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Autoregressive (AR) time series models are widely used in parametric spectral estimation (SE), where the power spectral density (PSD) of the time series is approximated by that of the \emph{best-fit} AR model, which is available in closed…

Signal Processing · Electrical Eng. & Systems 2021-10-06 Alejandro Cuevas , Sebastián López , Danilo Mandic , Felipe Tobar

We introduce the beta generalized normal distribution which is obtained by compounding the beta and generalized normal [Nadarajah, S., A generalized normal distribution, \emph{Journal of Applied Statistics}. 32, 685--694, 2005]…

Statistics Theory · Mathematics 2022-06-06 R. J. Cintra , L. C. Rêgo , G. M. Cordeiro , A. D. C. Nascimento

We propose a new four-parameter distribution for modeling synthetic aperture radar (SAR) imagery named the gamma generalized normal (GGN) by combining the gamma and generalized normal distributions. A mathematical characterization of the…

Methodology · Statistics 2022-06-07 G. M. Cordeiro , R. J. Cintra , L. C. Rêgo , A. D. C. Nascimento

We propose a new ensemble prediction method, Random Subset Averaging (RSA), tailored for settings with many covariates, particularly in the presence of strong correlations. RSA constructs candidate models via binomial random subset strategy…

Methodology · Statistics 2025-12-30 Wenhao Cui , Jie Hu

With the rapid growth of neuroimaging technologies, a great effort has been dedicated recently to investigate the dynamic changes in brain activity. Examples include time course calcium imaging and dynamic brain functional connectivity. In…

Methodology · Statistics 2020-08-31 Wei Hu , Tianyu Pan , Dehan Kong , Weining Shen

Recent developments in Carrillo et al. (2012) and Carrillo et al. (2013) introduced a novel regularization method for compressive imaging in the context of compressed sensing with coherent redundant dictionaries. The approach relies on the…

Information Theory · Computer Science 2013-07-05 Rafael E. Carrillo , Jason D. McEwen , Yves Wiaux

Motivated by single-particle cryo-electron microscopy, multi-reference alignment (MRA) models the task of recovering an unknown signal from multiple noisy observations corrupted by random rotations. The standard approach,…

Signal Processing · Electrical Eng. & Systems 2026-01-09 Shay Kreymer , Amnon Balanov , Tamir Bendory

This paper proposes a wavelet-based method for analysing periodic autoregressive moving average (PARMA) time series. Even though Fourier analysis provides an effective method for analysing periodic time series, it requires the estimation of…

Methodology · Statistics 2024-03-04 Rhea Davis , N. Balakrishna

Recent work on Neural-Symbolic systems that learn the discrete planning model from images has opened a promising direction for expanding the scope of Automated Planning and Scheduling to the raw, noisy data. However, previous work only…

Artificial Intelligence · Computer Science 2019-12-12 Masataro Asai

We study the quadratic prediction error method -- i.e., nonlinear least squares -- for a class of time-varying parametric predictor models satisfying a certain identifiability condition. While this method is known to asymptotically achieve…

Statistics Theory · Mathematics 2024-04-17 Charis Stamouli , Ingvar Ziemann , George J. Pappas

Robust regression models in the presence of outliers have significant practical relevance in areas such as signal processing, financial econometrics, and energy management. Many existing robust regression methods, either grounded in…

Signal Processing · Electrical Eng. & Systems 2025-06-30 Pengyang Song , Jue Wang

The paper shows how to use the R package yuima available on CRAN for the simulation and the estimation of a general L\'evy Continuous Autoregressive Moving Average (CARMA) model. The flexibility of the package is due to the fact that the…

Computation · Statistics 2014-09-11 Stefano M. Iacus , Lorenzo Mercuri

We consider quasi maximum likelihood (QML) estimation for general non-Gaussian discrete-ime linear state space models and equidistantly observed multivariate L\'evy-driven continuoustime autoregressive moving average (MCARMA) processes. In…

Statistics Theory · Mathematics 2015-05-19 Eckhard Schlemm , Robert Stelzer

Since with massive data growth, the need for autonomous and generic anomaly detection system is increased. However, developing one stand-alone generic anomaly detection system that is accurate and fast is still a challenge. In this paper,…

Machine Learning · Computer Science 2018-12-03 Sooyeon Lee , Huy Kang Kim

The literature on multivariate time series is, largely, limited to either models based on the multivariate Gaussian distribution or models specifically developed for a given application. In this paper we develop a general approach which is…

Methodology · Statistics 2025-12-02 Jonas Andersson , Dimitris Karlis

In this paper, we present a novel approach to reconstruct a unique image of an observed scene with widely distributed radar sensors. The problem is posed as a constrained optimization problem in which the global image which represents the…

Signal Processing · Electrical Eng. & Systems 2023-06-28 Ahmed Murtada , Ruizhi Hu , Bhavani Shankar Mysore Rama Rao , Udo Schroeder

Fine particulate matter (PM$_{2.5}$) concentration data are positive, right-skewed series that arise naturally in environmental monitoring and are well described by the Birnbaum-Saunders (BS) distribution. In this paper, we propose a…

Methodology · Statistics 2026-05-07 Helton Saulo

The conditional autoregressive (CAR) model, simultaneous autoregressive (SAR) model, and its variants have become the predominant strategies for modeling regional or areal-referenced spatial data. The overwhelming wide-use of the CAR/SAR…

Methodology · Statistics 2024-10-18 Sudipto Saha , Jonathan R. Bradley

With the rapid advancements in technology for data collection, the application of the spatial autoregressive (SAR) model has become increasingly prevalent in real-world analysis, particularly when dealing with large datasets. However, the…

Econometrics · Economics 2025-05-05 Xuan Liang , Tao Zou

In this paper, the parameter estimation of ARMA(p,q) model is given by approximate Bayesian computation algorithm. In order to improve the sampling efficiency of the algorithm, approximate Bayesian computation should select as many…

Computation · Statistics 2019-05-01 Linghui Li , Anshui Li , Huizeng Zhang