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This paper considers a particular renewal-reward process with multivariate discounted rewards (inputs) where the arrival epochs are adjusted by adding some random delays. Then this accumulated reward can be regarded as multivariate…

Probability · Mathematics 2018-03-05 Landy Rabehasaina , Jae-Kyung Woo

Disability insurance claims are often affected by lengthy reporting delays and adjudication processes. The classic multistate life insurance modeling framework is ill-suited to handle such information delays since the cash flow and…

Applications · Statistics 2025-01-22 Oliver Lunding Sandqvist

We study copula-based collective risk models when the dependence structure is defined by a Farlie-Gumbel-Morgenstern (FGM) copula. By leveraging a one-to-one correspondence between the class of FGM copulas and multivariate symmetric…

Applications · Statistics 2024-09-04 Christopher Blier-Wong , Hélène Cossette , Etienne Marceau

We analyse the ruin probabilities for a renewal insurance risk process with inter-arrival time distributions depending on the claims that arrived within a fixed (past) time window. This dependence could be explained through a regenerative…

Probability · Mathematics 2016-04-22 Corina Constantinescu , Suhang Dai , Weihong Ni , Zbigniew Palmowski

Use of copula for the purpose of modeling dependence has been receiving considerable attention in recent times. On the other hand, search for multivariate copulas with desirable dependence properties also is an important area of research.…

Methodology · Statistics 2025-02-18 Subhajit Chattopadhyay

Reservoir observers provide a data-driven approach to the inference of unmeasured variables from observed ones for nonlinear dynamical systems. While previous studies have demonstrated wide applicability, their performance may vary…

Machine Learning · Computer Science 2026-04-13 Yichen Liu , Wei Xiao , Tianguang Chu

We show how to analyze and interpret the correlation structures, the conditional expectation values and correlation coefficients of exchangeable Bernoulli random variables. We study implied default distributions for the iTraxx-CJ tranches…

Physics and Society · Physics 2008-12-02 S. Mori , K. Kitsukawa , M. Hisakado

Missing observations are pervasive throughout empirical research, especially in the social sciences. Despite multiple approaches to dealing adequately with missing data, many scholars still fail to address this vital issue. In this paper,…

Quantification of microbial interactions from 16S rRNA and meta-genomic sequencing data is difficult due to their sparse nature, as well as the fact that the data only provides measures of relative abundance. In this paper, we propose using…

Methodology · Statistics 2021-11-04 Rebecca A. Deek , Hongzhe Li

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

We use the copula approach to study the structure of dependence between sell-side analysts' consensus recommendations and subsequent security returns, with a focus on asymmetric tail dependence. We match monthly vintages of I/B/E/S…

Economics · Quantitative Finance 2014-05-14 Ivan Medovikov

This paper explores the dependence modeling of financial assets in a dynamic way and its critical role in measuring risk. Two new methods, called Accelerated Moving Window method and Bottom-up method are proposed to detect the change of…

Risk Management · Quantitative Finance 2019-08-15 Yali Dou , Haiyan Liu , Georgios Aivaliotis

We present an approach for modeling and imputation of nonignorable missing data. Our approach uses Bayesian data integration to combine (1) a Gaussian copula model for all study variables and missingness indicators, which allows arbitrary…

Methodology · Statistics 2024-11-19 Joseph Feldman , Jerome P. Reiter , Daniel R. Kowal

Time-to-event semi-competing risk endpoints may be correlated when both events are occurring on the same individual. These events and the association between them may also be influenced by individual characteristics. In this paper, we…

Methodology · Statistics 2023-04-07 Yinghui Wei , Malgorzata Wojtys , Lexy Sorrell , Peter Rowe

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…

Machine Learning · Statistics 2021-07-02 Benjamin Christoffersen , Mark Clements , Keith Humphreys , Hedvig Kjellström

Insurers are faced with the challenge of estimating the future reserves needed to handle historic and outstanding claims that are not fully settled. A well-known and widely used technique is the chain-ladder method, which is a deterministic…

Methodology · Statistics 2017-01-17 Kris Peremans , Pieter Segaert , Stefan Van Aelst , Tim Verdonck

Censoring is the central problem in survival analysis where either the time-to-event (for instance, death), or the time-tocensoring (such as loss of follow-up) is observed for each sample. The majority of existing machine learning-based…

Machine Learning · Statistics 2024-07-22 Weijia Zhang , Chun Kai Ling , Xuanhui Zhang

A characteristic feature of time-to-event data analysis is possible censoring of the event time. Most of the statistical learning methods for handling censored data are limited by the assumption of independent censoring, even if this can…

Methodology · Statistics 2022-10-27 Alise Danielle Midtfjord , Riccardo De Bin , Arne Bang Huseby

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

We propose a framework for determining whether the causal dependence of an outcome $Y$ on a covariate $X$ changes at a given time point, given confounders $\boldsymbol{Z}$. For instance, in financial markets, the effect of a market…

Methodology · Statistics 2026-05-08 Shakeel Gavioli-Akilagun , Kieran Wood , Francesco Quinzan