Abstract: The Poisson-binomial probability density function (pdf) describes the numbers of successes in N independent trials, when the individual probabilities of ...

The record for most goals scored in a World Cup tournament is 172, but that could be broken by the time the group stages wrap ...

Abstract: In this paper, a comprehensive analytical approach is presented for modeling the counting statistics of active quenching and passive quenching single-photon avalanche diode (SPAD) detectors.

This project uses historical Fifa World Cup data, feature engineering, and trained Random Forest models to estimate the expected goals and create realistic score probabilities.

The word 'statistics' has two meanings—the use of numbers to describe whole patterns of activity (for example, baseball statistics), and the analytic methods that allow manipulation of such data. The ...

A team of astrophysicists has just published in Nature a finding that calls into question one of the pillars of modern ...

Final pre-match blend: market odds (de-vigged) 40% / ML ensemble 40% / Poisson 15% / form 5%. Per-target models (research-driven, all backtested on held-out 2025–26): Target Baseline New model Method ...

EL PAÍS’s statistical model predicts that Spain is the favorite but the 2010 champion only wins one out of every six times on our simulator. Check out our updated odds for each team ...

2018 Usage Attribution-Noncommercial-Share Alike 3.0 Topics RES.6-012, RES.6, probability, probability models, bayes rule, discrete random variables, continuous random variables, bernoulli process, ...

Log-linear Poisson models provide a principled framework for modeling such count data through covariate-dependent intensity functions. This study develops a Bayesian formulation of the Poisson ...