Bayesian Reliability Estimation Method for CNC System Based on the Prior Failure Rate

Author

Dazhang You ; Tang Xiaoqi

Author_Institution

Nat. Numerical Control Syst. Eng. Res. Center, Huazhong of Univ. Sci. & Technol., Wuhan, China

Volume

1

fYear

2010

fDate

13-14 March 2010

Firstpage

742

Lastpage

744

Abstract

The CNC system failure rate distillation function was deduced to adopt Bayes method, which used binomial probability distribution as the likelihood function kernels, and Beta distribution as the prior distribution. With the fully priori information, failure rate mean and variance was calculated, then the parameter in Beta distribution could be estimated. The 2-parameters Weibull distribution was the optimum fitting distribution of the CNC system failure probability distribution. The Shape parameter and size parameter of Weibull distribution could be estimated by using the failure rate gotten from Bayes formula, then the MTBF also could be estimated.

Keywords

Bayes methods; Weibull distribution; computerised numerical control; failure analysis; probability; reliability; Bayes method; Bayesian reliability estimation method; Beta distribution; CNC system failure rate distillation function; Weibull distribution; binomial probability distribution; likelihood function kernels; Bayesian methods; Capacitance; Computer numerical control; Fault currents; Frequency diversity; Genetic mutations; Grounding; Transient analysis; Wavelet analysis; Wavelet packets; CNC system; bayes; failure ratet; parameter estimation; reliabilitye;

fLanguage

English

Publisher

ieee

Conference_Titel

Measuring Technology and Mechatronics Automation (ICMTMA), 2010 International Conference on

Conference_Location

Changsha City

Print_ISBN

978-1-4244-5001-5

Electronic_ISBN

978-1-4244-5739-7

Type

conf

DOI

10.1109/ICMTMA.2010.802

Filename

5458869