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Robust estimation approaches are of fundamental importance for statistical modelling. To reduce susceptibility to outliers, we propose a robust estimation procedure with t-process under functional ANOVA model. Besides common mean structure…

Methodology · Statistics 2018-12-19 Chen Zhang , Zimu Chen , Zhanfeng Wang , Yaohua Wu

This paper develops asymptotic theory for estimation of parameters in regression models for binomial response time series where serial dependence is present through a latent process. Use of generalized linear model (GLM) estimating…

Statistics Theory · Mathematics 2016-06-06 W. T. M. Dunsmuir , J. Y. He

We argue that the claimed optimality of a new process tomography method suggested in [quant-ph/0601033] and [quant-ph/0601034] is based on not completely fair comparison that does not take into account the available information in an equal…

Quantum Physics · Physics 2007-05-23 Mario Ziman

In this paper an easy to implement method of stochastically weighing short and long memory linear processes is introduced. The method renders asymptotically exact size confidence intervals for the population mean which are significantly…

Methodology · Statistics 2019-01-15 Masoud M Nasari , Mohamedou Ould-Haye

A wide range of approaches for batch processes monitoring can be found in the literature. This kind of process generates a very peculiar data structure, in which successive measurements of many process variables in each batch run are…

Methodology · Statistics 2021-09-03 Batista Nunes de Oliveira , Marcio Valk , Danilo Marcondes Filho

Copula-based modeling has seen rapid advances in recent years. However, in big data applications, the lengthy computation time for estimating copula parameters is a major difficulty. Here, we develop a novel method to speed computation time…

Methodology · Statistics 2016-09-20 Zheng Wei , Daeyoung Kim , Erin Marie Conlon

In the traditional framework of spectral learning of stochastic time series models, model parameters are estimated based on trajectories of fully recorded observations. However, real-world time series data often contain missing values, and…

Machine Learning · Computer Science 2018-10-22 Tianlin Liu

This study proposes a robust estimator for stochastic frontier models by integrating the idea of Basu et al. [1998, Biometrika 85, 549-559] into such models. We verify that the suggested estimator is strongly consistent and asymptotic…

Methodology · Statistics 2015-07-29 Junmo Song , Dong-hyun Oh , Jiwon Kang

Algorithms are increasingly used to aid with high-stakes decision making. Yet, their predictive ability frequently exhibits systematic variation across population subgroups. To assess the trade-off between fairness and accuracy using finite…

Econometrics · Economics 2025-06-17 Yiqi Liu , Francesca Molinari

In order to interpret and explain the physiological signal behaviors, it can be interesting to find some constants among the fluctuations of these data during all the effort or during different stages of the race (which can be detected…

Applications · Statistics 2011-12-06 Imen Kammoun , Véronique Billat , Jean-Marc Bardet

We present a new flow framework for separation logic reasoning about programs that manipulate general graphs. The framework overcomes problems in earlier developments: it is based on standard fixed point theory, guarantees least flows,…

Programming Languages · Computer Science 2023-04-12 Roland Meyer , Thomas Wies , Sebastian Wolff

Practical data assimilation algorithms often contain hyper-parameters, which may arise due to, for instance, the use of certain auxiliary techniques like covariance inflation and localization in an ensemble Kalman filter, the…

Computation · Statistics 2022-06-08 Xiaodong Luo , Chuan-An Xia

We present improved methods for calculating confidence intervals and $p$-values in situations where standard asymptotic approaches fail due to small sample sizes. We apply these techniques to a specific class of statistical model that can…

Data Analysis, Statistics and Probability · Physics 2024-01-11 Enzo Canonero , Alessandra Rosalba Brazzale , Glen Cowan

The paper aims at reconsidering the famous Le Cam LAN theory. The main features of the approach which make it different from the classical one are as follows: (1) the study is nonasymptotic, that is, the sample size is fixed and does not…

Statistics Theory · Mathematics 2013-03-06 Vladimir Spokoiny

System identification refers to estimation of process parameters and is a necessity in control theory. Physical systems usually have varying parameters. For such processes, accurate identification is particularly important. Online…

Other Computer Science · Computer Science 2008-11-04 Deepyaman Maiti , Ayan Acharya , Amit Konar

We introduce a novel way to extract information from turbulent datasets by applying an ARMA statistical analysis. Such analysis goes well beyond the analysis of the mean flow and of the fluctuations and links the behavior of the recorded…

In this paper, we present a new method for calculating expectation values of operators that can be expressed as a linear combination of unitary (LCU) operators. This method allows to perform this calculation in a single quantum circuit…

Quantum Physics · Physics 2025-03-04 Alejandro Mata Ali

This article considers a nonparametric method for detecting change points in non-stationary time series. The proposed method will divide the time series into several segments so that between two adjacent segments, the normalized spectral…

Statistics Theory · Mathematics 2020-11-05 Zixiang Guan , Gemai Chen

We show that the recently proposed (enhanced) PUMA estimator for array processing minimizes the same criterion function as the well-established MODE estimator. (PUMA = principal-singular-vector utilization for modal analysis, MODE = method…

Other Statistics · Statistics 2017-10-04 Dave Zachariah , Petre Stoica , Magnus Jansson

The Quantum Approximate Optimization Algorithm (QAOA) has been suggested as a promising candidate for the solution of combinatorial optimization problems. Yet, whether - or under what conditions - it may offer an advantage compared to…

Quantum Physics · Physics 2025-04-14 Vanessa Dehn , Martin Zaefferer , Gerhard Hellstern , Florentin Reiter , Thomas Wellens