Improving Upon Standard Estimators in Discrete Exponential Families with Applications to Poisson and Negative Binomial Cases

Fiducial Inference for Discrete Distributions: Binomial and Poisson Cases

Confidence Bounds & Intervals for Parameters Relating to the Binomial, Negative Binomial, Poisson and Hypergeometric Distributions With Applications to Rare Events

We present here by direct argument the classical Clopper-Pearson (1934) “exact” confidence bounds and corresponding intervals for the parameter p of the binomial distribution. The same arguments can be applied to derive confidence bounds and intervals for the negative binomial parameter p, for the Poisson parameter λ, for the ratio of two Poisson parameters, ρ = λ1/λ2, and for the parameter D o...

Poisson and (Negative) Binomial Confidence Bounds With Applications to Rare Event Probabilities

We present here by direct argument the classical Clopper-Pearson (1934) “exact” confidence bounds for the binomial or negative binomial parameter p, for the Poisson parameter λ, and for the ratio of two Poisson parameters, ρ = λ1/λ2. The bounds presented here are exact in the sense that their confidence level of covering the unknown parameters is at least the specified and targeted value γ, 0 <...

Zero inflated Poisson and negative binomial regression models: application in education

Background: The number of failed courses and semesters in students are indicatorsof their performance. These amounts have zero inflated (ZI) distributions. Using ZI Poisson and negative binomial distributions we can model these count data to find the associated factors and estimate the parameters. This study aims at to investigate the important factors related to the educational performance of ...

Negative binomial and mixed Poisson regression

A number of methods have been proposed for dealing with extra-Poisson variation when doing regression analysis of count data. This paper studies negative-binomial regression models and examines efficiency and robustness properties of inference procedures based on them. The methods are compared with quasilikelihood methods. RESUME Plusieurs mkthodes ont ktk propokes en vue de traiter le probltme...