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We establish new results for estimation and inference in financial durations models, where events are observed over a given time span, such as a trading day, or a week. For the classical autoregressive conditional duration (ACD) models by…

Econometrics · Economics 2022-12-02 Giuseppe Cavaliere , Thomas Mikosch , Anders Rahbek , Frederik Vilandt

In statistics, time-to-event analysis methods traditionally focus on the estimation of hazards. In recent years, machine learning methods have been proposed to directly predict the event times. We propose a method based on vine copula…

Methodology · Statistics 2021-11-16 Shenyi Pan , Harry Joe

In applied time-to-event analysis, a flexible parametric approach is to model the hazard rate as a piecewise constant function of time. However, the change points and values of the piecewise constant hazard are usually unknown and need to…

Methodology · Statistics 2024-08-08 Manuel Rosenbaum , Jan Beyersmann , Michael Vogt

We propose a novel approach to estimate the Cox model with temporal covariates. Our new approach treats the temporal covariates as arising from a longitudinal process which is modeled jointly with the event time. Different from the…

Methodology · Statistics 2018-02-05 Xiaoqi Zhang , Xiaobing Zhao , Yanqiao Zheng

The Cox proportional hazards model is the most widely used regression model in univariate survival analysis. Extensions of the Cox model to bivariate survival data, however, remain scarce. We propose two novel extensions based on a…

Methodology · Statistics 2025-11-12 Yael Travis-Lumer , Micha Mandel , Ido Didi Fabian , Rebecca A. Betensky , Malka Gorfine

We consider structural credit modeling in the important special case where the log-leverage ratio of the firm is a time-changed Brownian motion (TCBM) with the time-change taken to be an independent increasing process. Following the…

Statistical Finance · Quantitative Finance 2011-02-14 T. R. Hurd , Zhuowei Zhou

Single-index models or time-to-event models are frequently applied in empirical research. These models are non-identifiable in presence of unknown (dependent) censoring or competing risks and do not give informative results in empirical…

Methodology · Statistics 2026-03-25 Jia-Han Shih , Simon M. S. Lo , Ralf A. Wilke

In prevalent cohort studies where subjects are recruited at a cross-section, the time to an event may be subject to length-biased sampling, with the observed data being either the forward recurrence time, or the backward recurrence time, or…

Statistics Theory · Mathematics 2019-04-05 Pourab Roy , Jason P. Fine , Michael R. Kosorok

This paper introduces TimeDepFrail, an R package designed to implement time-varying shared frailty models by extending the traditional shared frailty Cox model to allow the frailty term to evolve across time intervals. These models are…

Computation · Statistics 2025-01-23 Alessandra Ragni , Giulia Romani , Chiara Masci

The advent of wearable and sensor technologies now leads to functional predictors which are intrinsically infinite dimensional. While the existing approaches for functional data and survival outcomes lean on the well-established Cox model,…

Methodology · Statistics 2024-07-01 Rahul Ghosal , Marcos Matabuena , Sujit K. Ghosh

In this paper, our proposal consists of incorporating frailty into a statistical methodology for modeling time-to-event data, based on non-proportional hazards regression model. Specifically, we use the generalized time-dependent logistic…

In many biomedical research, recurrent events such as myocardial infraction, stroke, and heart failure often result in a terminal outcome such as death. Understanding the relationship among the multi-type recurrent events and terminal event…

Methodology · Statistics 2025-12-10 Mithun Kumar Acharjee , AKM Fazlur Rahman

This article proposes a method for measuring the latent risks involved in the recovery process of non performing loans in financial institutions and business firms that deal with collection and recovery processes. To that end, we apply the…

Applications · Statistics 2014-08-20 Mauro R. Oliveira , Francisco Louzada

Analysing subgroups defined by biomarkers is of increasing importance in clinical research. In some situations the biomarker is subject to misclassification error, meaning the true subgroups are identified with imperfect sensitivity and…

Methodology · Statistics 2018-01-16 Fang Wan , Andrew C. Titman , Thomas F. Jaki

The ratio of the hazard functions of two populations or two strata of a single population plays an important role in time-to-event analysis. Cox regression is commonly used to estimate the hazard ratio under the assumption that it is…

Methodology · Statistics 2022-07-13 Yujian Wu , Ted Westling

Semiparametric accelerated failure time (AFT) models directly relate the predicted failure times to covariates and are a useful alternative to models that work on the hazard function or the survival function. For case-cohort data, much less…

Computation · Statistics 2022-12-15 Steven Chiou , Sangwook Kang , Jun Yan

The classical reduced-form and filtration expansion framework in credit risk is extended to the case of multiple, non-ordered defaults, assuming that conditional densities of the default times exist. Intensities and pricing formulas are…

Risk Management · Quantitative Finance 2011-06-22 Younes Kchia , Martin Larsson

The problem of how to best select variables for confounding adjustment forms one of the key challenges in the evaluation of exposure effects in observational studies, and has been the subject of vigorous recent activity in causal inference.…

Methodology · Statistics 2021-12-02 Kelly Van Lancker , Oliver Dukes , Stijn Vansteelandt

Credit default prediction is a tabular learning problem with severe class imbalance, heterogeneous features, and tight latency budgets. Tabular Foundation Models (TFMs) approach this problem through in-context learning, which makes their…

Machine Learning · Computer Science 2026-05-19 Aditya Tanna , Mitul Solanki , Mohamed Bouadi , Nassim Bouarour , Pratinav Seth , Vinay Kumar Sankarapu

In many biomedical applications, outcome is measured as a ``time-to-event'' (eg. disease progression or death). To assess the connection between features of a patient and this outcome, it is common to assume a proportional hazards model,…

Statistics Theory · Mathematics 2020-08-11 Aliasghar Tarkhan , Noah Simon