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We propose kernel estimator for the distribution function of unobserved errors in autoregressive time series, based on residuals computed by estimating the autoregressive coefficients with the Yule-Walker method. Under mild assumptions, we…

Statistics Theory · Mathematics 2014-05-26 Jiangyan Wang , Rong Liu , Fuxia Cheng , Lijian Yang

We study offline change-point estimation for time series data exhibiting nonlinear serial dependence. To address this problem, we propose a copula-based Markov chain model with Weibull marginal distributions, which is suitable for modeling…

Methodology · Statistics 2026-05-29 Li-Hsien Sun , Zong-Yuan Huang , Yi-Ling Huang , Chi-Yang Chiu , Ning Ning

Suppose we observe an invertible linear process with independent mean-zero innovations and with coefficients depending on a finite-dimensional parameter, and we want to estimate the expectation of some function under the stationary…

Statistics Theory · Mathematics 2007-06-13 Anton Schick , Wolfgang Wefelmeyer

Estimation of Distribution Algorithms (EDAs) and Innovation Method are recognized methods for solving global optimization problems and for the estimation of parameters in diffusion processes, respectively. Well known is also that the…

Numerical Analysis · Mathematics 2018-04-10 Zochil González Arenas , Juan Carlos Jimenez , Li-Vang Lozada-Chang , Roberto Santana

Instrumental variable (IV) and control function (CF) methods are powerful tools for causal effect estimation in the presence of unmeasured confounding, yet most existing approaches target only mean effects and/or demand substantial fitting…

Machine Learning · Statistics 2026-05-08 Geping Chen , Chunlin Li , Tianzhong Yang , Zhengyuan Zhu , Jing Zhou

In survey analysis, the estimation of the cumulative distribution function (cdf) is of great interest: it allows for instance to derive quantiles estimators or other non linear parameters derived from the cdf. We consider the case where the…

Methodology · Statistics 2014-04-14 Sandrine Casanova , Eve Leconte

State estimation for a class of linear time-invariant systems with distributed output measurements (distributed sensors) and unknown inputs is addressed in this paper. The objective is to design a network of observers such that the state…

Systems and Control · Electrical Eng. & Systems 2021-10-12 Guitao Yang , Angelo Barboni , Hamed Rezaee , Thomas Parisini

Credit card fraud causes significant financial losses and frequently occurs as fraud attack, defined as short-term sequence of fraudulent transactions associated with high transaction rates and amounts, business areas historically tied to…

Optimization and Control · Mathematics 2025-03-27 Alexander Stotsky

We provide a new estimation method for conditional moment models via the martingale difference divergence (MDD).Our MDD-based estimation method is formed in the framework of a continuum of unconditional moment restrictions. Unlike the…

Econometrics · Economics 2024-04-18 Kunyang Song , Feiyu Jiang , Ke Zhu

This work aims efficiently estimating the posterior distribution of kinetic parameters for dynamic positron emission tomography (PET) imaging given a measurement of time of activity curve. Considering the inherent information loss from…

Medical Physics · Physics 2023-10-25 Xiaofeng Liu , Thibault Marin , Tiss Amal , Jonghye Woo , Georges El Fakhri , Jinsong Ouyang

Estimating the empirical distribution of a scalar-valued data set is a basic and fundamental task. In this paper, we tackle the problem of estimating an empirical distribution in a setting with two challenging features. First, the algorithm…

Machine Learning · Computer Science 2023-01-16 Princewill Okoroafor , Vaishnavi Gupta , Robert Kleinberg , Eleanor Goh

We consider projection methods for the estimation of the cumulative distribution function under interval censoring, case 1. Such censored data also known as current status data, arise when the only information available on the variable of…

Statistics Theory · Mathematics 2009-01-29 Elodie Brunel , Fabienne Comte

This paper presents a systematic approach to detecting High Impedance Faults (HIFs) in medium voltage distribution networks using recurrence plots and machine learning. We first simulate 1150 internal faults, including 300 HIFs, 1000…

Signal Processing · Electrical Eng. & Systems 2025-03-06 Pallav Kumar Bera , Samita Rani Pani , Rajesh Kumar

To use control charts in practice, the in-control state usually has to be estimated. This estimation has a detrimental effect on the performance of control charts, which is often measured for example by the false alarm probability or the…

Methodology · Statistics 2013-07-30 Axel Gandy , Jan Terje Kvaløy

The accelerated failure time (AFT) model is widely used to analyze relationships between variables in the presence of censored observations. However, this model relies on some assumptions such as the error distribution, which can lead to…

Methodology · Statistics 2026-02-10 Sangkon Oh , Hyunjae Lee , Sangwook Kang , Byungtae Seo

This paper proposes a new extension of the linear failure rate (LFR) model to better capture real-world lifetime data. The model incorporates an additional shape parameter to increase flexibility. It helps model the minimum survival time…

Methodology · Statistics 2026-01-13 Suchismita Das , Akul Ameya , Cahyani Karunia Putri

This paper proposes and analyzes fully data driven methods for inference about the mean function of a stochastic process from a sample of independent trajectories of the process, observed at discrete time points and corrupted by additive…

Methodology · Statistics 2009-05-20 F. Bunea , M. H. Wegkamp , A. E. Ivanescu

We apply tipping point analysis to measurements of electronic components commonly used in applications in the automotive or aviation industries and demonstrate early warning signals based on scaling properties of resistance time series. The…

Physics and Society · Physics 2020-07-29 Valerie Livina , Adam Lewis , Martin Wickham

Background: Existing guidelines for handling missing data are generally not consistent with the goals of prediction modelling, where missing data can occur at any stage of the model pipeline. Multiple imputation (MI), often heralded as the…

Methodology · Statistics 2022-06-27 Rose Sisk , Matthew Sperrin , Niels Peek , Maarten van Smeden , Glen P. Martin

Consider estimation of the regression parameter in the accelerated failure time model, when data are obtained by cross sectional sampling. It is shown that it is possible under regularity of the model to construct an efficient estimator of…

Statistics Theory · Mathematics 2007-06-13 Chris A. J. Klaassen , Philip J. Mokveld , Bert van Es
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