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We present a joint copula-based model for insurance claims and sizes. It uses bivariate copulae to accommodate for the dependence between these quantities. We derive the general distribution of the policy loss without the restrictive…

统计理论 · 数学 2012-09-25 Nicole Kraemer , Eike C. Brechmann , Daniel Silvestrini , Claudia Czado

This paper explores improvements in prediction accuracy and inference capability when allowing for potential correlation in team-level random effects across multiple game-level responses from different assumed distributions. First-order and…

应用统计 · 统计学 2019-03-01 Jennifer E. Broatch , Andrew T. Karl

We are studying the problems of modeling and inference for multivariate count time series data with Poisson marginals. The focus is on linear and log-linear models. For studying the properties of such processes we develop a novel conceptual…

统计方法学 · 统计学 2017-04-10 Paul Doukhan , Konstantinos Fokianos , Bård Støve , Dag Tjøstheim

We propose generalized additive partial linear models for complex data which allow one to capture nonlinear patterns of some covariates, in the presence of linear components. The proposed method improves estimation efficiency and increases…

统计理论 · 数学 2014-05-26 Li Wang , Lan Xue , Annie Qu , Hua Liang

There is a growing need for flexible general frameworks that integrate individual-level data with external summary information for improved statistical inference. External information relevant for a risk prediction model may come in…

统计方法学 · 统计学 2023-04-11 Tian Gu , Jeremy M. G. Taylor , Bhramar Mukherjee

We propose an approach for fitting linear regression models that splits the set of covariates into groups. The optimal split of the variables into groups and the regularized estimation of the regression coefficients are performed by…

统计方法学 · 统计学 2019-12-13 Anthony Christidis , Ruben Zamar , Laks V. S. Lakshmanan , Ezequiel Smucler

Poisson regression is a popular tool for modeling count data and is applied in a vast array of applications from the social to the physical sciences and beyond. Real data, however, are often over- or under-dispersed and, thus, not conducive…

应用统计 · 统计学 2010-11-10 Kimberly F. Sellers , Galit Shmueli

Non-random sample selection is a commonplace amongst many empirical studies and it appears when an output variable of interest is available only for a restricted non-random sub-sample of data. We introduce an extension of the generalized…

统计理论 · 数学 2015-08-18 M. Wojtyś , G. Marra

The generalized linear model is widely used in all areas of applied statistics and while correct asymptotic inference can be achieved under misspecification of the distributional assumptions, a correctly specified mean structure is crucial…

统计方法学 · 统计学 2015-07-07 Klaus K. Holst

Generalized additive models for location, scale and shape (GAMLSS) are a popular extension to mean regression models where each parameter of an arbitrary distribution is modelled through covariates. While such models have been developed for…

统计方法学 · 统计学 2024-12-02 Lucas Kock , Nadja Klein

This paper presents a novel framework for evaluating players in association football (soccer). Our method uses possession sequences, i.e. sequences of consecutive on-ball actions, for deriving estimates for player strengths. On the surface,…

应用统计 · 统计学 2024-08-13 Robert Bajons , Kurt Hornik

In this paper we build a joint model which can accommodate for binary, ordinal and continuous responses, by assuming that the errors of the continuous variables and the errors underlying the ordinal and binary outcomes follow a multivariate…

统计方法学 · 统计学 2024-11-06 Laura Vana-Gür , Rainer Hirk

Diagnostic test accuracy studies typically report the number of true positives, false positives, true negatives and false negatives. There usually exists a negative association between the number of true positives and true negatives,…

统计方法学 · 统计学 2015-11-06 Aristidis K. Nikoloulopoulos

Motivated by challenges in the analysis of biomedical data and observational studies, we develop statistical boosting for the general class of bivariate distributional copula regression with arbitrary marginal distributions, which is suited…

统计方法学 · 统计学 2024-03-05 Guillermo Briseño Sanchez , Nadja Klein , Hannah Klinkhammer , Andreas Mayr

We propose a novel framework for fitting additive quantile regression models, which provides well calibrated inference about the conditional quantiles and fast automatic estimation of the smoothing parameters, for model structures as…

统计方法学 · 统计学 2020-03-13 M. Fasiolo , S. N. Wood , M. Zaffran , R. Nedellec , Y. Goude

Deciding which predictors to use plays an integral role in deriving statistical models in a wide range of applications. Motivated by the challenges of predicting events across a telecommunications network, we propose a semi-automated, joint…

统计方法学 · 统计学 2020-01-10 Aaron Lowther , Paul Fearnhead , Matthew Nunes , Kjeld Jensen

The Generalized Additive Model (GAM) is a powerful tool and has been well studied. This model class helps to identify additive regression structure. Via available test procedures one may identify the regression structure even sharper if…

统计方法学 · 统计学 2020-09-11 Rong Liu , Wolfgang Karl Härdle

Quantile regression (QR) can be used to describe the comprehensive relationship between a response and predictors. Prior domain knowledge and assumptions in application are usually formulated as constraints of parameters to improve the…

统计计算 · 统计学 2023-05-15 Yongxin Liu , Peng Zeng

We propose a highly flexible distributional copula regression model for bivariate time-to-event data in the presence of right-censoring. The joint survival function of the response is constructed using parametric copulas, allowing for a…

统计方法学 · 统计学 2024-12-23 Guillermo Briseno-Sanchez , Nadja Klein , Andreas Groll , Andreas Mayr

We propose a new copula model that can be used with replicated spatial data. Unlike the multivariate normal copula, the proposed copula is based on the assumption that a common factor exists and affects the joint dependence of all…

应用统计 · 统计学 2016-12-08 Pavel Krupskii , Raphael Huser , Marc G. Genton