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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…

统计方法学 · 统计学 2026-03-03 Kiran Prajapat , Sharmishtha Mitra , Debasis Kundu

Survival models are used in various fields, such as the development of cancer treatment protocols. Although many statistical and machine learning models have been proposed to achieve accurate survival predictions, little attention has been…

机器学习 · 计算机科学 2020-03-26 Hrushikesh Loya , Pranav Poduval , Deepak Anand , Neeraj Kumar , Amit Sethi

We introduce a semi-parametric Bayesian model for survival analysis. The model is centred on a parametric baseline hazard, and uses a Gaussian process to model variations away from it nonparametrically, as well as dependence on covariates.…

机器学习 · 统计学 2016-11-04 Tamara Fernández , Nicolás Rivera , Yee Whye Teh

Stress-strength models are widely used to assess the reliability of systems under uncertain conditions. While most studies assume independence between stress and strength variables, such an assumption may be unrealistic in many practical…

统计方法学 · 统计学 2026-04-15 Fatih Kızılaslan

We propose a sequential design method aiming at the estimation of an extreme quantile based on a sample of dichotomic data corresponding to peaks over a given threshold. This study is motivated by an industrial challenge in material…

统计方法学 · 统计学 2020-04-06 Michel Broniatowski , Emilie Miranda

We obtain a reliability acceptance sampling plan for independent competing risk data under interval censoring schemes using the Bayesian approach. At first, the Bayesian reliability acceptance sampling plan is obtained where the decision…

应用统计 · 统计学 2025-10-21 Biswabrata Pradhan , Rathin Das

The Unit Weibull distribution with parameters $\alpha$ and $\beta$ is considered to study in the context of dual generalized order statistics. For the analysis purpose, Bayes estimators based on symmetric and asymmetric loss functions are…

统计方法学 · 统计学 2025-02-06 Qazi J. Azhad , Abdul Nasir Khan , Bhagwati Devi , Jahangir Sabbir Khan , Ayush Tripathi

The stochastic comparisons of parallel and series system are worthy of study. In this paper, we present some stochastic comparisons of parallel and series systems having independent components from Gumble distribution with two parameters…

统计理论 · 数学 2019-05-03 Surojit Biswas , Nitin Gupta

In this article, bootstrap and Shewhart type process control monitoring schemes are proposed for the quantiles of generalized Weibull distribution under hybrid censoring. Monitoring schemes for the quantiles of Weibull, generalized…

统计方法学 · 统计学 2023-09-22 Amarjit Kundu , Shovan Chowdhury , Bidhan Modok

Estimating the distribution over failures is a key step in validating autonomous systems. Existing approaches focus on finding failures for a small range of initial conditions or make restrictive assumptions about the properties of the…

机器人学 · 计算机科学 2023-05-18 Harrison Delecki , Anthony Corso , Mykel J. Kochenderfer

In statistical process control Weibull distribution can be used to model the time between events or failures (TBE) in a process with increasing decreasing or constant failure rates. Specifically it helps in monitoring processes where the…

应用统计 · 统计学 2025-08-11 Tanuja Negi

In statistical exercises where there are several candidate models, the traditional approach is to select one model using some data driven criterion and use that model for estimation, testing and other purposes, ignoring the variability of…

统计理论 · 数学 2008-12-18 Snigdhansu Chatterjee , Nitai D. Mukhopadhyay

A novel mixture cure frailty model is introduced for handling censored survival data. Mixture cure models are preferable when the existence of a cured fraction among patients can be assumed. However, such models are heavily underexplored:…

统计方法学 · 统计学 2025-05-07 Fatih Kızılaslan , David Michael Swanson , Valeria Vitelli

In this work, we revisit the estimation of the model parameters of a Weibull distribution based on iid observations, using the maximum likelihood estimation (MLE) method which does not yield closed expressions of the estimators. Among other…

统计计算 · 统计学 2025-01-22 Buu-Chau Truong , Peter Mphekgwana , Nabendu Pal

Especially when facing reliability data with limited information (e.g., a small number of failures), there are strong motivations for using Bayesian inference methods. These include the option to use information from physics-of-failure or…

统计方法学 · 统计学 2022-10-27 Qinglong Tian , Colin Lewis-Beck , Jarad Niemi , William Meeker

Databases derived from electronic health records (EHRs) are commonly subject to left truncation, a type of selection bias induced due to patients needing to survive long enough to satisfy certain entry criteria. Standard methods to adjust…

统计方法学 · 统计学 2022-03-01 Arjun Sondhi

In this review, we present a simple guide for researchers to obtain pseudo-random samples with censored data. We focus our attention on the most common types of censored data, such as type I, type II, and random censoring. We discussed the…

Survival analysis is a fundamental tool for modeling time-to-event data in healthcare, engineering, and finance, where censored observations pose significant challenges. While traditional methods like the Beran estimator offer nonparametric…

机器学习 · 计算机科学 2025-06-13 Andrei V. Konstantinov , Vlada A. Efremenko , Lev V. Utkin

Structural failure time models are causal models for estimating the effect of time-varying treatments on a survival outcome. G-estimation and artificial censoring have been proposed to estimate the model parameters in the presence of…

统计方法学 · 统计学 2019-02-19 Shu Yang , Karen Pieper , Frank Cools

We investigate the performance of model based bootstrap methods for constructing point-wise confidence intervals around the survival function with interval censored data. We show that bootstrapping from the nonparametric maximum likelihood…

统计方法学 · 统计学 2013-12-24 Bodhisattva Sen , Gongjun Xu