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Most normality tests in the literature are performed for scalar and independent samples. Thus, they become unreliable when applied to colored processes, hampering their use in realistic scenarios.We focus on Mardia's multivariate kurtosis,…

统计方法学 · 统计学 2022-03-02 Sara Elbouch , Olivier Michel , Pierre Comon

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…

统计方法学 · 统计学 2024-06-07 Francesco Lagona , Marco Mingione

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…

When analyzing time-to-event data, it often happens that some subjects do not experience the event of interest. Survival models that take this feature into account (called `cure models') have been developed in the presence of covariates.…

统计理论 · 数学 2019-09-19 Mikael Escobar-Bach , Ingrid Van Keilegom

We propose completely nonparametric methodology to investigate location-scale modelling of two-component mixture cure models, where the responses of interest are only indirectly observable due to the presence of censoring and the presence…

统计方法学 · 统计学 2018-03-12 Justin Chown , Cedric Heuchenne , Ingrid Van Keilegom

We consider nonparametric inference for event time distributions based on current status data. We show that in this scenario conventional mixture priors, including the popular Dirichlet process mixture prior, lead to biologically…

统计方法学 · 统计学 2020-09-23 Giorgio Paulon , Peter Müller , Victor G. Sal Y Rosas

In survival analysis, estimating the fraction of 'immune' or 'cured' subjects who will never experience the event of interest, requires a sufficiently long follow-up period. A few statistical tests have been proposed to test the assumption…

统计方法学 · 统计学 2026-01-13 Tsz Pang Yuen , Eni Musta , Ingrid Van Keilegom

Risk evaluation is a forecast, and its validity must be backtested. Probability distribution forecasts are used in this work and allow for more powerful validations compared to point forecasts. Our aim is to use bivariate copulas in order…

风险管理 · 定量金融 2023-11-21 Boris David , Gilles Zumbach

We propose a new class of multivariate survival models based on archimedean copulas with margins modeled by the Yang and Prentice (YP) model. The Ali-Mikhail-Haq (AMH), Clayton, Frank, Gumbel-Hougaard (GH), and Joe copulas are employed to…

统计方法学 · 统计学 2022-03-08 W. D. R. Miranda Filho , F. N. Demarqui

Medical advances have increased cancer survival rates and the possibility of finding a cure. Hence, it is crucial to evaluate the impact of treatments both in terms of cure and prolongation of survival. To achieve this, we may use a Cox…

统计方法学 · 统计学 2024-12-31 Marta Cipriani , Marta Fiocco , Marco Alfò , Maria Quelhas , Eni Musta

We consider survival data from a population with cured subjects in the presence of mismeasured covariates. We use the mixture cure model to account for the individuals that will never experience the event and at the same time distinguish…

统计方法学 · 统计学 2020-09-15 Eni Musta , Ingrid Van Keilegom

This paper proposes a new extension of the linear failure rate (LFR) model to better capture real-world lifetime data. The model incorporates an additional shape parameter to increase flexibility. It helps model the minimum survival time…

统计方法学 · 统计学 2026-01-13 Suchismita Das , Akul Ameya , Cahyani Karunia Putri

We propose a new method for the analysis of competing risks data with long term survivors. The proposed method enables us to estimate the overall survival probability and cure fraction simultaneously. We formulate the effect of covariates…

统计理论 · 数学 2022-04-28 Sudheesh K Kattumannil , Sreedevi E P , Sankaran P G

We proposed a new statistical dependency measure called Copula Dependency Coefficient(CDC) for two sets of variables based on copula. It is robust to outliers, easy to implement, powerful and appropriate to high-dimensional variables. These…

机器学习 · 统计学 2018-03-28 Hangjin Jiang , Yiming Ding

To address an important risk classification issue that arises in clinical practice, we propose a new mixture model via latent cure rate markers for survival data with a cure fraction. In the proposed model, the latent cure rate markers are…

应用统计 · 统计学 2009-10-12 Sungduk Kim , Yingmei Xi , Ming-Hui Chen

Recent work has focused on the potential and pitfalls of causal identification in observational studies with multiple simultaneous treatments. Building on previous work, we show that even if the conditional distribution of unmeasured…

统计方法学 · 统计学 2025-03-28 Jiajing Zheng , Alexander D'Amour , Alexander Franks

In this paper a new long-term survival distribution is proposed. The so called long term Fr\'echet distribution allows us to fit data where a part of the population is not susceptible to the event of interest. This model may be used, for…

统计理论 · 数学 2017-09-25 Pedro Luiz Ramos , Diego Nascimento , Francisco Louzada

Cardiovascular diseases are major causes of mortality globally. They often co-occur and are interrelated, leading to partial-order relationships among their onset times. However, these onset times are subject to informative censoring due to…

统计方法学 · 统计学 2026-04-07 Tonghui Yu , Liming Xiang

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…

统计方法学 · 统计学 2022-10-27 Alise Danielle Midtfjord , Riccardo De Bin , Arne Bang Huseby

In many studies multivariate event time data are generated from clusters having a possibly complex association pattern. Flexible models are needed to capture this dependence. Vine copulas serve this purpose. Inference methods for vine…

应用统计 · 统计学 2017-07-25 Nicole Barthel , Candida Geerdens , Matthias Killiches , Paul Janssen , Claudia Czado