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Electronic health records (EHR) store hundreds of demographic and laboratory variables from large patient populations. Traditional statistical methods have limited capacity in processing mixed-type data (continuous, ordinal) and capturing…

Computation · Statistics 2026-04-10 Manar D. Samad , Yina Hou , Megan A. Witherow , Norou Diawara

We analyze the statistical dependency structure of the S&P 500 constituents in the 4-year period from 2007 to 2010 using intraday data from the New York Stock Exchange's TAQ database. With a copula-based approach, we find that the…

Statistical Finance · Quantitative Finance 2015-05-27 Michael C. Münnix , Rudi Schäfer

For multivariate distributions in the domain of attraction of a max-stable distribution, the tail copula and the stable tail dependence function are equivalent ways to capture the dependence in the upper tail. The empirical versions of…

Statistics Theory · Mathematics 2020-10-09 John H. J. Einmahl , Johan Segers

A dependence measure for arbitrary type pairs of random variables is proposed and analyzed, which in the particular case where both random variables are continuous turns out to be a concordance measure. Also, a sample version of the…

Statistics Theory · Mathematics 2017-02-07 Arturo Erdely

There are growing concerns for reserves estimation of incurred but not reported (IBNR) claims in actuarial sciences. In this paper, we propose a copula-based dependency model to capture the relationship between two main IBNR reserve…

Learning the joint dependence of discrete variables is a fundamental problem in machine learning, with many applications including prediction, clustering and dimensionality reduction. More recently, the framework of copula modeling has…

Machine Learning · Statistics 2013-11-15 Alfredo Kalaitzis , Ricardo Silva

Copulas have been popular to model dependence for multivariate distributions, but have not been used much in modelling temporal dependence of univariate time series. This paper demonstrates some difficulties with using copulas even for…

Probability · Mathematics 2010-10-11 Andreas N. Lagerås

This paper deals with dependence across marginally exponentially distributed arrival times, such as default times in financial modeling or inter-failure times in reliability theory. We explore the relationship between dependence and the…

Probability · Mathematics 2012-05-01 Damiano Brigo , Kyriakos Chourdakis

Parametric factor copula models typically work well in modeling multivariate dependencies due to their flexibility and ability to capture complex dependency structures. However, accurately estimating the linking copulas within these models…

Methodology · Statistics 2025-10-22 Bahareh Ghanbari , Pavel Krupskiy , Laleh Tafakori , Yan Wang

Predicting the dependencies between observations from multiple time series is critical for applications such as anomaly detection, financial risk management, causal analysis, or demand forecasting. However, the computational and numerical…

Machine Learning · Computer Science 2019-10-28 David Salinas , Michael Bohlke-Schneider , Laurent Callot , Roberto Medico , Jan Gasthaus

Using the classical estimation method of moments, we propose a new semiparametric estimation procedure for multi-parameter copula models. Consistency and asymptotic normality of the obtained estimators are established. By considering an…

Methodology · Statistics 2012-01-10 Brahim Brahimi , Abdelhakim Necir

The study of infectious disease epidemiology for multi-type disease pathogens requires modelling techniques that account for the complex interactions existing between strains across geography and time. In this paper, we propose a novel…

Methodology · Statistics 2026-05-06 Matthew Adeoye , Simon E. F. Spencer , Xavier Didelot

Using both single-index measures and stochastic dominance concepts, we show how Bayesian inference can be used to make multivariate welfare comparisons. A four-dimensional distribution for the well-being attributes income, mental health,…

Econometrics · Economics 2024-06-21 David Gunawan , William Griffiths , Duangkamon Chotikapanich

Motivated by modern data forms such as images and multi-view data, the multi-attribute graphical model aims to explore the conditional independence structure among vectors. Under the Gaussian assumption, the conditional independence between…

Machine Learning · Statistics 2024-04-11 Qi Zhang , Bing Li , Lingzhou Xue

As the meta-analysis of more than one diagnostic tests can impact clinical decision making and patient health, there is an increasing body of research in models and methods for meta-analysis of studies comparing multiple diagnostic tests.…

Methodology · Statistics 2021-05-11 Aristidis K. Nikoloulopoulos

Human mortality patterns and trajectories in closely related populations are likely linked together and share similarities. It is always desirable to model them simultaneously while taking their heterogeneity into account. This paper…

Methodology · Statistics 2024-12-30 Ka Kin Lam , Bo Wang

We present results on the estimation and evaluation of success probabilities for ordinal optimisation over uncountable sets (such as subsets of $\mathbb{R}^{d}$). Our formulation invokes an assumption of a Gaussian copula model, and we show…

Optimization and Control · Mathematics 2021-05-14 Robert Chin , Jonathan E. Rowe , Iman Shames , Chris Manzie , Dragan Nešić

This work considers stochastic comparisons of lifetimes of series and parallel systems with dependent and heterogeneous components having lifetimes following the proportional odds (PO) model. The joint distribution of component lifetimes is…

Statistics Theory · Mathematics 2021-12-17 Arindam Panja , Pradip Kundu , Biswabrata Pradhan

Model selection is an important activity in modern data analysis and the conventional Bayesian approach to this problem involves calculation of marginal likelihoods for different models, together with diagnostics which examine specific…

Computation · Statistics 2008-10-31 David J. Nott , Robert J. Kohn , Mark Fielding

We present a stochastic model of population dynamics exploiting cross-sectional data in trend analysis and forecasts for groups and cohorts of a population. While sharing the convenient features of classic Markov models, it alleviates the…

Applications · Statistics 2017-06-20 Agnieszka Werpachowska , Roman Werpachowski