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In this paper the integer-valued autoregressive model of order one, contaminated with additive or innovational outliers is studied in some detail. Moreover, parameter estimation is also addressed. Supposing that the time points of the…

Probability · Mathematics 2010-02-28 Matyas Barczy , Marton Ispany , Gyula Pap , Manuel Scotto , Maria Eduarda Silva

Copula-based time series models can model univariate and stationary time series in a flexible way by decomposing the joint distribution of consecutive observations into a copula and the stationary distribution. Implicitly this approach…

Methodology · Statistics 2026-03-24 Sven Pappert

For modeling the serial dependence in time series of counts, various approaches have been proposed in the literature. In particular, models based on a recursive, autoregressive-type structure such as the well-known integer-valued…

Methodology · Statistics 2025-07-16 Maxime Faymonville , Carsten Jentsch

This paper proposes a segregated temporal assembly recurrent (STAR) network for weakly-supervised multiple action detection. The model learns from untrimmed videos with only supervision of video-level labels and makes prediction of…

Computer Vision and Pattern Recognition · Computer Science 2018-11-20 Yunlu Xu , Chengwei Zhang , Zhanzhan Cheng , Jianwen Xie , Yi Niu , Shiliang Pu , Fei Wu

This paper considers a class of nonparametric autoregressive models with nonstationarity. We propose a nonparametric kernel test for the conditional mean and then establish an asymptotic distribution of the proposed test. Both the setting…

Statistics Theory · Mathematics 2009-11-20 Jiti Gao , Maxwell King , Zudi Lu , Dag Tjøstheim

This paper considers an extension of the linear non-Gaussian acyclic model (LiNGAM) that determines the causal order among variables from a dataset when the variables are expressed by a set of linear equations, including noise. In…

Machine Learning · Computer Science 2021-08-17 Joe Suzuki , Yusuke Inaoka

In this paper the asymptotic behavior of conditional least squares estimators of the autoregressive parameter for nonprimitive unstable integer-valued autoregressive models of order 2 (INAR(2)) is described.

Statistics Theory · Mathematics 2010-06-25 Matyas Barczy , Marton Ispany , Gyula Pap

We propose a novel approach to elicit the weight of a potentially non-stationary regressor in the consistent and oracle-efficient estimation of autoregressive models using the adaptive Lasso. The enhanced weight builds on a statistic that…

Methodology · Statistics 2024-07-23 Thilo Reinschlüssel , Martin C. Arnold

In this paper we propose a heterogeneous modeling framework which achieves individual-wise feature selection and individualized covariates' effects subgrouping simultaneously. In contrast to conventional model selection approaches, the new…

Methodology · Statistics 2019-06-11 Xiwei Tang , Fei Xue , Annie Qu

Interval-valued data receives much attention due to its wide applications in the fields of finance, econometrics, meteorology and medicine. However, most regression models developed for interval-valued data assume observations are mutually…

Applications · Statistics 2022-10-31 Tingting Huang

The paper introduces a novel topological method for prediction and modeling for a nonlinear time--series that exhibit recurring patterns. According to the model, global manifold of the reconstructed state--space can be approximated by a few…

Chaotic Dynamics · Physics 2017-11-21 Sajini Anand P S , Prabhakar G Vaidya

Community detection for time series without prior knowledge poses an open challenge within complex networks theory. Traditional approaches begin by assessing time series correlations and maximizing modularity under diverse null models.…

Social and Information Networks · Computer Science 2023-11-13 Marco Gregnanin , Johannes De Smedt , Giorgio Gnecco , Maurizio Parton

Estimating hidden processes from non-linear noisy observations is particularly difficult when the parameters of these processes are not known. This paper adopts a machine learning approach to devise variational Bayesian inference for such…

Machine Learning · Computer Science 2019-11-05 Komlan Atitey , Pavel Loskot , Lyudmila Mihaylova

This paper introduces a new biased estimator for the negative binomial regression model that is a generalization of Liu-type estimator proposed for the linear model in [12]. Since the variance of the maximum likelihood estimator (MLE) is…

Methodology · Statistics 2016-04-11 Yasin Asar

Autoregressive conditional duration (ACD) models are primarily used to deal with data arising from times between two successive events. These models are usually specified in terms of a time-varying conditional mean or median duration. In…

Methodology · Statistics 2021-09-10 Helton Saulo , Narayanaswamy Balakrishnan , Roberto Vila

Simulation models of complex dynamics in the natural and social sciences commonly lack a tractable likelihood function, rendering traditional likelihood-based statistical inference impossible. Recent advances in machine learning have…

Machine Learning · Statistics 2022-02-24 Joel Dyer , Patrick Cannon , Sebastian M Schmon

We introduce, for the first time, a new class of Birnbaum-Saunders nonlinear regression models potentially useful in lifetime data analysis. The class generalizes the regression model described by Rieck and Nedelman [1991, A log-linear…

Methodology · Statistics 2009-07-03 Artur J. Lemonte , Gauss M. Cordeiro

We consider the recovery of regression coefficients, denoted by $\boldsymbol{\beta}_0$, for a single index model (SIM) relating a binary outcome $Y$ to a set of possibly high dimensional covariates $\boldsymbol{X}$, based on a large but…

Methodology · Statistics 2018-07-03 Abhishek Chakrabortty , Matey Neykov , Raymond Carroll , Tianxi Cai

The computational complexity of simultaneous inference methods in high-dimensional linear regression models quickly increases with the number variables. This paper proposes a computationally efficient method based on the Moore-Penrose…

Statistics Theory · Mathematics 2021-02-02 Tom Boot , Didier Nibbering

Likelihood-based estimation methods involve the normalising constant of the model distributions, expressed as a function of the parameter. However in many problems this function is not easily available, and then less efficient but more…

Methodology · Statistics 2019-04-30 Silvia Columbu , Valentina Mameli , Monica Musio , A. Philip Dawid
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