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We develop a highly efficient method to numerically simulate thermal fluctuations and correlations in non-relativistic continuous bosonic one-dimensional systems. The method is suitable for arbitrary local interactions as long as the system…

Quantum Gases · Physics 2020-04-21 Stefan Beck , Igor E. Mazets , Thomas Schweigler

We investigate the asymptotic behavior of the Nadaraya-Watson estimator for the estimation of the regression function in a semiparametric regression model. On the one hand, we make use of the recursive version of the sliced inverse…

Statistics Theory · Mathematics 2012-02-27 Bernard Bercu , Thi Mong Ngoc Nguyen , Jerome Saracco

In many longitudinal settings, time-varying covariates may not be measured at the same time as responses and are often prone to measurement error. Naive last-observation-carried-forward methods incur estimation biases, and existing…

Methodology · Statistics 2023-03-10 Xinyue Chang , Yehua Li , Yi Li

Low-order climate models can play an important role in understanding low-frequency variability in the atmospheric circulation and how forcing consistent with anthropogenic climate change may affect this variability. Here, we study a…

Geophysics · Physics 2025-02-04 Bernardo Maraldi , Henk Dijkstra , Michael Ghil

In oceanography, modeling wave fields requires the use of statistical tools capable of handling the circular nature of the {data measurements}. An important issue in ocean wave analysis is the study of height and direction waves, being…

Methodology · Statistics 2024-02-01 Andrea Meilán-Vila , Rosa M. Crujeiras , Mario Francisco-Fernández

We propose a non-steady state model of the global temperature change. The model describes Earth's surface temperature dynamics under main climate forcing. The equations were derived from basic physical relationships and detailed assessment…

Detecting early warning signals in climatic time series is essential for anticipating critical transitions and tipping points. Common statistical indicators include increased variance and lag-one autocorrelation prior to bifurcation points.…

Methodology · Statistics 2026-02-11 Sigrunn H. Sørbye , Eirik Myrvoll-Nilsen , Håvard Rue

Functional linear regression analysis aims to model regression relations which include a functional predictor. The analog of the regression parameter vector or matrix in conventional multivariate or multiple-response linear regression…

Statistics Theory · Mathematics 2011-02-28 Yichao Wu , Jianqing Fan , Hans-Georg Müller

The North Atlantic Oscillation (NAO) index, a measure of sea-level atmospheric pressure variability, holds significant influence over weather patterns in North America and Northern Europe. A negative (positive) NAO value signifies increased…

Applications · Statistics 2024-12-12 Alka Yadav , Sourish Das , Anirban Chakraborti , Sudeep Shukla

A flexible semiparametric class of models is introduced that offers an alternative to classical regression models for count data as the Poisson and negative binomial model, as well as to more general models accounting for excess zeros that…

Methodology · Statistics 2020-03-30 Moritz Berger , Gerhard Tutz

We consider the functional regression model with multivariate response and functional predictors. Compared to fitting each individual response variable separately, taking advantage of the correlation between the response variables can…

Methodology · Statistics 2026-02-04 Ruiyan Luo , Xin Qi

Time-dependent response and correlation functions are studied in random quantum systems composed of infinitely many parts without mutual interaction and defined with statistically independent random matrices. The latter are taken within the…

Statistical Mechanics · Physics 2025-12-17 Sudhir Ranjan Jain , Pierre Gaspard

We consider the problem of short- and medium-term electricity load forecasting by using past loads and daily weather forecast information. Conventionally, many researchers have directly applied regression analysis. However, interpreting the…

Methodology · Statistics 2020-07-03 Kei Hirose

This article presents an Analysis of Variance model for functional data that explicitly incorporates phase variability through a time-warping component, allowing for a unified approach to estimation and inference in presence of amplitude…

Methodology · Statistics 2013-11-11 Daniel Gervini , Patrick A. Carter

This paper deals with a nonparametric Nadaraya-Watson (NW) estimator of the transition density function computed from independent continuous observations of a diffusion process. A risk bound is established on this estimator. The paper also…

Statistics Theory · Mathematics 2026-05-28 Nicolas Marie , Ousmane Sacko

We propose a coefficient that measures dependence in paired samples of functions. It has properties similar to the Pearson correlation, but differs in significant ways: (i) it is designed to measure dependence between curves, (ii) it…

Statistics Theory · Mathematics 2025-10-02 Mihyun Kim , Piotr Kokoszka

Adaptation-relevant predictions of climate change are often derived by combining climate model simulations in a multi-model ensemble. Model evaluation methods used in performance-based ensemble weighting schemes have limitations in the…

Atmospheric and Oceanic Physics · Physics 2023-04-19 Mala Virdee , Markus Kaiser , Emily Shuckburgh , Carl Henrik Ek , Ieva Kazlauskaite

Flexible estimation of the mean outcome under a treatment regimen (i.e., value function) is the key step toward personalized medicine. We define our target parameter as a conditional value function given a set of baseline covariates which…

Statistics Theory · Mathematics 2023-09-29 Ashkan Ertefaie , Luke Duttweiler , Brent A. Johnson , Mark J. van der Laan

This article focuses on the study of lactating sows, where the main interest is the influence of temperature, measured throughout the day, on the lower quantiles of the daily feed intake. We outline a model framework and estimation…

Applications · Statistics 2024-06-03 Maria Laura Battagliola , Helle Sørensen , Anders Tolver , Ana-Maria Staicu

Multivariate spatial-statistical models are often used when modeling environmental and socio-demographic processes. The most commonly used models for multivariate spatial covariances assume both stationarity and symmetry for the…

Methodology · Statistics 2021-05-11 Quan Vu , Andrew Zammit-Mangion , Noel Cressie
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