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This paper introduces a new four-parameter lifetime model called the Weibull Birnbaum-Saunders distribution. This new distribution represents a more flexible model for the lifetime data. Its failure rate function can be increasing,…

Applications · Statistics 2016-04-19 Lazhar Benkhelifa

In numerous instances, the generalized exponential distribution can be used as an alternative to the most widely used non-regular family of distributions: Weibull, gamma, lognormal with three-parameters when analyzing lifetime or any skewed…

Methodology · Statistics 2026-03-03 Kiran Prajapat , Sharmishtha Mitra , Debasis Kundu

We propose a semiparametric framework for causal inference with right-censored survival outcomes and many weak invalid instruments, motivated by Mendelian randomization in biobank studies where classical methods may fail. We adopt an…

Methodology · Statistics 2025-10-06 Qiushi Bu , Wen Su , Xingqiu Zhao , Zhonghua Liu

This paper proposes a robust Bayesian accelerated failure time model for censored survival data. We develop a new family of life-time distributions using a scale mixture of the generalized gamma distributions, where we propose a novel super…

Methodology · Statistics 2025-04-16 Yasuyuki Hamura , Takahiro Onizuka , Shintaro Hashimoto , Shonosuke Sugasawa

In survival analysis, estimating the conditional survival function given predictors is often of interest. There is a growing trend in the development of deep learning methods for analyzing censored time-to-event data, especially when…

Machine Learning · Statistics 2025-03-13 Sehwan Kim , Rui Wang , Wenbin Lu

Nonparametric maximum likelihood estimators (MLEs) in inverse problems often have non-normal limit distributions, like Chernoff's distribution. However, if one considers smooth functionals of the model, with corresponding functionals of the…

Statistics Theory · Mathematics 2023-10-24 Piet Groeneboom

A Hybrid censoring scheme is mixture of Type-I and Type-II censoring schemes. Based on hybrid censored samples, this paper deals with the in- ference on R = P(X > Y ), when X and Y are two independent Weibull distributions with different…

Other Statistics · Statistics 2017-07-20 Akbar Asgharzadeh , Mohammad Kazemi , Debasis Kundu

Survival analysis holds a crucial role across diverse disciplines, such as economics, engineering and healthcare. It empowers researchers to analyze both time-invariant and time-varying data, encompassing phenomena like customer churn,…

We propose to integrate weapon system features (such as weapon system manufacturer, deployment time and location, storage time and location, etc.) into a parameterized Cox-Weibull [1] reliability model via a neural network, like DeepSurv…

Applications · Statistics 2023-04-17 Michael Potter , Benny Cheng

We propose a semiparametric data fusion framework for efficient inference on survival probabilities by integrating right-censored and current status data. Existing data fusion methods focus largely on fusing right-censored data only, while…

Methodology · Statistics 2025-09-15 Xiudi Li , Sijia Li

A key challenge in probabilistic regression is ensuring that predictive distributions accurately reflect true empirical uncertainty. Minimizing overall prediction error often encourages models to prioritize informativeness over calibration,…

Machine Learning · Statistics 2026-02-17 Ádám Jung , Domokos M. Kelen , András A. Benczúr

Computation of sample size is important when designing clinical trials. The presence of competing risks makes the design of clinical trials with time-to-event endpoints cumbersome. A model based on the subdistribution hazard ratio (SHR) is…

Methodology · Statistics 2023-11-22 Xiang Geng , Zhaojin Li , Chengfeng Zhang , Yanjie Wang , Haoning Shen , Zhiheng Huang , Yawen Hou , Zheng Chen

Survival analysis aims at modeling the relationship between covariates and event occurrence with some untracked (censored) samples. In implementation, existing methods model the survival distribution with strong assumptions or in a discrete…

Machine Learning · Computer Science 2023-05-25 Yu Ling , Weimin Tan , Bo Yan

Typically, case-control studies to estimate odds-ratios associating risk factors with disease incidence from logistic regression only include cases with newly diagnosed disease. Recently proposed methods allow incorporating information on…

Methodology · Statistics 2020-10-19 Soutrik Mandal , Jing Qin , Ruth M. Pfeiffer

Analysis of survival data with biased samples caused by left-truncation or length-biased sampling has received extensive interest. Many inference methods have been developed for various survival models. These methods, however, break down…

Statistics Theory · Mathematics 2018-12-31 Li-Pang Chen

Our objective is to construct well-calibrated prediction sets for a time-to-event outcome subject to right-censoring with guaranteed coverage. Inspired by modern conformal inference, our approach avoids the need for a well-specified…

Methodology · Statistics 2026-01-27 Rebecca Farina , Eric J. Tchetgen Tchetgen , Arun Kumar Kuchibhotla

The Power Generalized DUS (PGDUS) Transformation is significant in reliability theory, especially for analyzing parallel systems. From the Generalized Extreme Value distribution, Inverse Weibull model particularly has wide applicability in…

Methodology · Statistics 2025-04-18 P Gauthami , V M Chacko

The distribution-free method of conformal prediction (Vovk et al, 2005) has gained considerable attention in computer science, machine learning, and statistics. Candes et al. (2023) extended this method to right-censored survival data,…

Methodology · Statistics 2025-06-04 Jing Qin , Jin Piao , Jing Ning , Yu Shen

Accurate predictions of when a component will fail are crucial when planning maintenance, and by modeling the distribution of these failure times, survival models have shown to be particularly useful in this context. The presented…

Machine Learning · Computer Science 2024-03-28 Olov Holmer , Mattias Krysander , Erik Frisk

Manufacturers are required to demonstrate products meet reliability targets. A typical way to achieve this is with reliability demonstration tests (RDTs), in which a number of products are put on test and the test is passed if a target…

Methodology · Statistics 2019-05-22 Kevin James Wilson , Malcolm Farrow
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