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Related papers: System Reliability Estimation via Shrinkage

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Motivated by the increasing use of and rapid changes in array technologies, we consider the prediction problem of fitting a linear regression relating a continuous outcome $Y$ to a large number of covariates $\mathbf {X}$, for example,…

Applications · Statistics 2014-01-13 Philip S. Boonstra , Bhramar Mukherjee , Jeremy M. G. Taylor

Prognostics is a process of assessing the extent of deviation or degradation of a product from its expected normal operating condition, and then, based on continuous monitoring, predicting the future reliability of the product. By being…

Materials Science · Physics 2007-09-13 N. Vchare , M. Pecht

When developing risk prediction models, shrinkage methods are recommended, especially when the sample size is limited. Several earlier studies have shown that the shrinkage of model coefficients can reduce overfitting of the prediction…

Methodology · Statistics 2019-07-29 Ben Van Calster , Maarten van Smeden , Ewout W. Steyerberg

We seek to improve estimates of the power spectrum covariance matrix from a limited number of simulations by employing a novel statistical technique known as shrinkage estimation. The shrinkage technique optimally combines an empirical…

Astrophysics · Physics 2009-11-13 Adrian C. Pope , István Szapudi

Deep learning models, particularly Long Short-Term Memory (LSTM) networks, are widely used in time series forecasting due to their ability to capture complex temporal dependencies. However, evaluation integrity is often compromised by data…

Machine Learning · Computer Science 2025-12-09 Salma Albelali , Moataz Ahmed

Nonparametric estimation of the gap time distribution in a simple renewal process may be considered a problem in survival analysis under particular sampling frames corresponding to how the renewal process is observed. This note describes…

Applications · Statistics 2023-05-02 Richard D. Gill , Niels Keiding

A retention strategy based on an enlightened lapse model is a powerful profitabilitylever for a life insurer. Some machine learning models are excellent at predicting lapse,but from the insurer's perspective, predicting which policyholder…

Statistics Theory · Mathematics 2023-07-14 Mathias Valla , Xavier Milhaud , Anani Ayodélé Olympio

This paper explores the estimation of a panel data model with cross-sectional interaction that is flexible both in its approach to specifying the network of connections between cross-sectional units, and in controlling for unobserved…

Econometrics · Economics 2021-11-23 Ayden Higgins , Federico Martellosio

As models in various fields are becoming more complex, associated computational demands have been increasing significantly. Reliability analysis for these systems when failure probabilities are small is significantly challenging, requiring…

Applications · Statistics 2020-02-05 Zeyu Wang , Abdollah Shafieezadeh

This work proposes a Bayesian rule based on the mixture of a point mass function at zero and the logistic distribution to perform wavelet shrinkage in nonparametric regression models with stationary errors (with short or long-memory…

Methodology · Statistics 2024-04-24 Alex Rodrigo dos S. Sousa , Mauricio Zevallos

Sparse regression and classification estimators that respect group structures have application to an assortment of statistical and machine learning problems, from multitask learning to sparse additive modeling to hierarchical selection.…

Methodology · Statistics 2024-03-11 Ryan Thompson , Farshid Vahid

Investigation of the reliability of technical systems is one of the application areas of stochastic processes. The reliability of a technical system is based on two main elements. The first is the connection type of the system, and the…

Optimization and Control · Mathematics 2024-05-22 Yunus Güral , Mehmet Gürcan

Log-logistic distribution is a flexible distribution that can model a wide range of failure patterns in the field of electrical, electronic and mechanical engineering and is often used in reliability inference. However, the inference of the…

Methodology · Statistics 2026-05-08 Bowen Liu , Malwane M. A. Ananda , Sam Weerahandi

A load sharing system has several components and the failure of one component can affect the lifetime of the surviving components. Since component failure does not equate to system failure for different system designs, the analysis of the…

Applications · Statistics 2023-07-20 Tim Pesch , Erhard Cramer , Edward Cripps , Adriano Polpo

This paper consider an MMLE (Modified Maximum Likelihood Estimation) based scheme to estimate software reliability using exponential distribution. The MMLE is one of the generalized frameworks of software reliability models of Non…

Software Engineering · Computer Science 2011-11-09 R. Satya Prasad , Bandla Sreenivasa Rao , R. R. L. Kantam

Different strategies of reliability theory for the analysis of coherent systems have been studied by various researchers. Here, the Gini-type index is utilized as an applicable tool for the study and comparison of the ageing properties of…

Data Analysis, Statistics and Probability · Physics 2021-03-23 Motahareh Parsa , Antonio Di Crescenzo , Hadi Jabbari

This paper defines a Maximum Likelihood Estimator (MLE) for the admittance matrix estimation of distribution grids, utilising voltage magnitude and power measurements collected only from common, unsychronised measuring devices (Smart…

Systems and Control · Electrical Eng. & Systems 2022-10-06 Lisa Laurent , Jean-Sébastien Brouillon , Giancarlo Ferrari-Trecate

This paper presents a hierarchical Bayesian approach to the estimation of components' reliability (survival) using a Weibull model for each of them. The proposed method can be used to estimation with general survival censored data, because…

Methodology · Statistics 2014-07-17 Felipe L. Bhering , Carlos A. de B. Pereira , Adriano Polpo

A novel approach to improve prediction and inference in M-estimation by integrating external information from heterogeneous populations is proposed. Our method leverages joint asymptotics to combine estimates from external and internal…

Methodology · Statistics 2025-09-08 Walter Dempsey , Jeremy M. G. Taylor

Degradation data are considered for assessing reliability in highly reliable systems. The usual assumption is that degradation units come from a homogeneous population. But in presence of high variability in the manufacturing process, this…

Methodology · Statistics 2026-01-15 Barin Karmakar , Biswabrata Pradhan