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In probability and statistics, copulas play important roles theoretically as well as to address a wide range of problems in various application areas. We introduce the concept of multivariate discrete copulas, discuss their equivalence to…

Methodology · Statistics 2015-12-18 Roman Schefzik

In this paper, we concentrate on new methodologies for copulas introduced and developed by Joe, Cooke, Bedford, Kurowica, Daneshkhah and others on the new class of graphical models called vines as a way of constructing higher dimensional…

Computation · Statistics 2012-10-30 Alireza Daneshkhah , Golamali Parham , Omid Chatrabgoun , M. Jokar

In this work, we propose a non-iterative Gaussian transformation strategy based on copula function, which doesn't require some commonly seen restrictive assumptions in the previous studies such as the elliptically symmetric distribution…

Methodology · Statistics 2022-03-29 Rongxiang Rui , Maozai Tian

Copula is a powerful tool to model multivariate data. We propose the modelling of intraday financial returns of multiple assets through copula. The problem originates due to the asynchronous nature of intraday financial data. We propose a…

Statistical Finance · Quantitative Finance 2024-05-29 Arnab Chakrabarti , Rituparna Sen

Near-term quantum devices with limited qubits motivate the study of space-bounded quantum computation in the data stream model. We show that Shannon entropy estimation exhibits an exponential separation between quantum and classical space…

Quantum Physics · Physics 2026-04-21 Weijun Feng , Yongzhen Xu , Lvzhou Li , Gongde Guo , Song Lin

A Bayesian framework is attractive in the context of prediction, but a fast recursive update of the predictive distribution has apparently been out of reach, in part because Monte Carlo methods are generally used to compute the predictive.…

Methodology · Statistics 2018-12-11 P. Richard Hahn , Ryan Martin , Stephen G. Walker

Copula models have become one of the most widely used tools in the applied modelling of multivariate data. Similarly, Bayesian methods are increasingly used to obtain efficient likelihood-based inference. However, to date, there has been…

Methodology · Statistics 2015-10-13 Michael Stanley Smith

Streaming computation plays an important role in large-scale data analysis. The sliding window model is a model of streaming computation which also captures the recency of the data. In this model, data arrives one item at a time, but only…

Data Structures and Algorithms · Computer Science 2021-11-01 Alessandro Epasto , Mohammad Mahdian , Vahab Mirrokni , Peilin Zhong

A semiparametric copula-based two-part quantile regression framework is developed for the analysis of semicontinuous outcomes characterized by a point mass at zero and a continuous positive component. The proposed approach models the…

Methodology · Statistics 2026-03-17 Guanjie Lyu , Mohamed Belalia , Abdulkadir Hussein

Piecewise Linear Approximation (PLA) is a well-established tool to reduce the size of the representation of time series by approximating the series by a sequence of line segments while keeping the error introduced by the approximation…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-10 Romaric Duvignau , Vincenzo Gulisano , Marina Papatriantafilou , Vladimir Savic

We exploit Gaussian copulas to specify a class of multivariate circular distributions and obtain parametric models for the analysis of correlated circular data. This approach provides a straightforward extension of traditional multivariate…

Methodology · Statistics 2024-06-07 Francesco Lagona , Marco Mingione

The impact of statistical methodologies on studying groundwater has been significant in the last several decades, due to cheaper computational abilities and presence of technologies that enable us to extract and measure more and more data.…

Applications · Statistics 2025-06-02 Muralidharan K. , Agniva Das , Shrey Pandya , Jong Min Kim

The paper presents a new copula based method for measuring dependence between random variables. Our approach extends the Maximum Mean Discrepancy to the copula of the joint distribution. We prove that this approach has several advantageous…

Machine Learning · Computer Science 2019-08-15 Barnabas Poczos , Zoubin Ghahramani , Jeff Schneider

Copulas are now frequently used to construct or estimate multivariate distributions because of their ability to take into account the multivariate dependence of the different variables while separately specifying marginal distributions.…

Methodology · Statistics 2023-02-02 Mohamad A. Khaled , Robert Kohn

With the explosion of the size of digital dataset, the limiting factor for decomposition algorithms is the \emph{number of passes} over the input, as the input is often stored out-of-core or even off-site. Moreover, we're only interested in…

Numerical Analysis · Computer Science 2016-08-14 Radim Řeh{ů}řek

For a variant of the algorithm in [Pit19] (arXiv:1903.10816) to compute the approximate density or distribution function of a linear mixture of independent random variables known by a finite sample, it is presented a proof of the functional…

Statistics Theory · Mathematics 2019-06-19 Thomas Pitschel

After reviewing a large body of literature on the modeling of bivariate discrete distributions with finite support, \cite{Gee20} made a compelling case for the use of $I$-projections in the sense of \cite{Csi75} as a sound way to attempt to…

Methodology · Statistics 2024-06-18 Ivan Kojadinovic , Tommaso Martini

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…

Methodology · Statistics 2024-03-06 Nadja Klein , Michael Stanley Smith , David Nott , Ryan Chisholm

Work on approximate linear algebra has led to efficient distributed and streaming algorithms for problems such as approximate matrix multiplication, low rank approximation, and regression, primarily for the Euclidean norm $\ell_2$. We study…

Data Structures and Algorithms · Computer Science 2018-07-10 Graham Cormode , Charlie Dickens , David P. Woodruff

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…

Statistics Theory · Mathematics 2007-06-13 Peter D. Hoff