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Modeling of high order multivariate probability distribution is a difficult problem which occurs in many fields. Copula approach is a good choice for this purpose, but the curse of dimensionality still remains a problem. In this paper we…

统计理论 · 数学 2010-09-16 Edith Kovacs , Tamas Szantai

Quantitative studies in many fields involve the analysis of multivariate data of diverse types, including measurements that we may consider binary, ordinal and continuous. One approach to the analysis of such mixed data is to use a copula…

统计理论 · 数学 2007-06-13 Peter D. Hoff

This article proposes an age-structured compartment model for irreversible diseases with a pre-clinical state of undiagnosed cases that precedes the diagnosis. The model is able to cope with mortality rates differing between the…

种群与进化 · 定量生物学 2014-11-11 Ralph Brinks

Missing values with mixed data types is a common problem in a large number of machine learning applications such as processing of surveys and in different medical applications. Recently, Gaussian copula models have been suggested as a means…

机器学习 · 统计学 2021-07-02 Benjamin Christoffersen , Mark Clements , Keith Humphreys , Hedvig Kjellström

When modeling the distribution of a multivariate continuous random vector using the so-called \emph{copula approach}, it is not uncommon to have ties in the coordinate samples of the available data because of rounding or lack of measurement…

统计方法学 · 统计学 2017-02-07 Ivan Kojadinovic

Understanding variable dependence, particularly eliciting their statistical properties given a set of covariates, provides the mathematical foundation in practical operations management such as risk analysis and decision-making given…

统计方法学 · 统计学 2023-09-06 Yunyun Wang , Tatsushi Oka , Dan Zhu

We propose improved standard errors and an asymptotic distribution theory for two-way clustered panels. Our proposed estimator and theory allow for arbitrary serial dependence in the common time effects, which is excluded by existing…

计量经济学 · 经济学 2023-12-15 Harold D Chiang , Bruce E Hansen , Yuya Sasaki

We propose a copula density estimator that can include information on bivariate marginals when the information is available. We use B-splines for copula density approximation and include information on bivariate marginals via a penalty…

统计方法学 · 统计学 2016-02-02 Yu-Hsiang Cheng , Tzee-Ming Huang

We propose a general Bayesian nonparametric (BNP) approach to causal inference in the point treatment setting. The joint distribution of the observed data (outcome, treatment, and confounders) is modeled using an enriched Dirichlet process.…

统计方法学 · 统计学 2017-03-01 Jason Roy , Kirsten J Lum , Michael J. Daniels , Bret Zeldow , Jordan Dworkin , Vincent Lo Re

Breast cancer patients may experience relapse or death after surgery during the follow-up period, leading to dependent censoring of relapse. This phenomenon, known as semi-competing risk, imposes challenges in analyzing treatment effects on…

统计方法学 · 统计学 2024-07-03 Tonghui Yu , Mengjiao Peng , Yifan Cui , Elynn Chen , Chixiang Chen

In this paper, we revisit the notion of partial copula, originally introduced to test conditional independence, highlighting its capability to represent the dependence between two random variables after removing their dependence with a…

统计方法学 · 统计学 2026-05-26 Vinícius Litvinoff Justus , Felipe Fontana Vieira

Bipartite experiments arise in various fields, in which the treatments are randomized over one set of units, while the outcomes are measured over another separate set of units. However, existing methods often rely on strong model…

统计方法学 · 统计学 2025-04-16 Sizhu Lu , Lei Shi , Yue Fang , Wenxin Zhang , Peng Ding

The family of cure models provides a unique opportunity to simultaneously model both the proportion of cured subjects (those not facing the event of interest) and the distribution function of time-to-event for susceptibles (those facing the…

统计方法学 · 统计学 2025-12-11 Panagiotis Papastamoulis , Fotios Milienos

In this article, we analyze perinatal data with birth weight (BW) as primarily interesting response variable. Gestational age (GA) is usually an important covariate and included in polynomial form. However, in opposition to this univariate…

统计方法学 · 统计学 2021-11-02 Jonathan Rathjens , Arthur Kolbe , Jürgen Hölzer , Katja Ickstadt , Nadja Klein

Analysing dependent risks is an important task for insurance companies. A dependency is reflected in the fact that information about one random variable provides information about the likely distribution of values of another random…

应用统计 · 统计学 2021-03-22 Sen Hu , Adrian O'Hagan

We propose a novel distributional regression model for a multivariate response vector based on a copula process over the covariate space. It uses the implicit copula of a Gaussian multivariate regression, which we call a ``regression…

统计方法学 · 统计学 2024-03-06 Nadja Klein , Michael Stanley Smith , David Nott , Ryan Chisholm

Copulas allow a flexible and simultaneous modeling of complicated dependence structures together with various marginal distributions. Especially if the density function can be represented as the product of the marginal density functions and…

统计方法学 · 统计学 2020-08-31 Jae Youn Ahn , Sebastian Fuchs , Rosy Oh

In studies involving lifetimes, observed survival times are frequently censored and possibly subject to biased sampling. In this paper, we model survival times under biased sampling (a.k.a., biased survival data) by a semi-parametric model,…

统计理论 · 数学 2007-06-13 Jiayang Sun , Bin Wang

We propose novel estimators for categorical and continuous treatments by using an optimal covariate balancing strategy for inverse probability weighting. The resulting estimators are shown to be consistent and asymptotically normal for…

统计方法学 · 统计学 2025-09-08 Seong-ho Lee , Yanyuan Ma , Xavier de Luna

In this work we propose a semiparametric bivariate copula whose density is defined by a piecewise constant function on disjoint squares. We obtain the maximum likelihood estimators of model parameters and prove that they reduce to the…

统计方法学 · 统计学 2023-03-10 Luis E. Nieto-Barajas , Ricardo Hoyos-Argüelles