  In the present paper, we develop a new goodness fit test for gamma
distribution using the fixed point characterization. U-Statistic theory is
employed to derive the test statistic. We discuss how the right censored
observations are incorporated in the test developed here. The asymptotic
properties of the test statistic in both censored and uncensored cases are
studied in detail. Extensive Monte Carlo simulation studies are carried out to
validate the performance of the proposed tests. We also illustrate the test
procedure using several real data sets.
