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

BACKGROUND Binary outcomes are common in prospective studies such as randomized controlled trials and cohort studies. Logistic regression is the most popular regression model for binary outcomes. Logistic regression yields an odds ratio that approximates the risk ratio when the risk of outcome is low. A consensus has been reached in an extensive argument in much of the literature that the risk ...

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.

Methods and Results-—Within the prospective Cardiac Arrest Registry to Enhance Survival (CARES), we identified children (age <18 years) with an OHCA from October 2005 to December 2013. Survival to hospital discharge by age (categorized as infants [0 to 1 year], younger children [2 to 7 years], older children [8 to 12 years], and teenagers [13 to 17 years]), sex, and race was assessed using modi...

We introduce a new truncation approach to extend earlier methods for proving consistency in nonparametric Bayesian regression problems to non-compact state spaces. We illustrate the approach by proving posterior consistency for a nonparametric Poisson regression model. The key step is separating points in the parameter space by constructing hypothesis tests with suitably small error rates; we d...

The Poisson distribution is often used as a standard probability model for data involving counts. Quite often, however, such datasets are not well fit by a Poisson model because they contain more zero counts than are compatible with the Poisson model. For these situations, a zero-inflated Poisson (ZIP) distribution is often proposed. This article addresses testing a Poisson versus a ZIP model, ...