Simultaneous Estimation of the Scale and Location Parameters of the gamma Probability Distribution by Use of Order Statistics

摘要

A technique is outlined for simultaneously estimating the location and scale parameters of a Gamma distribution with known shape parameter. The estimators are nearly best linear unbiased estimators (NBLUE). The Gamma distribution is defined and important moments of the Gamma derived. Values of sets of estimator coefficients are listed in a table. A thorough explanation of the table, along with a detailed example of its use, is given. Table ranges include shape parameters equal to 1.0(0.5)4.0 for samples of size 15(1)40. (Author)