An Empirical Bayes Method for Chi-Squared Data
Sign Up to like & getrecommendations! Published in 2020 at "Journal of the American Statistical Association"
DOI: 10.1080/01621459.2020.1777137
Abstract: Abstract In a thought-provoking paper, Efron investigated the merit and limitation of an empirical Bayes method to correct selection bias based on Tweedie’s formula first reported in the study by Robbins. The exceptional virtue of… read more here.
Keywords: squared data; bayes method; empirical bayes; tweedie formula ... See more keywords
A new goodness-of-fit statistic and its application to 21-cm cosmology
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Cosmology and Astroparticle Physics"
DOI: 10.1088/1475-7516/2018/12/015
Abstract: The reduced chi-squared statistic is a commonly used goodness-of-fit measure, but it cannot easily detect features near the noise level, even when a large amount of data is available. In this paper, we introduce a… read more here.
Keywords: goodness fit; squared statistic; cosmology; chi squared ... See more keywords
Pearson’s chi-squared statistics: approximation theory and beyond
Sign Up to like & getrecommendations! Published in 2019 at "Biometrika"
DOI: 10.1093/biomet/asz020
Abstract: We establish an approximation theory for Pearson’s chi-squared statistics in situations where the number of cells is large, by using a high-dimensional central limit theorem for quadratic forms of random vectors. Our high-dimensional central limit… read more here.
Keywords: chi squared; squared statistics; chi; approximation theory ... See more keywords