It is of considerable interest to forecast future mesothelioma mortality. No measures for exposure are available so it is not straight forward to apply a doseresponse model. It is proposed to model the counts of deaths directly using a Poisson regression with an age-period-cohort structure, but without offset. Traditionally the age-period-cohort is viewed to suffer from an identification proble...

For testing goodness of fit it is very popular to use either the χ-statistic or G-statistics (information divergence). Asymptotically both are χ-distributed so an obvious question is which of the two statistics that has a distribution that is closest to the χ-distribution. Surprisingly, when there is only one degree of freedom it seems like the distribution of information divergence is much bet...

The economic geography of the United States’ energy landscape changed rapidly with domestic expansion of the natural gas sector. Recent work with smooth transition parameter models is extended to an establishment location model estimated using Poisson regression to test whether expansion of this sector, as evidenced by firm location decisions from 2005 to 2010, is characterized by different gro...

Jacobi brackets (a generalization of standard Poisson brackets in which Leibniz's rule is replaced by a weaker condition) are extended to brackets involving an arbitrary (even) number of functions. This new structure includes, as a particular case, the recently introduced generalized Poisson structures. The linear case on simple group man-ifolds is also studied and non-trivial examples (differe...

We show that the Lusin area function and essentially all of its realvariable generalizations are pointwise dominated by an “intrinsic” square function, and that this latter function is, for all practical purposes, no larger than a “generic” square function. 0. Introduction. The Lusin area (or “square”) function is a familiar object. If f : R 7→ R is such that u(x, y) ≡ Py ∗ f(x), the Poisson in...

The BRST structure of polynomial Poisson algebras is investigated. It is shown that Poisson algebras provide non trivial models where the full BRST recursive procedure is needed. Quadratic Poisson ∗Also at Centro de Estudios Cient́ıficos de Santiago, Casilla 16443, Santiago 9, Chile

This paper analyzes changes in child care arrangements of a sample of children from the Youth Cohort of the National Longitudinal Surveys over the first three years of life. The analysis indicates that turnover in child care arrangements is surprisingly low among this sample and is more common among families of higher socioeconomic status. Child care turnover is positively correlated with mothe...

In recent years infinite-dimensional stochastic analysis methods have been introduced in the field of estimation for Gaussian channels. The aim of this note is to study the application of similar methods to Poisson channels. In particular we show that the conditional mean estimator of a Poisson channel can be expressed as a discrete logarithmic Malliavin gradient of the likelihood-ratio of the ...

This paper examines the validity of some stylized statements that can be found in the actuarial literature about random effects models. Specifically, the actual meaning of the estimated parameters and the nature of the residual heterogeneity are discussed. A numerical illustration performed on a Belgian motor third party liability portfolio supports this discussion.