The importance of the dispersion parameter in counts occurring in toxicology, biology, clinical medicine, epidemiology, and other similar studies is well known. A couple of procedures for the construction of confidence intervals (CIs) of the dispersion parameter have been investigated, but...

Extra-dispersion (overdispersion or underdispersion) is a common phenomenon in practice when the variance of count data differs from that of a Poisson model. This can arise when the data come from different subpopulations or when the assumption of independence is violated. This paper develops a...

In many clinical trials and epidemiological studies, comparing the mean count response of an exposed group to a control group is often of interest. This type of data is often over-dispersed with respect to Poisson variation, and previous studies usually compared groups using confidence intervals...

In this note it is shown that the minimum bias non-negative minimum norm quadratic estimator of a variance component in a general variance components model considered by Hartung (1981) can be used to obtain estimators which consider minimizing weighted Euclidean norm considered by C.R. Rao...

The Fisherian prescription of reporting P-values as a summary of a result, as compared to the Neyman-Pearson system of acceptance or rejection of a null hypothesis, is more common in applied science. This popularity is largely due to the fact that the P-value provides a more complete, meaningful...