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We review with a tutorial scope the information theory foundations of quantum statistical physics. Only a small proportion of the variables that characterize a system at the microscopic scale can be controlled, for both practical and…

统计力学 · 物理学 2007-05-23 R. Balian

Thomas' partial likelihood estimator of regression parameters is widely used in the analysis of nested case-control data with Cox's model. This paper proposes a new estimator of the regression parameters, which is consistent and…

统计理论 · 数学 2007-06-13 Kani Chen

In this article, a copula-based method for mixed regression models is proposed, where the conditional distribution of the response variable, given covariates, is modelled by a parametric family of continuous or discrete distributions, and…

统计方法学 · 统计学 2025-01-13 Pavel Krupskii , Bouchra R Nasri , Bruno N Remillard

This article presents factor copula approaches to model temporal dependency of non-Gaussian (continuous/discrete) longitudinal data. Factor copula models are canonical vine copulas which explain the underlying dependence structure of a…

统计方法学 · 统计学 2025-02-18 Subhajit Chattopadhyay

We consider a class of semiparametric regression models which are one-parameter extensions of the Cox [J. Roy. Statist. Soc. Ser. B 34 (1972) 187-220] model for right-censored univariate failure times. These models assume that the hazard…

统计理论 · 数学 2007-06-13 Michael R. Kosorok , Bee Leng Lee , Jason P. Fine

Linear quantile regression models aim at providing a detailed and robust picture of the (conditional) response distribution as function of a set of observed covariates. Longitudinal data represent an interesting field of application of such…

统计方法学 · 统计学 2015-07-30 Maria Francesca Marino , Nikos Tzavidis , Marco Alfo'

In the context of the Cobb-Douglas productivity model we consider the $N \times N$ input-output linkage matrix $W$ for a network of $N$ firms $f_1, f_2, \cdots, f_N$. The associated influence vector $v_w$ of $W$ is defined in terms of the…

离散数学 · 计算机科学 2023-10-05 Jesse Geneson , Alvin Moon , Nicolas Robles , Aaron Strong , Jonathan Welburn

We develop a general framework for distribution-free predictive inference in regression, using conformal inference. The proposed methodology allows for the construction of a prediction band for the response variable using any estimator of…

统计方法学 · 统计学 2017-03-09 Jing Lei , Max G'Sell , Alessandro Rinaldo , Ryan J. Tibshirani , Larry Wasserman

When training predictive models on data with missing entries, the most widely used and versatile approach is a pipeline technique where we first impute missing entries and then compute predictions. In this paper, we view prediction with…

机器学习 · 计算机科学 2025-02-25 Dimitris Bertsimas , Arthur Delarue , Jean Pauphilet

The Cox proportional hazards model is ubiquitous in the analysis of time-to-event data. However, when the data dimension p is comparable to the sample size $N$, maximum likelihood estimates for its regression parameters are known to be…

统计方法学 · 统计学 2020-01-08 M Sheikh , A. C. C. Coolen

This paper presents a functional linear Cox regression model with frailty to tackle unobserved heterogeneity in survival data with functional covariates. While traditional Cox models are common, they struggle to incorporate frailty effects…

统计方法学 · 统计学 2025-01-14 Deniz Inan , Ufuk Beyaztas , Carmen D. Tekwe , Xiwei Chen , Roger S. Zoh

This work addresses the problem of missing data in time-series analysis focusing on (a) estimation of model parameters in the presence of missing data and (b) reconstruction of missing data. Standard approaches used to solve these problems…

统计方法学 · 统计学 2020-01-01 Dimitri Igdalov , Olga Kaiser , Ilia Horenko

Sparsity in a regression context makes the model itself an object of interest, pointing to a confidence set of models as the appropriate presentation of evidence. A difficulty in areas such as genomics, where the number of candidate…

统计理论 · 数学 2026-02-24 Heather Battey , Daniel Garcia Rasines , Yanbo Tang

We study the problem of online learning in contextual bandit problems where the loss function is assumed to belong to a known parametric function class. We propose a new analytic framework for this setting that bridges the Bayesian theory…

机器学习 · 计算机科学 2024-06-28 Gergely Neu , Matteo Papini , Ludovic Schwartz

Linear regression on network-linked observations has been an essential tool in modeling the relationship between response and covariates with additional network structures. Previous methods either lack inference tools or rely on restrictive…

统计方法学 · 统计学 2022-08-22 Can M. Le , Tianxi Li

When data are missing due to at most one cause from some time to next time, we can make sampling distribution inferences about the parameter of the data by modeling the missing-data mechanism correctly. Proverbially, in case its mechanism…

统计方法学 · 统计学 2014-07-21 Kosuke Morikawa , Yutaka Kano

High-dimensional time series appear in many scientific setups, demanding a nuanced approach to model and analyze the underlying dependence structure. Theoretical advancements so far often rely on stringent assumptions regarding the sparsity…

信息论 · 计算机科学 2025-03-20 Daria Tieplova , Samriddha Lahiry , Jean Barbier

We consider a linear regression model with regression parameter beta =(beta_1, ..., beta_p) and independent and identically N(0, sigma^2)distributed errors. Suppose that the parameter of interest is theta = a^T beta where a is a specified…

统计计算 · 统计学 2009-04-17 Paul Kabaila , Khageswor Giri

Estimating the causal effects of an intervention from high-dimensional observational data is difficult due to the presence of confounding. The task is often complicated by the fact that we may have a systematic missingness in our data at…

机器学习 · 统计学 2020-03-02 Sonali Parbhoo , Mario Wieser , Aleksander Wieczorek , Volker Roth

We study identifiability of the parameters in autoregressions defined on a network. Most identification conditions that are available for these models either rely on the network being observed repeatedly, are only sufficient, or require…

计量经济学 · 经济学 2022-06-06 Federico Martellosio