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Analysis of competing risks data is often complicated by the incomplete or selectively missing information on the cause of failure. Standard approaches typically assume that the cause of failure is missing at random (MAR), an assumption…

This paper discusses and analyzes various models of binary correlated sources, which may be relevant in several distributed communication scenarios. These models are statistically characterized in terms of joint Probability Mass Function…

Information Theory · Computer Science 2023-02-08 Marco Martalo' , Riccardo Raheli

Semi-competing risks refers to the survival analysis setting where the occurrence of a non-terminal event is subject to whether a terminal event has occurred, but not vice versa. Semi-competing risks arise in a broad range of clinical…

Methodology · Statistics 2024-04-16 Harrison T. Reeder , Junwei Lu , Sebastien Haneuse

Kundu and Gupta (2007, Metrika, 65, 159 - 170) provided the analysis of Type-I hybrid censored competing risks data, when the lifetime distribution of the competing causes of failures follow exponential distribution. In this paper we…

Applications · Statistics 2017-07-18 Arnab Koley , D. Kundu , Ayon Ganguly

Competing risks models for a repairable system subject to several failure modes are discussed. Under minimal repair, it is assumed that each failure mode has a power law intensity. An orthogonal reparametrization is used to obtain an…

The Cox regression, a semi-parametric method of survival analysis, is extremely popular in biomedical applications. The proportional hazards assumption is a key requirement in the Cox model. To accommodate non-proportional hazards, we…

Methodology · Statistics 2022-06-13 Alexander Begun , Elena Kulinskaya

This paper re-examines the problem of estimating risk premia in linear factor pricing models. Typically, the data used in the empirical literature are characterized by weakness of some pricing factors, strong cross-sectional dependence in…

Econometrics · Economics 2019-04-09 Stanislav Anatolyev , Anna Mikusheva

Semi-competing risks data arise when both non-terminal and terminal events are considered in a model. Such data with multiple events of interest are frequently encountered in medical research and clinical trials. In this framework, terminal…

Methodology · Statistics 2022-11-21 Fatemeh Mahmoudi , Xuewen Lu

Since survival data occur over time, often important covariates that we wish to consider also change over time. Such covariates are referred as time-dependent covariates. Quantile regression offers flexible modeling of survival data by…

Methodology · Statistics 2014-05-01 Malka Gorfine , Yair Goldberg , Yaacov Ritov

The four-parameter generalized beta distribution of the second kind (GBII) has been proposed for modelling insurance losses with heavy-tailed features. The aim of this paper is to present a parametric composite GBII regression modelling by…

Methodology · Statistics 2024-01-29 Zhengxiao Li , Fei Wang , Zhengtang Zhao

Birnbaum-Saunders models have been widely used to model positively skewed data. In this paper, we introduce a bivariate Birnbaum-Saunders distribution which has the means as parameters. We present some properties of the univariate and…

Methodology · Statistics 2018-05-01 Helton Saulo , Jeremias Leão , Roberto Vila , Victor Leiva , Vera Tomazella

Due to the nature of pure-tone audiometry test, hearing loss data often has a complicated correlation structure. Generalized estimating equation (GEE) is commonly used to investigate the association between exposures and hearing loss,…

Methodology · Statistics 2025-08-13 Zhuoran Wei , Hanbing Zhu , Sharon Curhan , Gary Curhan , Molin Wang

Latent variable models are popularly used to measure latent factors (e.g., abilities and personalities) from large-scale assessment data. Beyond understanding these latent factors, the covariate effect on responses controlling for latent…

Methodology · Statistics 2026-01-12 Jing Ouyang , Chengyu Cui , Kean Ming Tan , Gongjun Xu

Continuous-time multi-state survival models can be used to describe health-related processes over time. In the presence of interval-censored times for transitions between the living states, the likelihood is constructed using transition…

Methodology · Statistics 2017-03-24 Robson J. M. Machado , Ardo van den Hout

This paper is concerned with an optimal investment problem under correlated noises in the financial market, and the expected utility functional is hyperbolic absolute risk aversion (HARA) with the exponent $\gamma\neq0$. The problem can be…

Optimization and Control · Mathematics 2019-07-12 Le Yang , Yueyang Zheng , Jingtao Shi

We discuss the semiparametric modeling of mark-recapture-recovery data where the temporal and/or individual variation of model parameters is explained via covariates. Typically, in such analyses a fixed (or mixed) effects parametric model…

Applications · Statistics 2015-05-21 Théo Michelot , Roland Langrock , Thomas Kneib , Ruth King

In this paper, a competing risks model is analyzed based on improved adaptive type-II progressive censored sample (IAT-II PCS). Two independent competing causes of failures are considered. It is assumed that lifetimes of the competing…

Methodology · Statistics 2023-02-20 Subhankar Dutta , Suchandan Kayal

Different dependence scenarios can arise in multivariate extremes, entailing careful selection of an appropriate class of models. In bivariate extremes, the variables are either asymptotically dependent or are asymptotically independent.…

Methodology · Statistics 2015-10-30 Jennifer Wadsworth , Jonathan Tawn , Anthony Davison , Daniel Elton

The problem of estimating location (scale) parameters $\theta_1$ and $\theta_2$ of two distributions when the ordering between them is known apriori (say, $\theta_1\leq \theta_2$) has been extensively studied in the literature. Many of…

Statistics Theory · Mathematics 2022-07-05 Naresh Garg , Neeraj Misra

We consider studies where multiple measures on an outcome variable are collected over time, but some subjects drop out before the end of follow up. Analyses of such data often proceed under either a 'last observation carried forward' or…

Methodology · Statistics 2022-07-26 Oliver Dukes , David Richardson , Eric Tchetgen Tchetgen