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Accelerated life tests (ALTs) play a crucial role in reliability analyses, providing lifetime estimates of highly reliable products. Among ALTs, step-stress design increases the stress level at predefined times, while maintaining a constant…

统计理论 · 数学 2024-02-12 Narayanaswamy Balakrishnan , María Jaenada , Leandro Pardo

Accelerated life-tests (ALTs) are used for inferring lifetime characteristics of highly reliable products. In particular, step-stress ALTs increase the stress level at which units under test are subject at certain pre-fixed times, thus…

统计理论 · 数学 2024-02-12 Narayanaswamy Balakrishnan , Maria Jaenada , Leandro Pardo

In this paper, we investigate accelerated life testing (ALT) models based on the Weibull distribution with stress-dependent shape and scale parameters. Temperature and voltage are treated as stress variables influencing the lifetime…

统计方法学 · 统计学 2026-01-13 Rahul Konar , Ramnivas Jat , Neeraj Joshi , Raghu Nandan Sengupta

Many modern products exhibit high reliability, often resulting in long times to failure. Consequently, conducting experiments under normal operating conditions may require an impractically long duration to obtain sufficient failure data for…

统计方法学 · 统计学 2025-06-06 María Jaenada , Juan Manuel Millán , Leandro Pardo

Accelerated life testing (ALT) is a method of reducing the lifetime of components through exposure to extreme stress. This method of obtaining lifetime information involves the design of a testing experiment, i.e., an accelerated test plan.…

应用统计 · 统计学 2025-11-10 Owen McGrath , Kevin Burke

Many modern products are highly reliable, often exhibiting long lifetimes. As a result, conducting experiments under normal operating conditions can be prohibitively time-consuming to collect sufficient failure data for robust statistical…

统计方法学 · 统计学 2026-03-31 María Jaenada , Juan Millán , Leandro Pardo

One-shot devices analysis involves an extreme case of interval censoring, wherein one can only know whether the failure time is either before or after the test time. Some kind of one-shot devices do not get destroyed when tested, and so can…

统计方法学 · 统计学 2022-04-26 Narayanaswamy Balakrishnan , Elena Castilla , María Jaenada , Leandro Pardo

Many modern products exhibit high reliability under normal operating conditions. Conducting life tests under these conditions may result in very few observed failures, insufficient for accurate inferences. Instead, accelerated life tests…

应用统计 · 统计学 2024-09-25 Narayanaswamy Balakrishnan , María Jaenada , Leandro Pardo

Accelerated life testing (ALT) is typically used to assess the reliability of material's lifetime under desired stress levels. Recent advances in material engineering have made a variety of material alternatives readily available. To…

统计方法学 · 统计学 2020-01-17 Ye Chen , Qiong Zhang , Mingyang Li , Wenjun Cai

One-shot devices data represent an extreme case of interval censoring.Some kind of one-shot units do not get destroyed when tested, and so, survival units can continue within the test providing extra information about their lifetime.…

统计理论 · 数学 2022-05-17 Narayanaswamy Balakrishnan , María Jaenada , Leandro Pardo

Traditional step-stress accelerated life testing models assume that test units originate from a homogeneous population. Recently, Lu and Kateri (2025) proposed a heterogeneous cumulative exposure based SSALT model to account for the…

统计方法学 · 统计学 2026-05-21 Pranoy Palit , Ayan Pal , Kiran Prajapat

Many products in engineering are highly reliable with large mean lifetimes to failure. Performing lifetests under normal operations conditions would thus require long experimentation times and high experimentation costs. Alternatively,…

统计方法学 · 统计学 2024-02-12 Narayanaswamy Balakrishnan , María Jaenada , Leandro Pardo

Researchers have widely used accelerated life tests to determine an optimal inspection plan for lot acceptance. All such plans are proposed by assuming a known relationship between the lifetime characteristic(s) and the accelerating stress…

统计计算 · 统计学 2026-02-06 Sandip Barui , Shovan Chowdhury

We propose a Bayesian framework for planning simple step-stress accelerated life tests when items are subject to two independent competing failure modes We assume that the competing risks are independent, with lifetimes following Weibull…

统计方法学 · 统计学 2026-04-13 Kiran Prajapat

In this article we consider a simple step stress set up under the cumulative exposure model assumption. At each stress level the lifetime distribution of the experimental units are assumed to follow the generalized exponential distribution.…

应用统计 · 统计学 2017-07-18 Debashis Samanta , Debasis Kundu , Ayon Ganguly

A one-shot device is a unit that operates only once, after which it is either destroyed or needs to be rebuilt. For this type of device, the operational status can only be assessed at a specific inspection time, determining whether failure…

统计理论 · 数学 2025-03-03 María González-Calderón , María Jaenada , Leandro Pardo

In this article, we consider models for time-to-event data obtained from experiments in which stress levels are altered at intermediate stages during the observation period. These experiments, known as step-stress tests, belong to the…

应用统计 · 统计学 2018-07-04 Nandini Kannan , Debasis Kundu

In recent times, products have become increasingly complex and highly reliable, so failures typically occur after long periods of operation under normal conditions and may arise from multiple causes. This paper employs simple step-stress…

统计方法学 · 统计学 2025-08-01 Rathin Das , Soumya Roy , Biswabrata Pradhan

Traditional benchmarks for large language models (LLMs), such as HELM and AIR-BENCH, primarily assess safety through breadth-oriented evaluation across diverse tasks and risk categories. However, real-world deployment often exposes a…

机器学习 · 计算机科学 2026-04-29 Keita Broadwater

In this paper, we focus on the parametric inference based on the Tampered Random Variable (TRV) model for simple step-stress life testing (SSLT) using Type-II censored data. The baseline lifetime of the experimental units, under normal…

统计方法学 · 统计学 2023-02-20 Subhankar Dutta , Farha Sultana , Suchandan Kayal
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