Bayes estimation of reliability for the two-parameter lognormal distribution
- 1 January 1977
- journal article
- research article
- Published by Taylor & Francis in Communications in Statistics - Theory and Methods
- Vol. 6 (5) , 443-457
- https://doi.org/10.1080/03610927708827505
Abstract
Bayes estimators of reliability for the lognormal failure distribution with two parameters (M,∑) are obtained both for informative priors of normal-gamma type and for the vague prior of Jeffreys. The estimators are in terms of the t-distribution function. The Bayes estimators are compared with the maximum likelihood and minimum variance unbiased estimators of reliabil-ity using Monte Carlo simulations.Keywords
This publication has 8 references indexed in Scilit:
- Progressively Censored Sampling in the Three Parameter Log-Normal DistributionTechnometrics, 1976
- A Note on Estimation in Lognormal ModelsJournal of the American Statistical Association, 1974
- Bayesian and Non-Bayesian Analysis of the Log-Normal Distribution and Log-Normal RegressionJournal of the American Statistical Association, 1971
- Two Theorems for Inferences about the Normal Distribution with Applications in Acceptance SamplingJournal of the American Statistical Association, 1964
- The Three-Parameter Lognormal Distribution and Bayesian Analysis of a Point-Source EpidemicJournal of the American Statistical Association, 1963
- Life Test Sampling Plans for Normal and Lognormal DistributionsTechnometrics, 1962
- Estimating Parameters of Logarithmic-Normal Distributions by Maximum LikelihoodJournal of the American Statistical Association, 1951
- On the Distribution of a Variate Whose Logarithm is Normally DistributedJournal of the Royal Statistical Society Series B: Statistical Methodology, 1941