DISCRETE-TIME STORAGE MODELS WITH NEGATIVE BINOMIAL INFLOW

Discrete-time Storage Models with Negative Binomial Inflow

The present paper studies a discrete-time storage process with discrete states. This model has the inflow which is defined as independent random variables with a common negative binomial distribution and has the certain outflow discipline. Reversibility and quasi-reversibility for the process are investigated and the reversible measure is given. And thus, under a certain condition, it is shown ...

Estimation of Count Data using Bivariate Negative Binomial Regression Models

Abstract Negative binomial regression model (NBR) is a popular approach for modeling overdispersed count data with covariates. Several parameterizations have been performed for NBR, and the two well-known models, negative binomial-1 regression model (NBR-1) and negative binomial-2 regression model (NBR-2), have been applied. Another parameterization of NBR is negative binomial-P regression mode...

Negative binomial additive models.

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...

Negative Binomial Loglinear Mixed Models

Information and Estimation over Binomial and Negative Binomial Models

In recent years, a number of results have been developed which connect information measures and estimation measures under various models, including, predominently, Gaussian and Poisson models. More recent results due to Taborda and Pérez-Cruz relate the relative entropy to certain mismatched estimation errors in the context of binomial and negative binomial models, where, unlike in the case of ...