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Existing monitoring tools for multivariate data are often asymptotically distribution-free, computationally intensive, or require a large stretch of stable data. Many of these methods are not applicable to 'high dimension, low sample size'…

Methodology · Statistics 2023-05-12 Niladri Chakraborty , Chun Fai Lui , Ahmed Maged

We propose multivariate nonstationary Gaussian processes for jointly modeling multiple clinical variables, where the key parameters, length-scales, standard deviations and the correlations between the observed output, are all time…

Methodology · Statistics 2019-10-15 Rui Meng , Braden Soper , Herbert Lee , Vincent X. Liu , John D. Greene , Priyadip Ray

There has been a wide interest to extend univariate and multivariate nonparametric procedures to clustered and hierarchical data. Traditionally, parametric mixed models have been used to account for the correlation structures among the…

Statistics Theory · Mathematics 2018-03-02 Jaakko Nevalainen , Denis Larocque , Hannu Oja , Ilkka Pörsti

When analysing time series an important issue is to decide whether the time series is stationary or a random walk. Relaxing these notions, we consider the problem to decide in favor of the I(0)- or I(1)-property. Fixed-sample statistical…

Statistics Theory · Mathematics 2018-05-01 Ansgar Steland

Modal regression has emerged as a flexible alternative to classical regression models when the conditional mean or median are unable to adequately capture the underlying relation between a response and a predictor variable. This approach is…

Methodology · Statistics 2025-04-08 Ana Pérez-González , Tomás R. Cotos-Yáñez , Rosa M. Crujeiras

This article proposes a bivariate Simplex distribution for modeling continuous outcomes constrained to the interval $(0,1)$, which can represent proportions, rates, or indices. We derive analytical expressions to calculate the dependence…

We propose a new adequacy test and a graphical evaluation tool for nonlinear dynamic models. The proposed techniques can be applied in any setup where parametric conditional distribution of the data is specified, in particular to models…

Statistics Theory · Mathematics 2017-06-02 Igor L. Kheifets

This paper provides a general identification approach for a wide range of nonlinear panel data models, including binary choice, ordered response, and other types of limited dependent variable models. Our approach accommodates dynamic models…

Econometrics · Economics 2026-01-09 Wayne Yuan Gao , Rui Wang

Testing procedures for predictive regressions with lagged autoregressive variables imply a suboptimal inference in presence of small violations of ideal assumptions. We propose a novel testing framework resistant to such violations, which…

Statistical Finance · Quantitative Finance 2016-12-16 Lorenzo Camponovo , Olivier Scaillet , Fabio Trojani

We analyse a multilevel Monte Carlo method for the approximation of distribution functions of univariate random variables. Since, by assumption, the target distribution is not known explicitly, approximations have to be used. We provide an…

Probability · Mathematics 2017-06-22 Mike B. Giles , Tigran Nagapetyan , Klaus Ritter

For covariance test in functional data analysis, existing methods are developed only for fully observed curves, whereas in practice, trajectories are typically observed discretely and with noise. To bridge this gap, we employ a…

Methodology · Statistics 2026-04-20 Yang Zhou , Jin Yang , Fang Yao

Functional data analysis is becoming increasingly popular to study data from real-valued random functions. Nevertheless, there is a lack of multiple testing procedures for such data. These are particularly important in factorial designs to…

Methodology · Statistics 2024-06-04 Merle Munko , Marc Ditzhaus , Markus Pauly , Łukasz Smaga

This paper proposes methods to investigate whether the bubble patterns observed in individual series are common to various series. We detect the non-linear dynamics using the recent mixed causal and noncausal models. Both a likelihood ratio…

Econometrics · Economics 2022-07-26 Gianluca Cubadda , Alain Hecq , Elisa Voisin

Suppose a process yields independent observations whose distributions belong to a family parameterized by \theta\in\Theta. When the process is in control, the observations are i.i.d. with a known parameter value \theta_0. When the process…

Statistics Theory · Mathematics 2007-06-13 Gary Lorden , Moshe Pollak

Control charts for process monitoring are widely used in practice. Most control charts require the monitored (residuals) process to be serially independent (and to satisfy specified distributional assumptions), whereas undetected dependence…

Methodology · Statistics 2026-05-27 Christian H. Weiß , José M. Amigó

Without imposing prior distributional knowledge underlying multivariate time series of interest, we propose a nonparametric change-point detection approach to estimate the number of change points and their locations along the temporal axis.…

Methodology · Statistics 2021-05-13 Xiaodong Wang , Fushing Hsieh

Transferring information from observations of a dynamical system to estimate the fixed parameters and unobserved states of a system model can be formulated as the evaluation of a discrete time path integral in model state space. The…

Chaotic Dynamics · Physics 2015-05-14 John C. Quinn , Henry D. I. Abarbanel

We describe group sequential tests which efficiently incorporate information from multiple endpoints allowing for early stopping at pre-planned interim analyses. We formulate a testing procedure where several outcomes are examined, and…

Methodology · Statistics 2024-05-09 Abigail J. Burdon , Thomas Jaki

We consider a nonparametric heteroscedastic time series regression model and suggest testing procedures to detect changes in the conditional variance function. The tests are based on a sequential marked empirical process and thus combine…

Statistics Theory · Mathematics 2019-06-10 Maria Mohr , Natalie Neumeyer

Process monitoring and control requires detection of structural changes in a data stream in real time. This article introduces an efficient sequential Monte Carlo algorithm designed for learning unknown changepoints in continuous time. The…

Applications · Statistics 2015-09-29 Melissa J. M. Turcotte , Nicholas A. Heard