Abstract
This paper is a continuation of previous work concerning progressively censored sampling in the normal and the exponential distribution [1], in the Weibull distribution [4], and in the log-normal distribution [5]. Here maximum likelihood estimators and estimators which utilize the first order statistic are derived for the three-parameter gamma distribution (Pearson's Type III Distribution) when samples are progressively censored. Various special cases are also considered. Illustrative examples involving life test data are included. Some of the sampling properties of the proposed estimators are investigated.