Abstrac t . Some simple models are introduced which may be used for modelling or generating sequences of dependent discrete random variables with generalized Poisson marginal distribution. Our approach for building these models is similar to that of the Poisson ARMA processes considered by Al-Osh and Alzaid (1987, J. Time Ser. Anal., 8, 261-275; 1988, Statist. Hefte, 29, 281-300) and McKenzie (...

We derive semiparametric methods for estimating and testing treatment effects when censored recurrent event data are available over multiple periods. These methods are based on estimating functions motivated by a working "mixed-Poisson" assumption under which conditioning can eliminate subject-specific random effects. Robust pseudoscore test statistics are obtained via "sandwich" variance estim...

We explore the use of a class of random probability measures, which we refer to as the Q class, for Bayesian nonparametric mixture modeling. This class of processes encompasses both the normalised generalised gamma and the two-parameter Poisson-Dirichlet processes allowing us to comparatively study the inferential advantages of these two processes. We propose novel marginal and conditional char...

The applied econometrics of bivariate count data predominantly focus on a bivariate Poisson density described by Johnson and Kotz. The main limitation is that this bivariate distribution excludes zero and negative correlation. This paper introduces a new model which allows for a more exible correlation structure. To this end the joint density is decomposed by means of the multiplication rule in...

This paper considers some fundamental questions concerning marginally trapped surfaces, or apparent horizons, in Cauchy data sets for the Einstein equation. An area estimate for outermost marginally trapped surfaces is proved. The proof makes use of an existence result for marginal surfaces, in the presence of barriers, curvature estimates, together with a novel surgery construction for margina...

This research combined three distinctly unique and separate measures of corruption into one corruption factor, so as to yield a robust measurement approach to further understand the political and socioeconomic variables of corruption. The findings show that a strong significant variable in measuring corruption is the personal marginal-tax rate, especially in hierarchical based nations. The high...