Abstract
Estimation concerning the parameters of the lognormal distribution are discussed for progressively Type I interval censored samples. Maximum likelihood estimators as well as approximate Bayes estimators of the parameters are developed. The approximate asymptotic variance covariance matrix of the maximum likelihood estimates is given and the posterior risks for the Bayes estimates are derived. Illustrative examples involving real and simulated data sets show that the Bayes estimates provide more consistent results than the maximum likelihood estimates for the data discussed.