While the Poisson distribution is a classical statistical model for count data, the distributional model hinges on the constraining property that its mean equal its variance. This text instead introduces the Conway-Maxwell-Poisson distribution and motivates its use in developing flexible...

In the literature, although many studies are describing the structural break in the linear regression model with time-series data, studies investigating this issue with cross-sectional data are limited. In this study, the performance evaluation of some approaches used to determine the structural...

Quadratic functions are often used in regression to infer the existence of an extremum in a relationship although tests of the location of the extremum are rarely performed. We investigate the construction of the following confidence intervals: Delta, Fieller, estimated first derivative,...

We propose marginal integration estimation and testing methods for the coefficients of varying coefficient multivariate regression model. Asymptotic distribution theory is developed for the estimation method which enjoys the same rate of convergence as univariate function estimation. For the...

We present a fundamentally unique method of nonparametric regression using clusters and test it against classically established methods. We compare two nonlinear regression estimation packages called ‘NNS', Viole (NNS: nonlinear nonparametric statistics, 2016), and ‘np', Hayfield and Racine...

It is well known that several high-breakdown procedures can produce robust estimates of linear-regression coefficients despite substantial contamination in the data. In practice, however, the estimators’ robustness tends to be affected by the value of R2 in the uncontaminated part of the...