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Many types of bounded data defined on the unit interval arise naturally as ratios of the form $X/(X + Y)$. In the existing literature, the main statistical models proposed for this type of bounded data typically based on the assumption that…

Methodology · Statistics 2026-03-04 Roberto Vila , Felipe Quintino , Marcelo Bourguignon

A factor copula model is proposed in which factors are either simulable or estimable from exogenous information. Point estimation and inference are based on a simulated methods of moments (SMM) approach with non-overlapping simulation…

Econometrics · Economics 2022-12-02 Alexander Mayer , Dominik Wied

For the analysis of clustered survival data, two different types of models that take the association into account, are commonly used: frailty models and copula models. Frailty models assume that conditional on a frailty term for each…

Methodology · Statistics 2014-01-10 Leen Prenen , Roel Braekers , Luc Duchateau

In dependently censored survival data, the usual assumption of independent censoring or an incorrect specification of the correlation between the event and censoring times can bias marginal survival inference. Likelihood-based estimation of…

Methodology · Statistics 2026-04-07 Hyun-Soo Zhang , Inkyung Jung , Chung Mo Nam

This paper studies the binary classification of two distributions with the same Gaussian copula in high dimensions. Under this semiparametric Gaussian copula setting, we derive an accurate semiparametric estimator of the log density ratio,…

Statistics Theory · Mathematics 2014-11-12 Yue Zhao , Marten Wegkamp

We present a joint copula-based model for insurance claims and sizes. It uses bivariate copulae to accommodate for the dependence between these quantities. We derive the general distribution of the policy loss without the restrictive…

Statistics Theory · Mathematics 2012-09-25 Nicole Kraemer , Eike C. Brechmann , Daniel Silvestrini , Claudia Czado

Bi-factor and second-order models based on copulas are proposed for item response data, where the items can be split into non-overlapping groups such that there is a homogeneous dependence within each group. Our general models include the…

Methodology · Statistics 2021-02-23 Sayed H. Kadhem , Aristidis K. Nikoloulopoulos

We here consider the subset simulation method which approaches a failure event using a decreasing sequence of nested intermediate failure events. The method resembles importance sampling, which actively explores a probability space by…

Computation · Statistics 2020-03-16 Kenan Šehić , Mirza Karamehmedović

In this paper we review Bernstein and grid-type copulas for arbitrary dimensions and general grid resolutions in connection with discrete random vectors possessing uniform margins. We further suggest a pragmatic way to fit the dependence…

Methodology · Statistics 2020-10-30 Dietmar Pfeifer , Doreen Strassburger , Joerg Philipps

This paper proposes a modelling strategy to infer the impact of a covariate on the dependence structure of right-censored clustered event time data. The joint survival function of the event times is modelled using a parametric conditional…

Methodology · Statistics 2016-06-07 Candida Geerdens , Elif Fidan Acar , Paul Janssen

We propose, for multivariate Gaussian copula models with unknown margins and structured correlation matrices, a rank-based, semiparametrically efficient estimator for the Euclidean copula parameter. This estimator is defined as a one-step…

Methodology · Statistics 2014-10-02 Johan Segers , Ramon van den Akker , Bas J. M. Werker

To estimate cosmological parameters from a given dataset, we need to construct a likelihood function, which sometimes has a complicated functional form. We introduce the copula, a mathematical tool to construct an arbitrary multivariate…

Cosmology and Nongalactic Astrophysics · Physics 2011-02-25 Masanori Sato , Kiyotomo Ichiki , Tsutomu T. Takeuchi

In large observational studies, the case-cohort design is commonly used to reduce the cost associated with covariate measurement. For survival outcomes, literature has suggested that the restricted mean survival time (RMST) be a more…

Methodology · Statistics 2026-05-08 Andy Ni , Wei-En Lu , Bo Lu

The Fine-Gray model for the subdistribution hazard is commonly used for estimating associations between covariates and competing risks outcomes. When there are missing values in the covariates included in a given model, researchers may wish…

IMPORTANCE: Feature selection with respect to time-to-event outcomes is one of the fundamental problems in clinical trials and biomarker discovery studies. But it's unclear which statistical methods should be used when sample size is small…

Methodology · Statistics 2022-10-17 Rong Lu

In this paper I describe some substantial extensions to the survsim command for simulating survival data. survsim can now simulate survival data from a parametric distribution, a custom/user-defined distribution, from a fitted merlin model,…

Computation · Statistics 2021-10-22 Michael J. Crowther

For modeling multivariate financial time series we propose a single factor copula model together with stochastic volatility margins. This model generalizes single factor models relying on the multivariate normal distribution and allows for…

Computation · Statistics 2019-07-22 Alexander Kreuzer , Claudia Czado

We propose a new copula model that can be used with replicated spatial data. Unlike the multivariate normal copula, the proposed copula is based on the assumption that a common factor exists and affects the joint dependence of all…

Applications · Statistics 2016-12-08 Pavel Krupskii , Raphael Huser , Marc G. Genton

The three state illness death model has been established as a general approach for regression analysis of semi competing risks data. For observational data the marginal structural models (MSM) are a useful tool, under the potential outcomes…

Methodology · Statistics 2023-12-20 Yiran Zhang , Andrew Ying , Steve Edland , Lon White , Ronghui Xu

Survival Analysis (SA) constitutes the default method for time-to-event modeling due to its ability to estimate event probabilities of sparsely occurring events over time. In this work, we show how to improve the training and inference of…

Machine Learning · Computer Science 2023-12-12 Chris Solomou