Estimation of Failure Rate and its Applications in the Case of Zero-Failure Data

2014 ◽  
Vol 945-949 ◽  
pp. 1046-1049
Author(s):  
Ming Han
Keyword(s):  
Bayesian Estimation ◽  
Failure Rate ◽  
Estimation Method ◽  
New Method ◽  
Hierarchical Bayesian ◽  
Failure Data ◽  
Hierarchical Bayesian Estimation ◽  
Definition Of

This paper introduces a new method, named E-Bayesian estimation method, to estimate failure rate in zero-failure data. The definition of E-Bayesian estimation of the failure rate is given, based on the definition, the formulas of E-Bayesian estimation and hierarchical Bayesian estimation of the failure rate were provided, and properties of the E-Bayesian estimation, i. e. relations between E-Bayesian estimation and hierarchical Bayesian estimation, was discussed. Calculations were performed on practical problems, showing that the proposed new method is feasible and easy to operate.

Estimation of Failure Probability for Bearing and its Applications in the Case of Zero-Failure Data

2014 ◽  
Vol 915-916 ◽  
pp. 318-322 ◽  
Author(s):  
Ming Han
Keyword(s):  
Bayesian Estimation ◽  
Failure Probability ◽  
Estimation Method ◽  
Engineering Application ◽  
New Method ◽  
Hierarchical Bayesian ◽  
Failure Data ◽  
Hierarchical Bayesian Estimation ◽  
Definition Of

This paper introduces a new method, named E-Bayesian estimation method, to estimate failure probability. In the case of zero-failure data, the definition of E-Bayesian estimation of failure probability is provided; moreover, the formulas of E-Bayesian estimation and hierarchical Bayesian estimation and the property of E-Bayesian estimation of the failure probability are also provided. For the estimate failure probability, in the following sections we will see simple the E-Bayesian estimation method is method than hierarchical Bayesian estimation method. Finally, the calculated results of bearing show that the proposed method is feasible and convenient in engineering application.

E-Bayesian Estimation Method and its Applications in Reliability Engineering

2011 ◽  
Vol 199-200 ◽  
pp. 308-312
Author(s):  
Ming Han
Keyword(s):  
Bayesian Estimation ◽  
Failure Probability ◽  
Evaluation Method ◽  
Science And Technology ◽  
Estimation Method ◽  
New Method ◽  
Hierarchical Bayesian ◽  
Reliability Engineering ◽  
Hierarchical Bayesian Estimation ◽  
Definition Of

Evaluation method of reliability of industrial products needs to be improved effectively with the advance of science and technology. This paper introduces a new method, named E-Bayesian estimation method, to estimate failure probability in reliability engineering. The definition of E-Bayesian estimation of the failure probability is provided, moreover, the formulas of E-Bayesian estimation and hierarchical Bayesian estimation of the failure probability were provided, and properties of the E-Bayesian estimation, i.e. relations between E-Bayesian estimation and hierarchical Bayesian estimation, are also provided. Finally, calculation on practical problems shows that the provided method is feasible and easy to perform.

Estimation of Failure Probability and its Applications in Reliability Data Analysis

2010 ◽  
Vol 118-120 ◽  
pp. 601-605
Author(s):  
Han Ming
Keyword(s):  
Parameter Estimation ◽  
Data Analysis ◽  
Bayesian Estimation ◽  
Failure Probability ◽  
Evaluation Method ◽  
Estimation Method ◽  
New Method ◽  
Reliability Parameter ◽  
Hierarchical Bayesian Estimation ◽  
Definition Of

Evaluation method of reliability parameter estimation needs to be improved effectively with the advance of science and technology. This paper develops a new method of parameter estimation, which is named E-Bayesian estimation method. In the case one hyper-parameter, the definition of E-Bayesian estimation of the failure probability is provided, moreover, the formulas of E-Bayesian estimation and hierarchical Bayesian estimation, and the property of E-Bayesian estimation of the failure probability are also provided. Finally, calculation on practical problems shows that the provided method is feasible and easy to perform.

Estimation of Failure Rate and its Applications

2013 ◽  
Vol 756-759 ◽  
pp. 3149-3152
Author(s):  
Ming Han
Keyword(s):  
Parameter Estimation ◽  
Bayesian Estimation ◽  
Failure Rate ◽  
Estimation Method ◽  
Hierarchical Bayesian ◽  
Parameter Estimation Method ◽  
Hierarchical Bayesian Estimation

This paper introduces a new parameter estimation method, E-Bayesian estimation method, to estimate failure rate. The definition, properties, E-Bayesian estimation and hierarchical Bayesian estimation of failure rate are given. A example is also discussed. Through the example the efficiency and easiness of operation of this method are commended.

scholarly journals Estimation of Failure Probability and Its Applications in Lifetime Data Analysis

2011 ◽  
Vol 2011 ◽  
pp. 1-6 ◽  
Author(s):  
Ming Han
Keyword(s):  
Bayesian Estimation ◽  
Failure Probability ◽  
Estimation Method ◽  
Computing Methods ◽  
Lifetime Data ◽  
Hierarchical Bayesian ◽  
Lifetime Data Analysis ◽  
Hierarchical Bayesian Methods ◽  
Hierarchical Bayesian Method ◽  
Definition Of

Since Lindley and Smith introduced the idea of hierarchical prior distribution, some results have been obtained on hierarchical Bayesian method to deal with lifetime data. But all those results obtained by means of hierarchical Bayesian methods involve complicated integration compute. Though some computing methods such as Markov Chain Monte Carlo (MCMC) are available, doing integration is still very inconvenient for practical problems. This paper introduces a new method, named E-Bayesian estimation method, to estimate failure probability. In the case of one hyperparameter, the definition of E-Bayesian estimation of the failure probability is provided; moreover, the formulas of E-Bayesian estimation and hierarchical Bayesian estimation and the property of E-Bayesian estimation of the failure probability are also provided. Finally, calculation on practical problems shows that the provided method is feasible and easy to perform.

Sign in / Sign up

Export Citation Format

Share Document