While the additive model is a popular nonparametric regression method, many of its theoretical properties are not well understood, especially when the back tting algorithm is used for computation of the the estimators. This article explores those properties when the additive model is tted by local polynomial regression. Su cient conditions guaranteeing the asymptotic existence of unique estimat...

This paper analyses results from an investigation into the determinants of biotechnology innovation in New Zealand using a comprehensive new dataset. The theoretical framework is based on a synthesis of hypotheses drawn from four strands of the innovation literature and the empirical work utilises Poisson regression methods. The data provides strong support for the idea that smaller enterprises...

background: in the case of sensitive questions such as number of alcoholics known, majority of respondents might give an answer of zero. poisson regression model (p) is the standard tool to analyze count data. however, p provides poor fit in the case of zero inflated counts, when over-dispersion exists. therefore, the questions to be addressed are to compare performance of alternative count reg...

The generalized Poisson regression model has been used to model dispersed count data. It is a good competitor to the negative binomial regression model when the count data is over-dispersed. Zero-inflated Poisson and zero-inflated negative binomial regression models have been proposed for the situations where the data generating process results into too many zeros. In this paper, we propose a z...

This paper presents a method for the evaluation of the compound Generalized Poisson distribution, based on the recursive evaluation of two other distributions.

Cohen’s kappa and weighted kappa statistics are the conventional methods used frequently in measuring agreement for categorical responses. In this paper, through the perspective of a generalized inverse, we propose an alternative general framework of the fixed-effects modeling of Cohen’s weighted kappa, proposed by Yang and Chinchilli 2011 . Properties of the proposed method are provided. Small...

We answer positively a question of Kaimanovich and Vershik from 1979, showing that the final configuration of lamps for simple random walk on the lamplighter group over Z (d ≥ 3) is the Poisson boundary. For d ≥ 5, this had been shown earlier by Erschler (2011). We extend this to walks of more general types on more general groups.

We present a novel phoneme-based student model for spelling training. Our model is data driven, adapts to the user and provides information for, e.g., optimal word selection. We describe spelling errors using a set of features accounting for phonemic, capitalization, typo, and other error categories. We compute the influence of individual features on the error expectation values based on previo...