Title : 
The Burr Distribution as a Failure Model from a Bayesian Approach
         
        
            Author : 
Papadopoulos, Alex S.
         
        
            Author_Institution : 
Department of Mathematics; University of North Carolina at Charlotte; Charlotte, NC 28223 USA.
         
        
        
        
        
        
            Abstract : 
The 2-parameter Burr distribution is introduced as a failure model from a Bayesian approach. Bayesian estimators for the parameter p and reliability function are derived. Two priors are considered when the Bayesian approach is used: gamma and uniform. The Bayesian estimators of p and R(t) were derived in a closed form. Thus the Bayesian estimators are mathematically tractable and easy to use. A hypothetical example shows how the Burr distribution would be used as a failure model.
         
        
            Keywords : 
Art; Bayesian methods; Decision theory; Parameter estimation; Probability; Reliability theory; State estimation; Statistical distributions; Tin; Weibull distribution; Bayesian estimators; Burr distribution (2-parameter); Gamma distribution; Maximum likelihood estimators; Uniform distribution;
         
        
        
            Journal_Title : 
Reliability, IEEE Transactions on
         
        
        
        
        
            DOI : 
10.1109/TR.1978.5220427