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We generalize a previously proposed approach for nonlinear Granger causality of time series, based on radial basis function. The proposed model is not constrained to be additive in variables from the two time series and can approximate any…

无序系统与神经网络 · 物理学 2009-11-11 Daniele Marinazzo , Mario Pellicoro , Sebastiano Stramaglia

We propose Dirichlet Process mixtures of Generalized Linear Models (DP-GLM), a new method of nonparametric regression that accommodates continuous and categorical inputs, and responses that can be modeled by a generalized linear model. We…

机器学习 · 统计学 2010-07-16 Lauren A. Hannah , David M. Blei , Warren B. Powell

Generalized linear models are flexible tools for the analysis of diverse datasets, but the classical formulation requires that the parametric component is correctly specified and the data contain no atypical observations. To address these…

统计方法学 · 统计学 2023-04-21 Ioannis Kalogridis , Gerda Claeskens , Stefan Van Aelst

We introduce semiparametric Bayesian networks that combine parametric and nonparametric conditional probability distributions. Their aim is to incorporate the advantages of both components: the bounded complexity of parametric models and…

机器学习 · 计算机科学 2021-09-08 David Atienza , Concha Bielza , Pedro Larrañaga

This article discusses D-optimal Bayesian crossover designs for generalized linear models. Crossover trials with t treatments and p periods, for $t <= p$, are considered. The designs proposed in this paper minimize the log determinant of…

统计计算 · 统计学 2018-08-16 Satya Prakash Singh , Siuli Mukhopadhyay

Researchers are often interested in understanding the relationship between a set of covariates and a set of response variables. To achieve this goal, the use of regression analysis, either linear or generalized linear models, is largely…

Semiparametric models are useful in econometrics, social sciences and medicine application. In this paper, a new estimator based on least square methods is proposed to estimate the direction of unknown parameters in semi-parametric models.…

统计方法学 · 统计学 2023-03-10 Jinyue Han , Jun Wang , Wei Gao , Man-Lai Tang

In most models of the spread of disease over contact networks it is assumed that the probabilities per unit time of disease transmission and recovery from disease are constant, implying exponential distributions of the time intervals for…

物理与社会 · 物理学 2010-07-23 Brian Karrer , M. E. J. Newman

The absence of time-reversal symmetry is a fundamental property of many nonlinear time series. Here, we propose a new set of statistical tests for time series irreversibility based on standard and horizontal visibility graphs. Specifically,…

数据分析、统计与概率 · 物理学 2016-04-07 Jonathan F. Donges , Reik V. Donner , Jürgen Kurths

In this article, we introduce parallel-in-time methods for state and parameter estimation in general nonlinear non-Gaussian state-space models using the statistical linear regression and the iterated statistical posterior linearization…

统计计算 · 统计学 2023-04-06 Fatemeh Yaghoobi , Adrien Corenflos , Sakira Hassan , Simo Särkkä

Time series modeling for predictive purpose has been an active research area of machine learning for many years. However, no sufficiently comprehensive and meanwhile substantive survey was offered so far. This survey strives to meet this…

机器学习 · 计算机科学 2021-09-28 Fatoumata Dama , Christine Sinoquet

In Bayesian semi-parametric analyses of time-to-event data, non-parametric process priors are adopted for the baseline hazard function or the cumulative baseline hazard function for a given finite partition of the time axis. However, it…

统计方法学 · 统计学 2020-08-06 Yi Li , Sumi Seo , Kyu Ha Lee

How to deal with nonignorable response is often a challenging problem encountered in statistical analysis with missing data. Parametric model assumption for the response mechanism is often made and there is no way to validate the model…

统计方法学 · 统计学 2018-10-31 Masatoshi Uehara , Jae Kwang Kim

Often of primary interest in the analysis of multivariate data are the copula parameters describing the dependence among the variables, rather than the univariate marginal distributions. Since the ranks of a multivariate dataset are…

统计理论 · 数学 2014-03-13 Peter D. Hoff , Xiaoyue Niu , Jon A. Wellner

We consider the problem of constructing nonparametric undirected graphical models for high-dimensional functional data. Most existing statistical methods in this context assume either a Gaussian distribution on the vertices or linear…

统计理论 · 数学 2021-03-22 Eftychia Solea , Holger Dette

We propose new parametric frameworks of regression analysis with the conditional mode of a bounded response as the focal point of interest. Covariate effects estimation and prediction based on the maximum likelihood method under two new…

统计方法学 · 统计学 2020-06-22 Haiming Zhou , Xianzheng Huang

A defining feature of non-stationary systems is the time dependence of their statistical parameters. Measured time series may exhibit Gaussian statistics on short time horizons, due to the central limit theorem. The sample statistics for…

数据分析、统计与概率 · 物理学 2020-10-08 Rudi Schäfer , Sonja Barkhofen , Thomas Guhr , Hans-Jürgen Stöckmann , Ulrich Kuhl

Model averaging has demonstrated superior performance for ensemble forecasting in high-dimensional framework, its extension to incomplete datasets remains a critical but underexplored challenge. Moreover, identifying the parsimonious model…

统计方法学 · 统计学 2025-09-03 Wei Xiong , Dianliang Deng , Dehui Wang

The appropriateness of the Poisson model is frequently challenged when examining spatial count data marked by unbalanced distributions, over-dispersion, or under-dispersion. Moreover, traditional parametric models may inadequately capture…

统计方法学 · 统计学 2025-03-26 Mahsa Nadifar , Andriette Bekker , Mohammad Arashi , Abel Ramoelo

In this paper we propose a generalized Gaussian process concurrent regression model for functional data where the functional response variable has a binomial, Poisson or other non-Gaussian distribution from an exponential family while the…

统计方法学 · 统计学 2014-02-03 Bo Wang , Jian Qing Shi