abstract:
The singular value matrix decomposition plays a ubiquitous role throughout statistics and related fields. Myriad applications including clustering, classification, and dimensionality reduction involve studying and exploiting the geometric structure of singular values and singular vectors. This paper provides a novel collection of technical and theoretical tools for studying the geometry of singular subspaces using the two-to-infinity norm. Motivated by preliminary deterministic Procrustes analysis, we consider a general matrix perturbation setting in which we derive a new Procrustean matrix decomposition. Together with flexible machinery developed for the two-to-infinity norm, this allows us to conduct a refined analysis of the induced perturbation geometry with respect to the underlying singular vectors even in the presence of singular value multiplicity. Our analysis yields singular vector entrywise perturbation bounds for a range of popular matrix noise models, each of which has a meaningful associated statistical inference task. In addition, we demonstrate how the two-to-infinity norm is the preferred norm in certain statistical settings. Specific applications discussed in this paper include covariance estimation, singular subspace recovery, and multiple graph inference. Both our Procrustean matrix decomposition and the technical machinery developed for the two-to-infinity norm may be of independent interest.

Nixon, Geoffrey Owen, 1921-2011.

Georgia is one of four states that doesn't have a hate crime law. Arbery's killing has reignited calls for legislation.

Miguel de Carvalho, Garritt L. Page, Bradley J. Barney.

Source: Bayesian Analysis, Volume 14, Number 4, 1013--1036.

Abstract:
We provide a geometric interpretation to Bayesian inference that allows us to introduce a natural measure of the level of agreement between priors, likelihoods, and posteriors. The starting point for the construction of our geometry is the observation that the marginal likelihood can be regarded as an inner product between the prior and the likelihood. A key concept in our geometry is that of compatibility, a measure which is based on the same construction principles as Pearson correlation, but which can be used to assess how much the prior agrees with the likelihood, to gauge the sensitivity of the posterior to the prior, and to quantify the coherency of the opinions of two experts. Estimators for all the quantities involved in our geometric setup are discussed, which can be directly computed from the posterior simulation output. Some examples are used to illustrate our methods, including data related to on-the-job drug usage, midge wing length, and prostate cancer.

Marcos Oliveira Prates, Renato Martins Assunção, Erica Castilho Rodrigues.

Source: Bayesian Analysis, Volume 14, Number 2, 623--647.

Abstract:
Spatial confounding between the spatial random effects and fixed effects covariates has been recently discovered and showed that it may bring misleading interpretation to the model results. Techniques to alleviate this problem are based on decomposing the spatial random effect and fitting a restricted spatial regression. In this paper, we propose a different approach: a transformation of the geographic space to ensure that the unobserved spatial random effect added to the regression is orthogonal to the fixed effects covariates. Our approach, named SPOCK, has the additional benefit of providing a fast and simple computational method to estimate the parameters. Also, it does not constrain the distribution class assumed for the spatial error term. A simulation study and real data analyses are presented to better understand the advantages of the new method in comparison with the existing ones.

Roderick J. Little.

Source: Statistical Science, Volume 34, Number 4, 580--583.

Anna L. Smith, Dena M. Asta, Catherine A. Calder.

Source: Statistical Science, Volume 34, Number 3, 428--453.

Abstract:
We review the class of continuous latent space (statistical) models for network data, paying particular attention to the role of the geometry of the latent space. In these models, the presence/absence of network dyadic ties are assumed to be conditionally independent given the dyads’ unobserved positions in a latent space. In this way, these models provide a probabilistic framework for embedding network nodes in a continuous space equipped with a geometry that facilitates the description of dependence between random dyadic ties. Specifically, these models naturally capture homophilous tendencies and triadic clustering, among other common properties of observed networks. In addition to reviewing the literature on continuous latent space models from a geometric perspective, we highlight the important role the geometry of the latent space plays on properties of networks arising from these models via intuition and simulation. Finally, we discuss results from spectral graph theory that allow us to explore the role of the geometry of the latent space, independent of network size. We conclude with conjectures about how these results might be used to infer the appropriate latent space geometry from observed networks.

[London?], [199-?]

The rendering builds on decades of data that dates back to the Apollo missions, which happened some fifty years ago

The Beatles guitarist visited his sister in southern Illinois just months before he'd become world famous

This paper studies the relationship between bank geographic complexity and risk. We use a unique dataset of 96 bank holding companies around the world to measure the geographic dispersion of their affiliates. We study how this dispersion interacts with economic and regulatory conditions to affect the riskiness of the bank.

Discover the real George Washington through his restored home and gardens, over 1,000 artifacts, and an immersive Revolutionary War "snow" experience

Late Thursday, Georgia father and son Gregory McMichael and Travis McMichael were arrested in connection with the death of Ahmaud Arbery, a 25-year-old black man.

A 20-year-old man, who suffered from addictions and domestic violence, accepted Christ into his life during the OM Mexico July outreach in Huatulco, Oaxaca.

OM EAST responds to the need for Christian books in the Georgian language.

OM EAST shares about a significant event in the Georgian church: OM EAST’s publication of the Right Choices Bible.

WHILE almost every athlete has been affected by the global shutdown of sport, it is perhaps the old and the young who are feeling it the most.

A PUBLIC health professor has warned that the Scottish Government’s strategy to escape the lockdown will encounter “a big problem” unless test results can be provided quicker.

IT’S strange the different things people took away from Theresa May’s teary goodbye in Downing Street yesterday.

The American politician John Nance Garner is better remembered for something he said rather than anything he did as Franklin Roosevelt’s vice-president.

The sight of Scottish ministers boarding flights to far-flung destinations in order to “sell Scotland to the world” has been a familiar one for more than half a century.

Readers have been quick to voice their opinion after it was reported that Nicola Sturgeon missed six emergency coronavirus Cobra meetings.

NICOLA Sturgeon could issue a change to the Scottish Government's policy on allowing outdoor exercise over the weekend - after Wales indicated the guidance will be relaxed from Monday.

Dougherty County, a largely black school district in an region heavily affected by coronavirus, is no longer subject to desegregation orders first imposed in 1963.

George Forfar: An appreciation

WE should be wary of comparing the crisis of war with the crisis of coronavirus, but the 75th anniversary of VE Day is a reminder of what a national emergency can do to a leader. It can reveal their weaknesses and end their career, or it can highlight the qualities and skills that are needed in a time of trouble.

Little is known about the epidemiology and pathogenicity of Clostridium difficile infection among children, particularly those aged ≤3 years in whom colonization is common and pathogenicity uncertain.

Young children, 1 to 3 years of age, had the highest Clostridium difficile infection incidence. Considering that clinical presentation, outcomes, and disease severity were similar across age groups, C difficile infection in the youngest age group likely represents true disease and not asymptomatic colonization. (Read the full article)

Individuals with DiGeorge syndrome (DGS) have varying degrees of immunodeficiency. All are susceptible to vaccine-preventable infections with serious complications. Although live vaccines are generally contraindicated in this population, limited evidence suggests that they may be effective and safe for select individuals.

Many individuals with DGS received live vaccines despite having a known diagnosis. Adverse events following live immunizations were typically minor and self-limited, suggesting that live vaccines may be considered for patients with DGS who exhibit mild-to-moderate immunosuppression. (Read the full article)

Prescribing patterns in the US pediatric population are changing but not uniformly. A detailed examination of prescription variation is needed to better understand pharmacotherapy of children and to inform future exploration of the causes and consequences of diverse practices.

We examine pediatric pharmacotherapy and quantify payer type differences and small geographic area variation. Substantial payer-type differences and regional variations were found, likely reflecting local practice cultures. Variation was greatest for medications used in situations of diagnostic and therapeutic uncertainty. (Read the full article)

Parent refusal and delay of childhood vaccines has increased in recent years and is believed to cluster in communities. Such clustering could pose public health risks and barriers to achieving quality benchmarks for immunization coverage.

We found that underimmunization and vaccine refusal cluster geographically. Spatial scan analysis may be a useful tool to identify locations where clinicians may face challenges to achieving benchmarks for immunization coverage and that deserve special focus for interventions. (Read the full article)

At Battle High School in Columbia, Mo., students in geometry class have swapped their compasses and protractors for hammers and hard hats. And they're doing it for a good cause.

The Fujiflim X100 series, now entering its fifth generation, has always wowed with retro chic looks. The latest, the X100V, includes an all-new lens, an improved image sensor, and, for the first time, dust and splash protection for all-weather photography.

Within days of the University's shift to remote learning, faculty, instructors and teaching assistants in the Department of Geography moved 35 resident instruction courses into remote delivery mode to teach 1,947 students.

Attempted rape and child pornography charges also lead to prison A 25-year-old man who rented a room in a home in Georgetown was sentenced in Superior Court for beating and raping a woman who lived in the home, and for killing another man. In October 2016, Juan Tovar Cruz returned to the house on Wilson […]

Accreditation is the highest recognition afforded to museums in the United States.

Accreditation is the highest recognition afforded to museums in the United States.

Program explores Washington’s 110 Rules of Civility and Decent Behavior and discusses how they were practiced by subsequent American presidents together with their relevance to contemporary American politics.

Dover, DE – Just in time for the holidays, the happiest season of all will now also be the “hoppiest” with the addition of four new craft breweries to the Delaware on Tap mobile app. Each location offers a unique atmosphere and special take on the brewmaster’s art. They bring the number of craft breweries, wineries, […]

Geometry Global, WPP group’s shopper marketing and brand activation agency, is working towards devising communication that fits the non-linear, omnichannel shopping behaviour of consumers.

"Rupert Grint and Georgia Groome are delighted to confirm the birth of their baby girl," the couple's representative said in a statement

With the passing of former State Representative V. George Carey on September 11, 2016 Governor Markell has ordered the American and Delaware flags at state buildings and facilities be flown at half-staff beginning Tuesday morning, September 13th as a mark of respect for Representative Carey and his service to Delaware. Representative Carey faithfully served the […]