Zion National Park officials announced this weekend the park will be reopening May 13 "certain areas" of the park. Here's what that means.

Indianapolis is partnering with YMCA, At Your School and Early Learning Indiana to provide care for children of first responders at a discounted rate.

A fixture in IU's starting lineup for most of the past two years, Smith averaged 10.4 points and 5.2 rebounds per game in 2019-20.

A fixture in IU's starting lineup for most of the past two years, Smith averaged 10.4 points and 5.2 rebounds per game in 2019-20.

The Pacers didn't have their starting point guard for the last three games before the NBA went on hiatus, but he's able to play if/when it restarts.

The Vasquez family makes tamales to sell at the Carmel Farmer's Market

The Pacers didn't have their starting point guard for the last three games before the NBA went on hiatus, but he's able to play if/when it restarts.

An unseen object is found to be lurking in a double-star system a mere 1,000 light-years from Earth.

There’s no better way to celebrate Mother’s Day than becoming a mom for the first time on that very day.

1. Virat Kohli shares a cuddly throwback photo with Anushka Sharma from their swiss vacay and we are in awe  PINKVILLA
2. Virat, Anushka donate Rs 5L each for Mumbai police welfare  Hindustan Times
3. Virat Kohli, Anushka Sharma contribute 10 lakhs to Welfare of Mumbai Police Personnel - Republic World  Republic World
4. Virat Kohli shares an unmissable throwback picture with wife Anushka Sharma from their Swiss vacation  Times of India
5. Anushka Sharma, Virat Kohli kiss and cuddle in throwback pic from a snowy vacation  Hindustan Times
6. View Full coverage on Google News

In an emotional interview with TMZ, the comedian said she canceled her show there because of the state's attempt to, in effect, ban abortion.

The reality TV star is a wizard at keeping the spotlight exactly where she wants it.

Hear about travel to Bucharest as the Amateur Traveler talks to Wandering Earl about visiting and living in that city. Earl calls Bucharest one of the most under-rated cities in all of Europe, certainly eastern Europe.

'Hollywood' actor Samara Weaving lets us in on all of the movies and television she's been watching during quarantine.   Read more...

Carol Rees Parrish
Oct 1, 2007; 20:231-234
Nutrition FYI

Hubbard asks: Can we design a more effective plan, in case of a next time?

REGGAE ARTISTE Isha Blender is still coming to terms with the loss of her son, Josiah, on January 5, a mere two days after she celebrated her birthday. The daughter of legendary crooner Everton Blender said the death of a child can be one of the...

The first Hall of Famer to join the Astros at Spring Training is Craig Biggio, who was in uniform for morning workouts on Tuesday and will remain with the team throughout the week.

Getting feedback from people who use NHS services is essential to assessing their value - and improving their quality. Hospitals and general practices widely post information about patient's satisfaction with their services on their websites, but approach tells us little about how feedback changes things on the ground . In this podcast, James...

The ADA on March 20 sent out a Legislative Issues Alert to dentists, assuring them that the Association continues to lobby on their behalf in response to the Coronavirus Aid, Relief and Economic Security Act.

The ADA is calling on dentists everywhere to contact their legislators today ahead of the Senate’s vote on the Coronavirus Aid, Relief and Economic Security Act.

As the Senate works to pass a stimulus package aimed at granting relief to the millions of Americans affected by the COVID-19 pandemic, the ADA is thanking dentists across the nation for making their voices heard in Washington on that same legislation.

Following several days of discussions, legislators reached a deal early March 25 on a $2 trillion stimulus package aimed at helping the people, states and businesses devastated by the coronavirus pandemic.

Posterior multiunit zirconia-ceramic restorations are slightly more susceptible to chipping of the veneering ceramic than metal-ceramic restorations, but they are considered a reliable treatment in the medium term, according to a systematic review and meta-analysis published in the April issue of The Journal of the American Dental Association.

The ADA sent out an Issues Alert March 25 from ADA President Chad P. Gehani following the Senate's passing of a $2 trillion stimulus package to help the people, states and businesses nationwide devastated by the coronavirus pandemic.

The House passed a $2 trillion stimulus package March 27 aimed at helping the people, states and businesses nationwide devastated by the coronavirus pandemic that was later signed into law by President Donald Trump.

The ADA, Organized Dentistry Coalition, and many state dental associations are asking the U.S. Department of Health and Human Services and Centers for Medicare & Medicaid Services to release funding from the Coronavirus Aid, Relief and Economic Security Act Provider Relief Fund to assist dental Medicaid providers.

Michael Bublé postponed his "An Evening With" tour to 2021 due to the coronavirus pandemic.

Netflix shared a premiere date and teaser trailer for its "Baby-Sitters Club" series, based on the Ann M. Martin book series.

"This is a complex and stressful time in our society and the mental health and wellness of our Big Ten family is a critical component of our focus."

Sleep deprivation -- Anecdotes.

[Wien] : [publisher not identified], 1860.

[Dublin] : National Art Union for Ireland, [between 1847 and 1851?]

Pac-12 Networks' Ashley Adamson speaks with former Arizona State women's basketball player Michelle Tom, who is now a doctor treating COVID-19 patients Winslow Indian Health Care Center and Little Colorado Medical Center in Eastern Arizona.

Alexandre Mösching, Lutz Dümbgen.

Source: Electronic Journal of Statistics, Volume 14, Number 1, 24--49.

Abstract:
We consider bivariate observations $(X_{1},Y_{1}),ldots,(X_{n},Y_{n})$ such that, conditional on the $X_{i}$, the $Y_{i}$ are independent random variables. Precisely, the conditional distribution function of $Y_{i}$ equals $F_{X_{i}}$, where $(F_{x})_{x}$ is an unknown family of distribution functions. Under the sole assumption that $xmapsto F_{x}$ is isotonic with respect to stochastic order, one can estimate $(F_{x})_{x}$ in two ways: (i) For any fixed $y$ one estimates the antitonic function $xmapsto F_{x}(y)$ via nonparametric monotone least squares, replacing the responses $Y_{i}$ with the indicators $1_{[Y_{i}le y]}$. (ii) For any fixed $eta in (0,1)$ one estimates the isotonic quantile function $xmapsto F_{x}^{-1}(eta)$ via a nonparametric version of regression quantiles. We show that these two approaches are closely related, with (i) being more flexible than (ii). Then, under mild regularity conditions, we establish rates of convergence for the resulting estimators $hat{F}_{x}(y)$ and $hat{F}_{x}^{-1}(eta)$, uniformly over $(x,y)$ and $(x,eta)$ in certain rectangles as well as uniformly in $y$ or $eta$ for a fixed $x$.

Benjamin Colling, Ingrid Van Keilegom.

Source: Electronic Journal of Statistics, Volume 14, Number 1, 769--800.

Abstract:
Consider the following semiparametric transformation model $Lambda_{ heta }(Y)=m(X)+varepsilon $, where $X$ is a $d$-dimensional covariate, $Y$ is a univariate response variable and $varepsilon $ is an error term with zero mean and independent of $X$. We assume that $m$ is an unknown regression function and that ${Lambda _{ heta }: heta inTheta }$ is a parametric family of strictly increasing functions. Our goal is to develop two new estimators of the transformation parameter $ heta $. The main idea of these two estimators is to minimize, with respect to $ heta $, the $L_{2}$-distance between the transformation $Lambda _{ heta }$ and one of its fully nonparametric estimators. We consider in particular the nonparametric estimator based on the least-absolute deviation loss constructed in Colling and Van Keilegom (2019). We establish the consistency and the asymptotic normality of the two proposed estimators of $ heta $. We also carry out a simulation study to illustrate and compare the performance of our new parametric estimators to that of the profile likelihood estimator constructed in Linton et al. (2008).

Guangyu Zhu, Zhihua Su.

Source: The Annals of Statistics, Volume 48, Number 1, 161--182.

Abstract:
Sparse partial least squares (SPLS) is widely used in applied sciences as a method that performs dimension reduction and variable selection simultaneously in linear regression. Several implementations of SPLS have been derived, among which the SPLS proposed in Chun and Keleş ( J. R. Stat. Soc. Ser. B. Stat. Methodol. 72 (2010) 3–25) is very popular and highly cited. However, for all of these implementations, the theoretical properties of SPLS are largely unknown. In this paper, we propose a new version of SPLS, called the envelope-based SPLS, using a connection between envelope models and partial least squares (PLS). We establish the consistency, oracle property and asymptotic normality of the envelope-based SPLS estimator. The large-sample scenario and high-dimensional scenario are both considered. We also develop the envelope-based SPLS estimators under the context of generalized linear models, and discuss its theoretical properties including consistency, oracle property and asymptotic distribution. Numerical experiments and examples show that the envelope-based SPLS estimator has better variable selection and prediction performance over the SPLS estimator ( J. R. Stat. Soc. Ser. B. Stat. Methodol. 72 (2010) 3–25).

Qiyang Han, Jon A. Wellner.

Source: The Annals of Statistics, Volume 47, Number 4, 2286--2319.

Abstract:
We study the performance of the least squares estimator (LSE) in a general nonparametric regression model, when the errors are independent of the covariates but may only have a $p$th moment ($pgeq1$). In such a heavy-tailed regression setting, we show that if the model satisfies a standard “entropy condition” with exponent $alphain(0,2)$, then the $L_{2}$ loss of the LSE converges at a rate [mathcal{O}_{mathbf{P}}igl(n^{-frac{1}{2+alpha}}vee n^{-frac{1}{2}+frac{1}{2p}}igr).] Such a rate cannot be improved under the entropy condition alone. This rate quantifies both some positive and negative aspects of the LSE in a heavy-tailed regression setting. On the positive side, as long as the errors have $pgeq1+2/alpha$ moments, the $L_{2}$ loss of the LSE converges at the same rate as if the errors are Gaussian. On the negative side, if $p<1+2/alpha$, there are (many) hard models at any entropy level $alpha$ for which the $L_{2}$ loss of the LSE converges at a strictly slower rate than other robust estimators. The validity of the above rate relies crucially on the independence of the covariates and the errors. In fact, the $L_{2}$ loss of the LSE can converge arbitrarily slowly when the independence fails. The key technical ingredient is a new multiplier inequality that gives sharp bounds for the “multiplier empirical process” associated with the LSE. We further give an application to the sparse linear regression model with heavy-tailed covariates and errors to demonstrate the scope of this new inequality.

The military is preparing to deploy to the region to try to stop illegal logging and mining.

New research indicates that Iron Age Britons venerated brown hares and chickens long before modern Easter celebrations

We’re really, really sorry

As New Brunswick's economy slowly opens up, the province's daycares are waiting for the call to action, says the head of the group that represents them. 

Some New Brunswickers will be heading back to work next week, but their regular childcare facilities may not be available. 

Speech by Mr Mugur Isărescu, Governor of the National Bank of Romania, Bucharest, 29 April 2020.

Japan’s Yuzuru Hanyu believes he was born to figure skate, but that doesn’t mean he’s immune to pressure and expectations.

Florida point guard Andrew Nembhard, who ranked second in the Southeastern Conference in assists last season, has declared for the NBA draft for the second consecutive year.