On a family of bayesian estimators and predictors for a Gumbel model based on the $k$th lower records
Volume 31 / 2004
Applicationes Mathematicae 31 (2004), 107-115
MSC: 62F15, 62G99.
DOI: 10.4064/am31-1-9
Abstract
Bayesian estimation for the two parameters of a Gumbel distribution are obtained based on $k$th lower record values. Prediction, either point or interval, for future $k$th lower record values is also presented from a Bayesian view point. Some of the results of [4] can be obtained as special cases of our results $(k=1)$.