Explicit expressions for single moments, recurrence relations for single and product 1
moments of order statistics of the omega distribution are derived. The L-moments are also obtained. 2
We also consider different methods for estimating the model parameters, namely: maximum 3
likelihood, maximum product of spacings, ordinary least-squares and weighted least-squares, 4
percentiles, Anderson–Darling and right–tail Anderson–Darling. For different parameter settings and 5
sample sizes, various simulation results are performed to compare the performance of the proposed 6
estimators. Further, the method of maximum likelihood is adopted to estimate the omega parameters 7
under type-II censoring scheme. The flexibility of the omega distribution is proved by means of a real 8
data set.