RATIONALE there are several well-developed statistical methods for analysing recurrent events. Although there are guidelines for reporting the design and methodology of randomised controlled trials (RCTs), analysis guidelines do not exist to guide the analysis for RCTs with recurrent events. Application of statistical methods that do not account for recurrent events may provide erroneous result...

The generalized additive model is extended to handle negative binomial responses. The extension is complicated by the fact that the negative binomial distribution has two parameters and is not in the exponential family. The methodology is applied to data involving DNA adduct counts and smoking variables among ex-smokers with lung cancer. A more detailed investigation is made of the parametric r...

Counting outcomes such as days of physical activity or servings of fruits and vegetables often have distributions that are highly skewed toward the right with a preponderance of zeros, posing analytical challenges. This paper demonstrates how such outcomes may be analyzed with several modifications to Poisson regression. Five regression models 1) Poisson, 2) overdispersed Poisson, 3) negative b...

The FBI has reported the number of monthly firearm background checks in every state since November 1998. This article uses data on background checks at the state level to explore the relationship between guns and crime. The background checks capture an individual s intention to purchase a firearm and explain 96% of the variation in gun manufacturing at a national level. Fixed effect negative bi...

Since the introduction of binomial state as an intermediate state, di erent intermediate states have been proposed. Di erent nonclassical e ects have also been reported in these intermediate states. But till now higher order antibunching or higher order subpoissonian photon statistics is predicted only in one type of intermediate state, namely shadowed negative binomial state. Recently we have ...

Abstract We start by studying first-order autoregressive negative binomial (NBD) processes. We then compare maximum likelihood and moment based estimators of the parameters of the NBD INAR(1) model and show that the degree of dependence has significant effect on the quality of the estimators. Finally, we construct NBD processes with long-range dependence by using the NBD INAR(1) processes as ba...

Data Dinas Kesehatan Kabupaten Probolinggo tahun 2020 menyatakan Angka Kematian Bayi (AKB) di sebesar 8,11. tersebut tergolong tinggi jika dibandingkan dengan AKB Provinsi Jawa Timur 6,3. Sehingga perlu dilakukan analisis untuk mengetahui faktor-faktor yang mempengaruhi jumlah kematian bayi 2020. Regresi poisson merupakan sesuai dalam pemodelan kasus data diskrit. Namun regresi mensyaratkan kon...