Reliability Analysis for the Burr XII Units under Random Censoring

Xiao Lin Shi

doi:10.4028/www.scientific.net/AMM.321-324.2265

Paper Titles

The Optimization of Traffic Signal Control Using LP and NLP
p.2241

Effectiveness Analysis of City Major Hazards Standardization Construction Supervision System
p.2249

Research on Information Extraction Based on Web Table Structure and Ontology
p.2254

An Identifier-Selection Method for Expressway Network Based on Toll Collection Accuracy of Multi-Path
p.2260

Reliability Analysis for the Burr XII Units under Random Censoring
p.2265

Personalization Information Retrieval Based on Unigram Language Model
p.2269

Mobile Cloud Computing: Architecture and Security
p.2274

Study on 3-D Environment Technology of Basic Computer Teaching
p.2282

The Eigenvalue-Based Decomposition Method of Hermite Matrix and its Realization on Computer
p.2286

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 321-324Reliability Analysis for the Burr XII Units under...

Reliability Analysis for the Burr XII Units under Random Censoring

Abstract:

Based on random censored samples, the problem of estimating unknown parameters and reliability performances of the two-parameter Burr type XII units is considered. Firstly, we obtained the Bayesian estimates of the parameter for the two-parameter Burr type XII distribution under the asymmetric Linex loss functions. Secondly, the Bayesian estimates of the reliability performances are derived. In order to investigate the accuracy of estimations, an illustrative example is examined numerically by the Monte-Carlo simulation.

You might also be interested in these eBooks

View Preview

Info:

Periodical:

Applied Mechanics and Materials (Volumes 321-324)

Pages:

2265-2268

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.321-324.2265

Citation:

Cite this paper

Online since:

June 2013

Authors:

Xiao Lin Shi

Keywords:

Bayesian Estimator, Burr XII Model, Linex Loss, Random Censoring, Reliability Analysis

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] W.J. Zimmer, J. Bert Keats, F.K. Wang: The Burr XII Distribution in Reliability Analysis, J. Qual. Technol. Vol.30 (4) (1998), pp.386-394.

Google Scholar

[2] D. Moore, A.S. Papadopoulos: The Burr Type XII Distribution as a Failure Model Under Various Loss Functions, Microelectron. Reliab. Vol.40 (2000), pp.2117-2122.

DOI: 10.1016/s0026-2714(00)00031-7

Google Scholar

[3] M.A.M. Alimousa, Z.F. Jaheen: Statistical Inference for the Burr Model Based On Progressively Censored Data, Comput. Math. Appl. Vol.43 (2002), pp.1441-1449.

DOI: 10.1016/s0898-1221(02)00110-4

Google Scholar

[4] A.A. Soliman: Estimation of Parameters of Life from Progressively Censored Data Using Burr-XII Model, IEEE Trans. Reliab. Vol.54 , No.1 (2005), pp.34-42.

DOI: 10.1109/tr.2004.842528

Google Scholar

[5] Ali Mousa, M.A.M., Jaheen, etc: Bayesian Prediction for Progressively Censored Data from The Burr Model, Statist. Papers, Vol.43 (2002), pp.587-593.

DOI: 10.1007/s00362-002-0126-7

Google Scholar

[6] Alaa H. Abdel-Hamid: Constant-partially Accelerated Life Tests for Burr Type-XII Distribution with Progressive Type-II Censoring, Computational Statistics and Data Analysis, Vol.53 (2009), pp.2511-2523.

DOI: 10.1016/j.csda.2009.01.018

Google Scholar

[7] Zeinhum F. Jaheen, Hassan M. Okasha: E-Bayesian Estimation for the Burr Type XII Model Based on Type-2 Censoring, Applied Mathematical Modelling, Vol.35 (2011), pp.4730-4737.

DOI: 10.1016/j.apm.2011.03.055

Google Scholar

[8] Manoj Kumar Rastogi, Yogesh Mani Tripathi: Estimating the Parameters of a Burr Distribution under Progressive Type II Censoring, Statistical Methodology, Vol.9 (2012), pp.381-391.

DOI: 10.1016/j.stamet.2011.10.002

Google Scholar

[9] Huasheng Wang, Reliability Statistical Analysis for the Random Censoring Data, Railway Locomotive & Car, Vol. 4(2000), pp.21-24.

Google Scholar