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What is Statistics? Opinions vary. In fact, there is a continuous spectrum of attitudes toward statistics ranging from pure theoreticians, proving asymptotic efficiency and searching for most powerful tests, to wild practitioners, blindly…

Applications · Statistics 2016-03-17 Konstantin Zuev

State-space models have been widely used to model the dynamics of communicable diseases in populations of interest by fitting to time-series data. Particle filters have enabled these models to incorporate stochasticity and so can better…

Applications · Statistics 2022-05-17 Conor Rosato , John Harris , Jasmina Panovska-Griffiths , Simon Maskell

Although approximately 50% of medical school graduates today are women, female physicians tend to be underrepresented in senior positions, make less money than their male counterparts and receive fewer promotions. There is a growing body of…

Computation and Language · Computer Science 2022-06-02 Emmy Liu , Michael Henry Tessler , Nicole Dubosh , Katherine Mosher Hiller , Roger Levy

Starting from the dataset of the publication corpus of the APS during the period 1955-2009, we reconstruct the individual researchers trajectories, namely the list of the consecutive affiliations for each scholar. Crossing this information…

Physics and Society · Physics 2013-12-23 Floriana Gargiulo , Timoteo Carletti

These lecture notes were written for the course 18.657, High Dimensional Statistics at MIT. They build on a set of notes that was prepared at Princeton University in 2013-14 that was modified (and hopefully improved) over the years.

Statistics Theory · Mathematics 2023-10-31 Philippe Rigollet , Jan-Christian Hütter

Gender bias in computing is a hard problem that has resisted decades of research. One obstacle has been the absence of systematic data that might indicate when gender bias emerged in computing and how it has changed. This article presents a…

Computers and Society · Computer Science 2022-11-09 Thomas J Misa

This lecture note provides a self-contained introduction to Bayesian inference and Markov Chain Monte Carlo (MCMC) methods for parameter estimation in epidemic models. Using the classical Susceptible-Infectious-Recovered (SIR) compartmental…

Methodology · Statistics 2026-03-18 Augustine Okolie

These are notes of a series of lectures on sieves, presented during the Special Activity in Analytic Number Theory, at the Max-Planck Institute for Mathematics in Bonn, during the period January--June 2002.

Number Theory · Mathematics 2007-05-23 D. R. Heath-Brown

These are lecture notes for lectures at the Park City Math Institute, summer 2007. We cover aspects of the dimer model on planar, periodic bipartite graphs, including local statistics, limit shapes and fluctuations.

Probability · Mathematics 2009-10-19 Richard Kenyon

Sepsis accounts for more than 50% of hospital deaths, and the associated cost ranks the highest among hospital admissions in the US. Improved understanding of disease states, severity, and clinical markers has the potential to significantly…

Quantitative Methods · Quantitative Biology 2022-10-11 Chih-Hao Fang , Vikram Ravindra , Salma Akhter , Mohammad Adibuzzaman , Paul Griffin , Shankar Subramaniam , Ananth Grama

We calculate epidemic thresholds and investigate the dynamics of a disease in a networked metapopulation model. To study the specific role of mobility levels and network geometry, we utilize the SIR-Network model and consider a range of…

Physics and Society · Physics 2023-08-07 Haridas K. Das , Lucas M. Stolerman

In SIR-type epidemic models time derivative of prevalence $I$ can always be cast into the form $\dot{I}=(X-1)I$, where $X$ is the replacement number and recovery rate is normalized to one. Assuming $\dot{X}=f(X,I)$ for some smooth function…

Populations and Evolution · Quantitative Biology 2024-11-18 Florian Nill

These are notes for the course CS-172 I first taught in the Fall 1986 at UC Berkeley and subsequently at Boston University. The goal was to introduce the undergraduates to basic concepts of Theory of Computation and to provoke their…

Computational Complexity · Computer Science 2020-09-30 Leonid A. Levin

Recently, it has been shown that the transition rates of the illness-death model (IDM) for chronic conditions are related to the percentages of people in the states by a three-dimensional system of differential equations [Bri24]. The aim of…

Applications · Statistics 2025-02-05 Ralph Brinks

Joel L. Horowitz has made profound contributions to many areas in econometrics and statistics. These include bootstrap methods, semiparametric and nonparametric estimation, specification testing, nonparametric instrumental variables…

Econometrics · Economics 2025-02-19 Sokbae Lee

Stochastic epidemic models can estimate infection and removal rates, and derived quantities such as the basic reproductive number ($R_0$), when both infection and removal times are observed. In practice, however, removal times are often…

Methodology · Statistics 2026-03-24 Seth D. Temple , Jonathan Terhorst

Diabetes mellitus is a chronic metabolic disorder that has emerged as one of the major health problems worldwide due to its high prevalence and serious complications, which are pricey to manage. Effective management requires good glycemic…

Machine Learning · Computer Science 2024-07-01 Abolfazl Zarghani

Invited review given at special session on Digitizing the Sky at 1994 Summer AAS meeting, Minnesota.

Astrophysics · Physics 2009-10-22 Rosemary F. G. Wyse

Using the classical Susceptible-Infected-Recovered epidemiological model, an analytical formula is derived for the number of beds occupied by Covid-19 patients. The analytical curve is fitted to data in Belgium, France, New York City and…

Populations and Evolution · Quantitative Biology 2021-02-22 Gregory Kozyreff

Martha Euphemia Lofton Haynes was the first African American woman to receive a PhD in mathematics. She grew up in Washington DC, earned a bachelors degree in mathematics from Smith College in 1914, a masters in education from University of…

History and Overview · Mathematics 2017-03-06 Susan Kelly , Carly Shinners , Katherine Zoroufy