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A novel first-order moving-average model for analyzing time series observed at irregularly spaced intervals is introduced. Two definitions are presented, which are equivalent under Gaussianity. The first one relies on normally distributed…

Statistics Theory · Mathematics 2021-05-14 Cesar Ojeda , Wilfredo Palma , Susana Eyheramendy , Felipe Elorrieta

In indirect measurements, the measurand is determined by solving an inverse problem which requires a model of the measurement process. Such models are often approximations and introduce systematic errors leading to a bias of the posterior…

Methodology · Statistics 2025-09-22 Maren Casfor , Philipp Trunschke , Sebastian Heidenreich , Nando Hegemann

Frequentist and likelihood methods of inference based on the multivariate skew-normal model encounter several technical difficulties with this model. In spite of the popularity of this class of densities, there are no broadly satisfactory…

Methodology · Statistics 2013-02-06 Brunero Liseo , Antonio Parisi

We derive a closed-form expression for the finite predictor coefficients of multivariate ARMA (autoregressive moving-average) processes. The expression is given in terms of several explicit matrices that are of fixed sizes independent of…

Probability · Mathematics 2019-12-23 Akihiko Inoue

We develop a Bayesian "sum-of-trees" model where each tree is constrained by a regularization prior to be a weak learner, and fitting and inference are accomplished via an iterative Bayesian backfitting MCMC algorithm that generates samples…

Methodology · Statistics 2010-10-08 Hugh A. Chipman , Edward I. George , Robert E. McCulloch

Bayesian model averaging (BMA) is the state of the art approach for overcoming model uncertainty. Yet, especially on small data sets, the results yielded by BMA might be sensitive to the prior over the models. Credal Model Averaging (CMA)…

Methodology · Statistics 2014-05-15 Giorgio Corani , Andrea Mignatti

We develop a Bayesian median autoregressive (BayesMAR) model for time series forecasting. The proposed method utilizes time-varying quantile regression at the median, favorably inheriting the robustness of median regression in contrast to…

Applications · Statistics 2020-12-08 Zijian Zeng , Meng Li

We propose a new model-based computer-aided diagnosis (CAD) system for tumor detection and classification (cancerous v.s. benign) in breast images. Specifically, we show that (x-ray, ultrasound and MRI) images can be accurately modeled by…

Artificial Intelligence · Computer Science 2009-06-22 Nidhal Bouaynaya , Jerzy Zielinski , Dan Schonfeld

A change in the number of motor units that operate a particular muscle is an important indicator for the progress of a neuromuscular disease and the efficacy of a therapy. Inference for realistic statistical models of the typical data…

Methodology · Statistics 2018-04-12 Simon Taylor , Chris Sherlock , Gareth Ridall , Paul Fearnhead

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

Background: We proposed approximate Bayesian computation with single distribution selection (ABC-SD) for estimating mean and standard deviation from other reported summary statistics. The ABC-SD generates pseudo data from a single…

Methodology · Statistics 2016-07-12 Deukwoo Kwon , Isildinha M. Reis

This paper builds on recent research that focuses on regression modeling of continuous bounded data, such as proportions measured on a continuous scale. Specifically, it deals with beta regression models with mixed effects from a Bayesian…

We propose a new model to assess the mastery level of a given skill efficiently. The model, called Bayesian Adaptive Mastery Assessment (BAMA), uses information on the accuracy and the response time of the answers given and infers the…

Optimization and Control · Mathematics 2021-03-08 Anni Sapountzi , Sandjai Bhulai , Ilja Cornelisz , Chris van Klaveren

We explore the notion of uncertainty in the context of modern abstractive summarization models, using the tools of Bayesian Deep Learning. Our approach approximates Bayesian inference by first extending state-of-the-art summarization models…

Computation and Language · Computer Science 2022-05-04 Alexios Gidiotis , Grigorios Tsoumakas

Model-assisted estimation with complex survey data is an important practical problem in survey sampling. When there are many auxiliary variables, selecting significant variables associated with the study variable would be necessary to…

Methodology · Statistics 2020-04-01 Shonosuke Sugasawa , Jae Kwang Kim

We assess the accuracy of Bayesian polynomial extrapolations from small parameter values, x, to large values of x. We consider a set of polynomials of fixed order, intended as a proxy for a fixed-order effective field theory (EFT)…

Methodology · Statistics 2022-06-17 M. A. Connell , I. Billig , D. R. Phillips

In this paper we consider portmanteau tests for testing the adequacy of multiplicative seasonal autoregressive moving-average (SARMA) models under the assumption that the errors are uncorrelated but not necessarily independent.We relax the…

Statistics Theory · Mathematics 2019-02-11 Yacouba Boubacar Maïnassara , Abdoulkarim Ilmi Amir

We develop a Bayesian approach to estimate weight matrices in spatial autoregressive (or spatial lag) models. Datasets in regional economic literature are typically characterized by a limited number of time periods T relative to spatial…

Econometrics · Economics 2022-08-03 Tamás Krisztin , Philipp Piribauer

Conformal prediction has emerged as a popular technique for facilitating valid predictive inference across a spectrum of machine learning models, under minimal assumption of exchangeability. Recently, Hoff (2023) showed that full conformal…

Statistics Theory · Mathematics 2025-11-24 Pankaj Bhagwat , Linglong Kong , Bei Jiang

Bayesian additive regression trees have seen increased interest in recent years due to their ability to combine machine learning techniques with principled uncertainty quantification. The Bayesian backfitting algorithm used to fit BART…

Machine Learning · Statistics 2022-02-22 Antonio R. Linero