355 citations · 2.6k across the 82 of their papers we have counts for
5 papers · 1 filter
A comparison of methods for Poisson regression in the presence of background
Massimiliano Bonamente, Vinay Kashyap, Xiaoli Li +1
This paper provides a statistical analysis of three common methods of regression for Poisson data in the presence of Poisson background, namely the joint fit with two parametric mo…
Making high-order asymptotics practical: correcting goodness-of-fit test for astronomical count data
Xiaoli Li, Yang Chen, Xiao-Li Meng +3
The C statistic is a widely used likelihood-ratio statistic for model fitting and goodness-of-fit assessments with Poisson data in high-energy physics and astrophysics. Although it…
Properties and approximations of a Bessel distribution for data science applications
Massimiliano Bonamente
This paper presents properties and approximations of a random variable based on the zero-order modified Bessel function that results from the compounding of a zero-mean Gaussian wi…
Linear regression for Poisson count data: A new semi-analytical method with applications to COVID-19 events
M. Bonamente
This paper presents the application of a new semi-analytical method of linear regression for Poisson count data to COVID-19 events. The regression is based on the Bonamente and Spe…
A semi-analytical solution to the maximum likelihood fit of Poisson data to a linear model using the Cash statistic
Massimiliano Bonamente, David Spence
[ABRIDGED] The Cash statistic, also known as the C stat, is commonly used for the analysis of low-count Poisson data, including data with null counts for certain values of the inde…