A unified approach to large-sample statistical methods is provided via a quadratic approximation. Various methods of estimation obtained by minimizing (or maximizing) an objective function, and those ...

In this paper we discuss improved likelihood ratio tests for both the parameters in the systematic component and the dispersion parameter in the class of dispersion models (Jørgensen, 1987a). General ...

An outlier is an observation that lies an abnormal distance from other values in a random sample from a population,” advises the Engineering Statistics Handbook. One of the standard approaches is to ...

Count data modelling occupies a central role in statistical applications across diverse disciplines including epidemiology, econometrics and engineering. Traditionally, the Poisson distribution has ...

Count data modelling comprises a suite of statistical techniques dedicated to analysing non-negative integer-valued observations. Such data often arise in a variety of contexts including epidemiology, ...