Yu-Xiang Wang1,2 [email protected] James Sharpnack3 [email protected] Alexander J. Smola1,4 [email protected] Ryan J. Tibshirani1,2 [email protected] 1 Machine Learning Department, Carnegie Mellon University, Pittsburgh, PA 15213 2 Department of Statistics, Carnegie Mellon University, Pittsburgh, PA 15213 3 Mathematics Department, University of California at San Diego, La Jolla, CA 10280 ...

EPA’s research-based regulations have fostered significant strides in environmental improvement in the United States and inspired analogous endeavors around the globe. Notably, air quality has improved (https://gispub.epa.gov/air/trendsreport/2017/#highlights) over North America and Europe in recent decades, and China and India are making concerted efforts to protect the health of their citizen...

The estimation of a monotone trend that has been obscured by stationary fluctuations is considered and illustrated by global temperature anomalies. At an interior point, the rescaled isotonic estimators are shown to converge in distribution to Chernoff’s distribution under minimal conditions on the stationary errors; and two modifications for estimating the value at an end point are compared. T...