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The ultimate goal of regression analysis is to obtain information about the conditional distribution of a response given a set of explanatory variables. This goal is, however, seldom achieved because most established regression models only…

统计方法学 · 统计学 2017-12-13 Torsten Hothorn , Thomas Kneib , Peter Bühlmann

In this paper we study the asymptotics of linear regression in settings with non-Gaussian covariates where the covariates exhibit a linear dependency structure, departing from the standard assumption of independence. We model the covariates…

机器学习 · 统计学 2024-12-10 Behrad Moniri , Hamed Hassani

This paper shows that large nonparametric classes of conditional multivariate densities can be approximated in the Kullback--Leibler distance by different specifications of finite mixtures of normal regressions in which normal means and…

统计理论 · 数学 2010-10-05 Andriy Norets

The recent paper Cand\`es et al. (2018) introduced model-X knockoffs, a method for variable selection that provably and non-asymptotically controls the false discovery rate with no restrictions or assumptions on the dimensionality of the…

统计方法学 · 统计学 2020-06-16 Dongming Huang , Lucas Janson

In many time-to-event studies, the event of interest is recurrent. Here, the data for each sample unit corresponds to a series of gap times between the subsequent events. Given a limited follow-up period, the last gap time might be…

统计方法学 · 统计学 2018-02-28 Nicole Barthel , Candida Geerdens , Claudia Czado , Paul Janssen

Conditional copula models allow dependence structures to vary with observed covariates while preserving a separation between marginal behavior and association. We study the uniform asymptotic behavior of kernel-weighted local likelihood…

统计理论 · 数学 2026-01-06 Mathias Nthiani Muia

Measuring dependence between two events, or equivalently between two binary random variables, amounts to expressing the dependence structure inherent in a $2\times 2$ contingency table in a real number between $-1$ and $1$. Countless such…

统计方法学 · 统计学 2025-11-13 Marc-Oliver Pohle , Timo Dimitriadis , Jan-Lukas Wermuth

Multi-dimensional distributions whose marginal distributions are uniform are called copulas. Among them, the one that satisfies given constraints on expectation and is closest to the independent distribution in the sense of Kullback-Leibler…

统计方法学 · 统计学 2022-04-11 Yici Chen , Tomonari Sei

It will be recalled that the classical bivariate normal distributions have normal marginals and normal conditionals. It is natural to ask whether a similar phenomenon can be encountered involving Poisson marginals and conditionals.…

统计方法学 · 统计学 2020-09-04 Barry C. Arnold , B. G. Manjunath

Recently, it has become common for applied works to combine commonly used survival analysis modeling methods, such as the multivariable Cox model and propensity score weighting, with the intention of forming a doubly robust estimator of an…

We consider testing marginal independence versus conditional independence in a trivariate Gaussian setting. The two models are non-nested and their intersection is a union of two marginal independences. We consider two sequences of such…

统计理论 · 数学 2020-10-23 F. Richard Guo , Thomas S. Richardson

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

The autologistic model and related auto-models, commonly applied as autocovariate regression, offer distinct advantages for analysing spatially autocorrelated ecological data. However, comparative studies by Carl and K\"uhn (Ecol. Model.,…

定量方法 · 定量生物学 2015-01-28 David C. Bardos , Gurutzeta Guillera-Arroita , Brendan A. Wintle

The phenomenon of superconvergence is proved for all freely infinitely divisible distributions. Precisely, suppose that the partial sums of a sequence of free identically distributed, infinitesimal random variables converge in distribution…

概率论 · 数学 2018-03-16 Hari Bercovici , Jiun-Chau Wang , Ping Zhong

(To appear in The American Statistician.) Distance covariance (Sz\'ekely, Rizzo, and Bakirov, 2007) is a fascinating recent notion, which is popular as a test for dependence of any type between random variables $X$ and $Y$. This approach…

统计方法学 · 统计学 2024-07-08 Jakob Raymaekers , Peter J. Rousseeuw

In this paper, we introduce quantile coherency to measure general dependence structures emerging in the joint distribution in the frequency domain and argue that this type of dependence is natural for economic time series but remains…

统计理论 · 数学 2018-12-31 Jozef Baruník , Tobias Kley

We study the task of unsupervised domain adaptation, where no labeled data from the target domain is provided during training time. To deal with the potential discrepancy between the source and target distributions, both in features and…

机器学习 · 计算机科学 2017-10-03 Cuong D. Tran , Ognjen Rudovic , Vladimir Pavlovic

A nonparametric variant of the Kiefer--Weiss problem is proposed and investigated. In analogy to the classical Kiefer--Weiss problem, the objective is to minimize the maximum expected sample size of a sequential test. However, instead of…

统计理论 · 数学 2020-10-26 Michael Fauß , H. Vincent Poor

Spontaneous collapse models aim to solve the long-standing measurement problem in quantum mechanics by modifying the theory's dynamics to include objective wave function collapses. These collapses occur randomly in space, bridging the gap…

量子物理 · 物理学 2025-07-23 Nicolò Piccione , Angelo Bassi

Copulas, generalized estimating equations, and generalized linear mixed models promote the analysis of grouped data where non-normal responses are correlated. Unfortunately, parameter estimation remains challenging in these three…

统计方法学 · 统计学 2024-10-16 Sarah S. Ji , Benjamin B. Chu , Hua Zhou , Kenneth Lange