Title :
Bayes estimation for the Pareto failure-model using Gibbs sampling
Author :
Tiwari, Ram C. ; Yang, Yizhou ; Zalkikar, Jyoti N.
Author_Institution :
North Carolina Univ., Charlotte, NC, USA
fDate :
9/1/1996 12:00:00 AM
Abstract :
Bayes estimation of the parameters and the reliability function based on type-1 and type-2 censored samples from a Pareto failure model is considered. The analysis is extended to situations wherein the exact survival times are not available but only the number of deaths in prescribed time intervals is recorded. Bayes calculations can be implemented easily by means of the Gibbs Sampler
Keywords :
Bayes methods; failure analysis; gamma distribution; probability; reliability theory; Bayes estimation; Gibbs Sampler; Gibbs sampling; Pareto failure-model; acceptance algorithm; conjugate prior; credible interval; deaths; exact survival times; gamma distribution; generalised uniform distribution; improper prior; rejection algorithm; reliability function; type-1 censored samples; type-2 censored samples; Convergence; Hazards; Life estimation; Parameter estimation; Pareto analysis; Sampling methods; Shape; State estimation; Statistical analysis; Statistical distributions;
Journal_Title :
Reliability, IEEE Transactions on
