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We propose a class of Item Response Theory models for items with ordinal polytomous responses, which extends an existing class of multidimensional models for dichotomously-scored items measuring more than one latent trait. In the proposed…

Methodology · Statistics 2012-01-24 Silvia Bacci , Francesco Bartolucci , Michela Gnaldi

The polynomial NARMAX (Nonlinear AutoRegressive Moving Average model with eXogenous input) is a model that represents the dynamics of physical systems. This polynomial contains information from the past of the inputs and outputs of the…

Signal Processing · Electrical Eng. & Systems 2017-11-22 Priscila F. S. Guedes , M. L. C. Peixoto , A. M. Barbosa , S. A. M. Martins , E. G. Nepomuceno

We develop a novel asymptotic theory for local polynomial extremum estimators of time-varying parameters in a broad class of nonlinear time series models. We show the proposed estimators are consistent and follow normal distributions in…

Econometrics · Economics 2025-07-25 Dennis Kristensen , Young Jun Lee

This work targets the identification of a class of models for hybrid dynamical systems characterized by nonlinear autoregressive exogenous (NARX) components, with finite-dimensional polynomial expansions, and by a Markovian switching…

Machine Learning · Computer Science 2020-09-30 Alessandro Brusaferri , Matteo Matteucci , Stefano Spinelli

Univariate normal regression models are statistical tools widely applied in many areas of economics. Nevertheless, income data have asymmetric behavior and are best modeled by non-normal distributions. The modeling of income plays an…

Methodology · Statistics 2022-07-15 Helton Saulo , Roberto Vila , Giovanna V. Borges , Marcelo Bourguignon

Linear time series modelling is dominated by the use of purely autoregressive models even though incorporating moving average components can greatly improve parsimony. We present a convex formulation for vector-ARMA system identification…

Systems and Control · Electrical Eng. & Systems 2022-12-01 Alex Nguyen-Le , Victor M. Preciado

In this article, we first propose the modified Hannan-Rissanen Method for estimating the parameters of the autoregressive moving average (ARMA) process with symmetric stable noise and symmetric stable generalized autoregressive conditional…

Computation · Statistics 2019-11-25 Aastha M. Sathe , N. S. Upadhye

We study the problem of estimating the parameters of a regression model from a set of observations, each consisting of a response and a predictor. The response is assumed to be related to the predictor via a regression model of unknown…

Machine Learning · Statistics 2016-05-19 Carlos Alberto Gomez-Uribe

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

We propose a novel cointegrated autoregressive model for matrix-valued time series, with bi-linear cointegrating vectors corresponding to the rows and columns of the matrix data. Compared to the traditional cointegration analysis, our…

Methodology · Statistics 2024-09-18 Zebang Li , Han Xiao

We introduce a generalized additive model for location, scale, and shape (GAMLSS) next of kin aiming at distribution-free and parsimonious regression modelling for arbitrary outcomes. We replace the strict parametric distribution…

Methodology · Statistics 2023-12-21 Sandra Siegfried , Lucas Kook , Torsten Hothorn

This paper introduces a novel quantile approach to harness the high-frequency information and improve the daily conditional quantile estimation. Specifically, we model the conditional standard deviation as a realized GARCH model and employ…

Methodology · Statistics 2021-08-05 Donggyu Kim , Minseog Oh , Yazhen Wang

The paper proposes a parsimonious and flexible semiparametric quantile regression specification for asymmetric bidders within the independent private value framework. Asymmetry is parameterized using powers of a parent private value…

Econometrics · Economics 2020-09-21 Jayeeta Bhattacharya , Nathalie Gimenes , Emmanuel Guerre

The joint Value at Risk (VaR) and expected shortfall (ES) quantile regression model of Taylor (2017) is extended via incorporating a realized measure, to drive the tail risk dynamics, as a potentially more efficient driver than daily…

Risk Management · Quantitative Finance 2018-05-23 Richard Gerlach , Chao Wang

We study the predictive power of autoregressive moving average models when forecasting demand in two shared computational networks, PlanetLab and Tycoon. Demand in these networks is very volatile, and predictive techniques to plan usage in…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-11-15 Thomas Sandholm

A class of multivariate periodic autoregressive models is proposed where coupling between time series is achieved through linear mean functions. Various response distributions with quadratic mean-variance relationships fit into the…

Methodology · Statistics 2017-12-18 Johannes Bracher , Leonhard Held

An inference procedure is proposed to provide consistent estimators of parameters in a modal regression model with a covariate prone to measurement error. A score-based diagnostic tool exploiting parametric bootstrap is developed to assess…

Methodology · Statistics 2024-07-02 Qingyang Liu , Xianzheng Huang

Estimation of autocorrelations and spectral densities is of fundamental importance in many fields of science, from identifying pulsar signals in astronomy to measuring heart beats in medicine. In circumstances where one is interested in…

Methodology · Statistics 2013-01-22 C. H. Fleming , J. M. Calabrese

We define a new multivariate time series model by generalizing the ARMAX process in a multivariate way. We give conditions on stationarity and analyze local dependence and domains of attraction. As a consequence of the obtained result, we…

Statistics Theory · Mathematics 2012-12-11 Marta Ferreira , Helena Ferreira

In a real life process evolving over time, the relationship between its relevant variables may change. Therefore, it is advantageous to have different inference models for each state of the process. Asymmetric hidden Markov models fulfil…

Machine Learning · Computer Science 2023-05-16 Carlos Puerto-Santana , Pedro Larrañaga , Concha Bielza
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