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Recently, a step-stress accelerated degradation test (SSADT) plan, in which the stress level is elevated when the degradation value of a product crosses a pre-specified value, was proposed. The times of stress level elevating are random and…

Applications · Statistics 2014-12-18 Morteza Amini , Soudabeh Shemehsavar , Zhengqiang Pan

The log-logistic distribution is a versatile parametric family widely used across various applied fields, including survival analysis, reliability engineering, and econometrics. When estimating parameters of the log-logistic distribution,…

Statistics Theory · Mathematics 2025-03-19 A. Felipe , M. Jaenada , P. Miranda , L. 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…

Methodology · Statistics 2020-01-17 Ye Chen , Qiong Zhang , Mingyang Li , Wenjun Cai

We investigate robust parameter estimation and testing procedure for multivariate diffusion processes observed at high frequency via the minimum density power divergence estimator (MDPDE). Within a general diffusion framework and under…

Methodology · Statistics 2026-03-17 Sourojyoti Barick

In the literature, the reliability analysis of one-shot devices is found under accelerated life testing in the presence of various stress factors. The application of one-shot devices can be extended to the bio-medical field, where we often…

Applications · Statistics 2023-11-07 Shanya Baghel , Shuvashree Mondal

The main objective of accelerated life tests (ALTs) is to predict fraction failings of products in the field. However, there are often discrepancies between the predicted fraction failing from the lab testing data and that from the field…

Applications · Statistics 2014-01-13 Zhi-Sheng Ye , Yili Hong , Yimeng Xie

We propose a model for multiclass classification of time series to make a prediction as early and as accurate as possible. The matrix sequential probability ratio test (MSPRT) is known to be asymptotically optimal for this setting, but…

Machine Learning · Computer Science 2021-06-01 Taiki Miyagawa , Akinori F. Ebihara

Outliers can seriously distort statistical inference by inducing excessive sensitivity in the likelihood function, thereby compromising the reliability of Bayesian estimation. To address this issue, we develop a robust Bayesian estimation…

Statistics Theory · Mathematics 2026-02-09 Jeongho Lee , Junmo Song

One of the important problem in reliability analysis is computation of stress-strength reliability. But it is impractical to compute it in certain situations. So the estimation stay as an alternative solution to get an approximate value of…

Methodology · Statistics 2022-12-16 Beenu Thomas , V. M. Chacko

The minimum density power divergence estimator (MDPDE) has gained significant attention in the literature of robust inference due to its strong robustness properties and high asymptotic efficiency; it is relatively easy to compute and can…

Statistics Theory · Mathematics 2025-09-16 Suryasis Jana , Subhrajyoty Roy , Ayanendranath Basu , Abhik Ghosh

Marginal maximum likelihood estimation (MMLE) in item response theory (IRT) is highly sensitive to aberrant responses, such as careless answering and random guessing, which can reduce estimation accuracy. To address this issue, this study…

Methodology · Statistics 2025-02-18 Yuki Itaya , Kenichi Hayashi

A promising way to improve the sample efficiency of reinforcement learning is model-based methods, in which many explorations and evaluations can happen in the learned models to save real-world samples. However, when the learned model has a…

Machine Learning · Computer Science 2022-09-14 Haoxin Lin , Yihao Sun , Jiaji Zhang , Yang Yu

M-estimators offer simple robust alternatives to the maximum likelihood estimator. Much of the robustness literature, however, has focused on the problems of location, location-scale and regression estimation rather than on estimation of…

Methodology · Statistics 2017-06-20 Arun Kumar Kuchibhotla , Somabha Mukherjee , Ayanendranath Basu

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…

Methodology · Statistics 2026-01-13 Rahul Konar , Ramnivas Jat , Neeraj Joshi , Raghu Nandan Sengupta

Reinforcement Learning (RL) has proven effective in solving complex decision-making tasks across various domains, but challenges remain in continuous-time settings, particularly when state dynamics are governed by stochastic differential…

Machine Learning · Computer Science 2025-09-19 Chenyang Jiang , Donggyu Kim , Alejandra Quintos , Yazhen Wang

Adaptive experimental designs have gained popularity in clinical trials and online experiments. Unlike traditional, fixed experimental designs, adaptive designs can dynamically adjust treatment randomization probabilities and other design…

Methodology · Statistics 2025-08-19 Wenxin Zhang , Mark van der Laan

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…

Methodology · Statistics 2026-05-21 Pranoy Palit , Ayan Pal , Kiran Prajapat

This paper derives a new family of estimators, namely the minimum density power divergence estimators, as a robust generalization of the maximum likelihood estimator for the polytomous logistic regression model. Based on these estimators, a…

Methodology · Statistics 2018-06-27 E. Castilla , A. Ghosh , N. Martín , L. Pardo

Accelerated life testing (ALT) can significantly reduce the economic, time, and labor costs of life testing in the process of equipment, device, and material research and development (R&D), and improve R&D efficiency. This paper proposes a…

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…

Computation · Statistics 2026-02-06 Sandip Barui , Shovan Chowdhury