Proceedings Article10.1109/ICRMS.2009.5270187
Maximum likelihood estimation of weibull distribution based on random censored data and its application
Haibo Li,Zhengping Zhang,Yanping Hu,Deqiang Zheng +3 more
- 20 Jul 2009
- pp 302-304
8
TL;DR: In this article, the maximum likelihood estimation method of parameters of the weibull distribution is proposed for the reliability analysis of the engineering data of the rocket engine trials, and the estimation values of shape parameters and reliability analysis show that the method is feasible.
read more
Abstract: Based on random censored data, the maximum likelihood estimation method of parameters of the weibull distribution is put forward. By the parameters estimation, the reliability analysis of the engineering data of rocket engine trials is given. The estimation values of shape parameters and reliability analysis show that the method is feasible.
read more
Chat with Paper
AI Agents for this Paper
Find similar papers on Google Scholar, PubMed and Arxiv
Write a critical review of this paper
Analyze citations of this paper to find unaddressed research gaps
Citations
Thermal Cycling Life Prediction of Sn-3.0Ag-0.5Cu Solder Joint Using Type-I Censored Data
TL;DR: Failure analysis and microstructure evolution of lead-free solders are carried out to provide useful guidance for the regular maintenance, replacement of substructure, and subsequent processing of electronic products.
Health Assessment Model and Maintenance Decision Model for Seawall Prognostics and Health Management System
Zhuguang Lan,Ming Huang +1 more
TL;DR: The example analysis shows that the health assessment model can assess seawall health effectively and the maintenance decision model can make correct maintenance decisions in a timely fashion based on the seawal health state.
4
와이블분포 하에서 베이지안 기법과 전통적 기법 간의 신뢰도 추정 정확도 비교 / A Comparison of the Reliability Estimation Accuracy between Bayesian Methods and Classical Methods Based on Weibull Distribution
Hyung Jun Cho,Jun Hyoung Lim,Yong Soo Kim +2 more
- 19 Aug 2016
TL;DR: In this paper, the Weibull parameter estimation accuracy of LSE, MLE, and Bayesian method were compared for sample sets with 3 to 30 data points, and it was shown that Bayesian methods are more suitable for small sample sizes than LSE and MLE.
2
Study on Processing Method and Engineering Application of Censored Data
Yuanyuan Ma,Liyang Xie +1 more
TL;DR: It is shown that the practice of simply ignoring censored data will underestimate the fatigue performance of the test sample in different degrees after analysis and comparison of the two results.
1
References
Statistical Models and Methods for Lifetime Data.
Brian Francis,Jerald F. Lawless +1 more
Abstract: Basic Concepts and Models. Observation Schemes, Censoring and Likelihood. Some Nonparametric and Graphical Procedures. Inference Procedures for Parametric Models. Inference procedures for Log-Location-Scale Distributions. Parametric Regression Models. Semiparametric Multiplicative Hazards Regression Models. Rank-Type and Other Semiparametric Procedures for Log-Location-Scale Models. Multiple Modes of Failure. Goodness of Fit Tests. Beyond Univariate Survival Analysis. Appendix A. Glossary of Notation and Abbreviations. Appendix B. Asymptotic Variance Formulas, Gamma Functions and Order Statistics. Appendix C. Large Sample Theory for Likelihood and Estimating Function Methods. Appendix D. Computational Methods and Simulation. Appendix E. Inference in Location-Scale Parameter Models. Appendix F. Martingales and Counting Processes. Appendix G. Data Sets. References.
3.7K
Statistical Models and Methods for Lifetime Data
TL;DR: This book describes and illustrates how to compute a simple “naive” variance estimate and con dence intervals that would be correct under the assumption of an underlying nonhomogeneous Poisson process model.
3.4K
•Book
Statistical Methods for Reliability Data
Wayne Nelson
- 24 Jul 1998
TL;DR: In this paper, the use of Bayesian methods for reliability data is discussed and a detailed discussion of the application of these methods in the context of automated life test planning is presented.
Statistical Methods for Reliability Data
TL;DR: Statistical Methods For Reliability Data updates and improves established techniques as it demonstrates how to apply the new graphical, numerical, or simulation-based methods to a broad range of models encountered in reliability data analysis.
2K
•Journal Article
On the consistency of maximum likelihood estimators based on randomly censored data in the weibull distribution case
TL;DR: In this paper, the authors proved that the maximum likelihood estimators ■ n and ■ n are consistent estimators of α and λ respetively for almost all y w.r.t.d.
5