Abstract:
In this paper, we consider the problem of estimating the median of a gamma
distribution. We introduce a new point estimator based on an approximation
that we derive for the median of a gamma distribution. We compare the new
estimator with two conventional estimators, namely the sample median and
the maximum likelihood estimator (mle). Comparison is based on the amount
of computations required to calculate the estimates and the root mean square
errors ofthe estimators. The new estimator is shown to be 'optimum' with
respect to these two criteria.
